GPM.bib

@ARTICLE{1966MNRAS.133...67B,
   author = {{Burn}, B.~J.},
    title = "{On the depolarization of discrete radio sources by Faraday dispersion}",
  journal = {\mnras},
     year = 1966,
   volume = 133,
    pages = {67},
      doi = {10.1093/mnras/133.1.67},
   adsurl = {https://ui.adsabs.harvard.edu/abs/1966MNRAS.133...67B},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@ARTICLE{2005A&A...441.1217B,
       author = {{Brentjens}, M.~A. and {de Bruyn}, A.~G.},
        title = "{Faraday rotation measure synthesis}",
      journal = {\aap},
     keywords = {methods: data analysis, techniques: polarimetric, magnetic fields, polarization, ISM: magnetic fields, Cosmology: large-scale structure of Universe, Astrophysics},
         year = "2005",
        month = "Oct",
       volume = {441},
       number = {3},
        pages = {1217-1228},
          doi = {10.1051/0004-6361:20052990},
archivePrefix = {arXiv},
       eprint = {astro-ph/0507349},
 primaryClass = {astro-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2005A&A...441.1217B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@INPROCEEDINGS{2009IAUS..259..591H,
       author = {{Heald}, George},
        title = "{The Faraday rotation measure synthesis technique}",
     keywords = {Magnetic fields, polarization, methods: data analysis, techniques: polarimetric},
    booktitle = {Cosmic Magnetic Fields: From Planets, to Stars and Galaxies},
         year = "2009",
       editor = {{Strassmeier}, Klaus G. and {Kosovichev}, Alexander G. and
         {Beckman}, John E.},
       series = {IAU Symposium},
       volume = {259},
        month = "Apr",
        pages = {591-602},
          doi = {10.1017/S1743921309031421},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2009IAUS..259..591H},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{Sun_2015,
	doi = {10.1088/0004-6256/149/2/60},
	url = {https://doi.org/10.1088%2F0004-6256%2F149%2F2%2F60},
	year = 2015,
	month = {jan},
	publisher = {{IOP} Publishing},
	volume = {149},
	number = {2},
	pages = {60},
	author = {X. H. Sun and L. Rudnick and Takuya Akahori and C. S. Anderson and M. R. Bell and J. D. Bray and J. S. Farnes and S. Ideguchi and K. Kumazaki and T. O'Brien and S. P. O'Sullivan and A. M. M. Scaife and R. Stepanov and J. Stil and K. Takahashi and R. J. van Weeren and M. Wolleben},
	title = {{COMPARISON} {OF} {ALGORITHMS} {FOR} {DETERMINATION} {OF} {ROTATION} {MEASURE} {AND} {FARADAY} {STRUCTURE}. I. 1100{\textendash}1400 {MHZ}},
	journal = {The Astronomical Journal},
	abstract = {.}
}

@article{10.1111/j.1365-2966.2012.20554.x,
    author = {O'Sullivan, S. P. and Brown, S. and Robishaw, T. and Schnitzeler, D. H. F. M. and McClure‐Griffiths, N. M. and Feain, I. J. and Taylor, A. R. and Gaensler, B. M. and Landecker, T. L. and Harvey‐Smith, L. and Carretti, E.},
    title = "{Complex Faraday depth structure of active galactic nuclei as revealed by broad‐band radio polarimetry}",
    journal = {Monthly Notices of the Royal Astronomical Society},
    volume = {421},
    number = {4},
    pages = {3300-3315},
    year = {2012},
    month = {04},
    abstract = "{.}",
    issn = {0035-8711},
    doi = {10.1111/j.1365-2966.2012.20554.x},
    url = {https://doi.org/10.1111/j.1365-2966.2012.20554.x},
    eprint = {http://oup.prod.sis.lan/mnras/article-pdf/421/4/3300/3821486/mnras0421-3300.pdf},
}

@article{Farnsworth_2011,
	doi = {10.1088/0004-6256/141/6/191},
	url = {https://doi.org/10.1088%2F0004-6256%2F141%2F6%2F191},
	year = 2011,
	month = {may},
	publisher = {{IOP} Publishing},
	volume = {141},
	number = {6},
	pages = {191},
	author = {Damon Farnsworth and Lawrence Rudnick and Shea Brown},
	title = {{INTEGRATED} {POLARIZATION} {OF} {SOURCES} {AT} $\uplambda$ $\sim$ 1 m {AND} {NEW} {ROTATION} {MEASURE} {AMBIGUITIES}},
	journal = {The Astronomical Journal},
	abstract = {.}
}

@ARTICLE{2014ApJ...792...51I,
       author = {{Ideguchi}, Shinsuke and {Tashiro}, Yuichi and {Akahori}, Takuya and
         {Takahashi}, Keitaro and {Ryu}, Dongsu},
        title = "{Faraday Dispersion Functions of Galaxies}",
      journal = {\apj},
     keywords = {galaxies: magnetic fields, galaxies: structure, polarization, techniques: polarimetric, Astrophysics - Astrophysics of Galaxies},
         year = "2014",
        month = "Sep",
       volume = {792},
       number = {1},
          eid = {51},
        pages = {51},
          doi = {10.1088/0004-637X/792/1/51},
archivePrefix = {arXiv},
       eprint = {1407.0098},
 primaryClass = {astro-ph.GA},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2014ApJ...792...51I},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{wa06300n,
  author={Way, M. J. and Foster, L. V. and Gazis, P. R. and Srivastava, A. N.},
  title={New approaches to Gaussian process regression in the Sloan Digital Sky Survey},
  year={2009},
  journal={Astrophys. J.},
  volume={706},
  pages={623--636},
  doi={10.1088/0004-637X/706/1/623},
}

@ARTICLE{2018MNRAS.474.2094A,
       author = {{Angus}, Ruth and {Morton}, Timothy and {Aigrain}, Suzanne and
         {Foreman-Mackey}, Daniel and {Rajpaul}, Vinesh},
        title = "{Inferring probabilistic stellar rotation periods using Gaussian processes}",
      journal = {\mnras},
     keywords = {methods: data analysis, methods: statistical, techniques: photometric, stars: rotation, stars: solar-type, starspots, Astrophysics - Solar and Stellar Astrophysics, Astrophysics - Instrumentation and Methods for Astrophysics},
         year = "2018",
        month = "Feb",
       volume = {474},
       number = {2},
        pages = {2094-2108},
          doi = {10.1093/mnras/stx2109},
archivePrefix = {arXiv},
       eprint = {1706.05459},
 primaryClass = {astro-ph.SR},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2018MNRAS.474.2094A},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{10.1093/mnras/stw2417,
    author = {McAllister, M. J. and Littlefair, S. P. and Dhillon, V. S. and Marsh, T. R. and Ashley, R. P. and Bours, M. C. P. and Breedt, E. and Hardy, L. K. and Hermes, J. J. and Kengkriangkrai, S. and Kerry, P. and Rattanasoon, S. and Sahman, D. I.},
    title = "{Using Gaussian processes to model light curves in the presence of flickering: the eclipsing cataclysmic variable ASASSN-14ag}",
    journal = {Monthly Notices of the Royal Astronomical Society},
    volume = {464},
    number = {2},
    pages = {1353-1364},
    year = {2016},
    month = {09},
    abstract = "{.}",
    issn = {0035-8711},
    doi = {10.1093/mnras/stw2417},
    url = {https://doi.org/10.1093/mnras/stw2417},
    eprint = {http://oup.prod.sis.lan/mnras/article-pdf/464/2/1353/8334732/stw2417.pdf},
}


@ARTICLE{2012MNRAS.419.2683G,
       author = {{Gibson}, N.~P. and {Aigrain}, S. and {Roberts}, S. and {Evans}, T.~M. and
         {Osborne}, M. and {Pont}, F.},
        title = "{A Gaussian process framework for modelling instrumental systematics: application to transmission spectroscopy}",
      journal = {\mnras},
     keywords = {methods: data analysis, techniques: spectroscopic, stars: individual: HD 189733, planetary systems, Astrophysics - Earth and Planetary Astrophysics},
         year = "2012",
        month = "Jan",
       volume = {419},
       number = {3},
        pages = {2683-2694},
          doi = {10.1111/j.1365-2966.2011.19915.x},
archivePrefix = {arXiv},
       eprint = {1109.3251},
 primaryClass = {astro-ph.EP},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2012MNRAS.419.2683G},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{10.1093/mnras/stv1428,
    author = {Rajpaul, V. and Aigrain, S. and Osborne, M. A. and Reece, S. and Roberts, S.},
    title = "{A Gaussian process framework for modelling stellar activity signals in radial velocity data}",
    journal = {Monthly Notices of the Royal Astronomical Society},
    volume = {452},
    number = {3},
    pages = {2269-2291},
    year = {2015},
    month = {07},
    abstract = "{.}",
    issn = {0035-8711},
    doi = {10.1093/mnras/stv1428},
    url = {https://doi.org/10.1093/mnras/stv1428},
    eprint = {http://oup.prod.sis.lan/mnras/article-pdf/452/3/2269/4912584/stv1428.pdf},
}

@ARTICLE{1987MNRAS.226..655B,
   author = {{Bond}, J.~R. and {Efstathiou}, G.},
    title = "{The statistics of cosmic background radiation fluctuations}",
  journal = {\mnras},
 keywords = {Computational Astrophysics, Cosmology, Radiation Distribution, Relic Radiation, Statistical Analysis, Angular Correlation, Anisotropy, Correlation, Dark Matter, Power Spectra},
     year = 1987,
    month = jun,
   volume = 226,
    pages = {655-687},
      doi = {10.1093/mnras/226.3.655},
   adsurl = {https://ui.adsabs.harvard.edu/abs/1987MNRAS.226..655B},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@ARTICLE{1999CoScE...1...21B,
   author = {{Bond}, J.~R. and {Crittenden}, R.~G. and {Jaffe}, A.~H. and 
	{Knox}, L.},
    title = "{Computing challenges of the cosmic microwave background.}",
  journal = {Comput.~Sci.~Eng., Vol.~1, No.~2, p.~21 - 35},
 keywords = {Cosmic Microwave Background: Computing},
     year = 1999,
    month = apr,
   volume = 1,
    pages = {21-35},
   adsurl = {https://ui.adsabs.harvard.edu/abs/1999CoScE...1...21B},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{PhysRevD.67.023001,
  title = {Fast, exact CMB power spectrum estimation for a certain class of observational strategies},
  author = {Wandelt, Benjamin D. and Hansen, Frode K.},
  journal = {Phys. Rev. D},
  volume = {67},
  issue = {2},
  pages = {023001},
  numpages = {9},
  year = {2003},
  month = {Jan},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevD.67.023001},
  url = {https://link.aps.org/doi/10.1103/PhysRevD.67.023001}
}


@ARTICLE{2014MNRAS.443.2517H,
       author = {{Haywood}, R.~D. and {Collier Cameron}, A. and {Queloz}, D. and
         {Barros}, S.~C.~C. and {Deleuil}, M. and {Fares}, R. and {Gillon}, M. and
         {Lanza}, A.~F. and {Lovis}, C. and {Moutou}, C. and {Pepe}, F. and
         {Pollacco}, D. and {Santerne}, A. and {S{\'e}gransan}, D. and
         {Unruh}, Y.~C.},
        title = "{Planets and stellar activity: hide and seek in the CoRoT-7 system}",
      journal = {\mnras},
     keywords = {techniques: radial velocities, stars: activity, stars: individual: CoRoT-7, planetary systems, Astrophysics - Earth and Planetary Astrophysics, Astrophysics - Solar and Stellar Astrophysics},
         year = "2014",
        month = "Sep",
       volume = {443},
       number = {3},
        pages = {2517-2531},
          doi = {10.1093/mnras/stu1320},
archivePrefix = {arXiv},
       eprint = {1407.1044},
 primaryClass = {astro-ph.EP},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2014MNRAS.443.2517H},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{2015ApJ...800...46B,
       author = {{Barclay}, Thomas and {Endl}, Michael and {Huber}, Daniel and
         {Foreman-Mackey}, Daniel and {Cochran}, William D. and
         {MacQueen}, Phillip J. and {Rowe}, Jason F. and {Quintana}, Elisa V.},
        title = "{Radial Velocity Observations and Light Curve Noise Modeling Confirm that Kepler-91b is a Giant Planet Orbiting a Giant Star}",
      journal = {\apj},
     keywords = {methods: data analysis, methods: statistical, planetary systems, stars: individual: Kepler-91 KIC 8219268 KOI-2133, techniques: photometric, techniques: radial velocities, Astrophysics - Earth and Planetary Astrophysics},
         year = "2015",
        month = "Feb",
       volume = {800},
       number = {1},
          eid = {46},
        pages = {46},
          doi = {10.1088/0004-637X/800/1/46},
archivePrefix = {arXiv},
       eprint = {1408.3149},
 primaryClass = {astro-ph.EP},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2015ApJ...800...46B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{Czekala_2015,
	doi = {10.1088/0004-637x/812/2/128},
	url = {https://doi.org/10.1088%2F0004-637x%2F812%2F2%2F128},
	year = 2015,
	month = {oct},
	publisher = {{IOP} Publishing},
	volume = {812},
	number = {2},
	pages = {128},
	author = {Ian Czekala and Sean M. Andrews and Kaisey S. Mandel and David W. Hogg and Gregory M. Green},
	title = {{CONSTRUCTING} A {FLEXIBLE} {LIKELIHOOD} {FUNCTION} {FOR} {SPECTROSCOPIC} {INFERENCE}},
	journal = {The Astrophysical Journal},
	abstract = {.}
}

@ARTICLE{2015MNRAS.451..680E,
       author = {{Evans}, Thomas M. and {Aigrain}, Suzanne and {Gibson}, Neale and
         {Barstow}, Joanna K. and {Amundsen}, David S. and {Tremblin}, Pascal and
         {Mourier}, Pierre},
        title = "{A uniform analysis of HD 209458b Spitzer/IRAC light curves with Gaussian process models}",
      journal = {\mnras},
     keywords = {methods: data analysis, planets and satellites: atmospheres, planets and satellites: general, stars: individual: HD 209458, Astrophysics - Earth and Planetary Astrophysics},
         year = "2015",
        month = "Jul",
       volume = {451},
       number = {1},
        pages = {680-694},
          doi = {10.1093/mnras/stv910},
archivePrefix = {arXiv},
       eprint = {1504.05942},
 primaryClass = {astro-ph.EP},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2015MNRAS.451..680E},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{2015Natur.526..546V,
   author = {{Vanderburg}, A. and {Johnson}, J.~A. and {Rappaport}, S. and 
	{Bieryla}, A. and {Irwin}, J. and {Lewis}, J.~A. and {Kipping}, D. and 
	{Brown}, W.~R. and {Dufour}, P. and {Ciardi}, D.~R. and {Angus}, R. and 
	{Schaefer}, L. and {Latham}, D.~W. and {Charbonneau}, D. and 
	{Beichman}, C. and {Eastman}, J. and {McCrady}, N. and {Wittenmyer}, R.~A. and 
	{Wright}, J.~T.},
    title = "{A disintegrating minor planet transiting a white dwarf}",
  journal = {\nat},
archivePrefix = "arXiv",
   eprint = {1510.06387},
 primaryClass = "astro-ph.EP",
     year = 2015,
    month = oct,
   volume = 526,
    pages = {546-549},
      doi = {10.1038/nature15527},
   adsurl = {https://ui.adsabs.harvard.edu/abs/2015Natur.526..546V},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{2016MNRAS.459.2408A,
   author = {{Aigrain}, S. and {Parviainen}, H. and {Pope}, B.~J.~S.},
    title = "{K2SC: flexible systematics correction and detrending of K2 light curves using Gaussian process regression}",
  journal = {\mnras},
archivePrefix = "arXiv",
   eprint = {1603.09167},
 primaryClass = "astro-ph.SR",
 keywords = {methods: data analysis, planetary systems, stars: rotation},
     year = 2016,
    month = jul,
   volume = 459,
    pages = {2408-2419},
      doi = {10.1093/mnras/stw706},
   adsurl = {https://ui.adsabs.harvard.edu/abs/2016MNRAS.459.2408A},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{2016MNRAS.456L...6R,
   author = {{Rajpaul}, V. and {Aigrain}, S. and {Roberts}, S.},
    title = "{Ghost in the time series: no planet for Alpha Cen B}",
  journal = {\mnras},
archivePrefix = "arXiv",
   eprint = {1510.05598},
 primaryClass = "astro-ph.EP",
 keywords = {methods: data analysis, techniques: radial velocities, stars: activity, stars: individual: Alpha Cen B, planetary systems},
     year = 2016,
    month = feb,
   volume = 456,
    pages = {L6-L10},
      doi = {10.1093/mnrasl/slv164},
   adsurl = {https://ui.adsabs.harvard.edu/abs/2016MNRAS.456L...6R},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{2017MNRAS.466.4250L,
       author = {{Littlefair}, S.~P. and {Burningham}, B. and {Helling}, Ch.},
        title = "{Robust detection of quasi-periodic variability: a HAWK-I mini survey of late-T dwarfs}",
      journal = {\mnras},
     keywords = {Stars: brown dwarfs, brown dwarfs, Astrophysics - Solar and Stellar Astrophysics},
         year = "2017",
        month = "Apr",
       volume = {466},
       number = {4},
        pages = {4250-4258},
          doi = {10.1093/mnras/stw3376},
archivePrefix = {arXiv},
       eprint = {1703.01245},
 primaryClass = {astro-ph.SR},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2017MNRAS.466.4250L},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@book{3569,
  title = {Gaussian Processes for Machine Learning},
  author = {Rasmussen, CE. and Williams, CKI.},
  pages = {248},
  series = {Adaptive Computation and Machine Learning},
  publisher = {MIT Press},
  organization = {Max-Planck-Gesellschaft},
  school = {Biologische Kybernetik},
  address = {Cambridge, MA, USA},
  month = jan,
  year = {2006},
  month_numeric = {1}
}

@article{article,
author = {Roberts, Stephen and Osborne, Michael and Ebden, Mark and Reece, Steven and Gibson, N and Aigrain, S},
year = {2013},
month = {02},
pages = {20110550},
title = {Gaussian processes for time-series modelling},
volume = {371},
journal = {Philosophical transactions. Series A, Mathematical, physical, and engineering sciences},
doi = {10.1098/rsta.2011.0550}
}

@article{celerite,
    author = {{Foreman-Mackey}, D. and {Agol}, E. and {Angus}, R. and
              {Ambikasaran}, S.},
     title = {Fast and scalable Gaussian process modeling
              with applications to astronomical time series},
      year = {2017},
   journal = {ArXiv},
       url = {https://arxiv.org/abs/1703.09710}
}

%is this Sun et al (2017)
@ARTICLE{2018arXiv180604326S,
       author = {{Sun}, Shengyang and {Zhang}, Guodong and {Wang}, Chaoqi and
         {Zeng}, Wenyuan and {Li}, Jiaman and {Grosse}, Roger},
        title = "{Differentiable Compositional Kernel Learning for Gaussian Processes}",
      journal = {arXiv e-prints},
     keywords = {Computer Science - Machine Learning, Statistics - Machine Learning},
         year = "2018",
        month = "Jun",
          eid = {arXiv:1806.04326},
        pages = {arXiv:1806.04326},
archivePrefix = {arXiv},
       eprint = {1806.04326},
 primaryClass = {cs.LG},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2018arXiv180604326S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{george_stil_keller_2012, title={Detection Thresholds and Bias Correction in Polarized Intensity}, volume={29}, DOI={10.1071/AS11027}, number={3}, journal={Publications of the Astronomical Society of Australia}, publisher={Cambridge University Press}, author={George, Samuel J. and Stil, Jeroen M. and Keller, Ben W.}, year={2012}, pages={214–220}}

@ARTICLE{2009IEEEP..97.1522J,
   author = {{Jonas}, J.~L.},
    title = "{MeerKAT - The South African Array With Composite Dishes and Wide-Band Single Pixel Feeds}",
  journal = {IEEE Proceedings},
     year = 2009,
    month = aug,
   volume = 97,
    pages = {1522-1530},
      doi = {10.1109/JPROC.2009.2020713},
   adsurl = {https://ui.adsabs.harvard.edu/abs/2009IEEEP..97.1522J},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@ARTICLE{5136190,
author={P. E. {Dewdney} and P. J. {Hall} and R. T. {Schilizzi} and T. J. L. W. {Lazio}},
journal={Proceedings of the IEEE},
title={The Square Kilometre Array},
year={2009},
volume={97},
number={8},
pages={1482-1496},
keywords={antennas;radiotelescopes;Square Kilometre Array;ultrasensitive radio telescope;Universe;antennas;Radio astronomy;Telescopes;Space technology;Physics;Probes;Apertures;History;Observatories;Electromagnetic spectrum;Africa;Aperture synthesis;digital correlator;digital data transmission;digital signal processing;Fourier imaging;low-noise amplifier;radio astronomy;radio telescope},
doi={10.1109/JPROC.2009.2021005},
ISSN={0018-9219},
month={Aug},}

@article{Justin,
author = {Justin L. Jonas},
year = {2016},
month = {05},
pages = {},
title = {The MeerKAT Radio Telescope},
volume = {.},
journal = {.},
doi = {.}
}

@article{Jarvis:2017aml,
      author         = "Jarvis, Matt J. and others",
      title          = "{The MeerKAT International GHz Tiered Extragalactic
                        Exploration (MIGHTEE) Survey}",
      booktitle      = "{Proceedings, MeerKAT Science: On the Pathway to the SKA
                        (MeerKAT2016): Stellenbosch, South Africa, May 25-27,
                        2016}",
      journal        = "PoS",
      volume         = "MeerKAT2016",
      year           = "2018",
      pages          = "006",
      doi            = "10.22323/1.277.0006",
      eprint         = "1709.01901",
      archivePrefix  = "arXiv",
      primaryClass   = "astro-ph.GA",
      SLACcitation   = "%%CITATION = ARXIV:1709.01901;%%"
}


@article{Taylor_2017,
	doi = {10.1088/1757-899x/198/1/012014},
	url = {https://doi.org/10.1088%2F1757-899x%2F198%2F1%2F012014},
	year = 2017,
	month = {may},
	publisher = {{IOP} Publishing},
	volume = {198},
	pages = {012014},
	author = {A Russ Taylor and Matt Jarvis},
	title = {{MIGHTEE}: The {MeerKAT} International {GHz} Tiered Extragalactic Exploration},
	journal = {{IOP} Conference Series: Materials Science and Engineering},
	abstract = {.}
}


@article{burnham,
author = {Kenneth P. Burnham and David R. Anderson},
title ={Multimodel Inference: Understanding AIC and BIC in Model Selection},
journal = {Sociological Methods \& Research},
volume = {33},
number = {2},
pages = {261-304},
year = {2004},
doi = {10.1177/0049124104268644},
URL = {https://doi.org/10.1177/0049124104268644},
eprint = {https://doi.org/10.1177/0049124104268644}
}

@ARTICLE{1978AnSta...6..461S,
   author = {{Schwarz}, G.},
    title = "{Estimating the Dimension of a Model}",
  journal = {Annals of Statistics},
     year = 1978,
    month = jul,
   volume = 6,
    pages = {461-464},
   adsurl = {https://ui.adsabs.harvard.edu/abs/1978AnSta...6..461S},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{dezotti,
       author = {{de Zotti}, Gianfranco and {Massardi}, Marcella and {Negrello}, Mattia and
         {Wall}, Jasper},
        title = "{Radio and millimeter continuum surveys and their astrophysical implications}",
      journal = {\aapr},
     keywords = {Radio continuum: galaxies, Galaxies: active, Galaxies: starburst, Galaxies: statistics, Quasars: general, Astrophysics - Cosmology and Nongalactic Astrophysics, Astrophysics - Astrophysics of Galaxies},
         year = 2010,
        month = feb,
       volume = {18},
       number = {1-2},
        pages = {1-65},
          doi = {10.1007/s00159-009-0026-0},
archivePrefix = {arXiv},
       eprint = {0908.1896},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2010A&ARv..18....1D},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{stil_2014,
       author = {{Stil}, J.~M. and {Keller}, B.~W. and {George}, S.~J. and
         {Taylor}, A.~R.},
        title = "{Degree of Polarization and Source Counts of Faint Radio Sources from Stacking Polarized Intensity}",
      journal = {\apj},
     keywords = {galaxies: statistics, magnetic fields, methods: data analysis, polarization, radio continuum: galaxies, Astrophysics - Astrophysics of Galaxies},
         year = 2014,
        month = jun,
       volume = {787},
       number = {2},
          eid = {99},
        pages = {99},
          doi = {10.1088/0004-637X/787/2/99},
archivePrefix = {arXiv},
       eprint = {1404.1859},
 primaryClass = {astro-ph.GA},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2014ApJ...787...99S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{law2011,
       author = {{Law}, C.~J. and {Gaensler}, B.~M. and {Bower}, G.~C. and
         {Backer}, D.~C. and {Bauermeister}, A. and {Croft}, S. and
         {Forster}, R. and {Gutierrez-Kraybill}, C. and {Harvey-Smith}, L. and
         {Heiles}, C. and {Hull}, C. and {Keating}, G. and {MacMahon}, D. and
         {Whysong}, D. and {Williams}, P.~K.~G. and {Wright}, M.},
        title = "{Spectropolarimetry with the Allen Telescope Array: Faraday Rotation Toward Bright Polarized Radio Galaxies}",
      journal = {\apj},
     keywords = {galaxies: magnetic fields, radio continuum: galaxies, surveys, techniques: polarimetric, Astrophysics - Cosmology and Nongalactic Astrophysics},
         year = 2011,
        month = feb,
       volume = {728},
       number = {1},
          eid = {57},
        pages = {57},
          doi = {10.1088/0004-637X/728/1/57},
archivePrefix = {arXiv},
       eprint = {1012.0945},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2011ApJ...728...57L},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{lofarpyrmsynth,
       author = {{Van Eck}, C.~L. and {Haverkorn}, M. and {Alves}, M.~I.~R. and
         {Beck}, R. and {Best}, P. and {Carretti}, E. and {Chy{\.z}y}, K.~T. and
         {Farnes}, J.~S. and {Ferri{\`e}re}, K. and {Hardcastle}, M.~J. and
         {Heald}, G. and {Horellou}, C. and {Iacobelli}, M. and {Jeli{\'c}}, V. and
         {Mulcahy}, D.~D. and {O'Sullivan}, S.~P. and {Polderman}, I.~M. and
         {Reich}, W. and {Riseley}, C.~J. and {R{\"o}ttgering}, H. and
         {Schnitzeler}, D.~H.~F.~M. and {Shimwell}, T.~W. and {Vacca}, V. and
         {Vink}, J. and {White}, G.~J.},
        title = "{Polarized point sources in the LOFAR Two-meter Sky Survey: A preliminary catalog}",
      journal = {\aap},
     keywords = {polarization, ISM: magnetic fields, Astrophysics - Astrophysics of Galaxies},
         year = 2018,
        month = jun,
       volume = {613},
          eid = {A58},
        pages = {A58},
          doi = {10.1051/0004-6361/201732228},
archivePrefix = {arXiv},
       eprint = {1801.04467},
 primaryClass = {astro-ph.GA},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2018A&A...613A..58V},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{emcee,
       author = {{Foreman-Mackey}, Daniel and {Hogg}, David W. and {Lang}, Dustin and
         {Goodman}, Jonathan},
        title = "{emcee: The MCMC Hammer}",
      journal = {\pasp},
     keywords = {Astrophysics - Instrumentation and Methods for Astrophysics, Physics - Computational Physics, Statistics - Computation},
         year = 2013,
        month = mar,
       volume = {125},
       number = {925},
        pages = {306},
          doi = {10.1086/670067},
archivePrefix = {arXiv},
       eprint = {1202.3665},
 primaryClass = {astro-ph.IM},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2013PASP..125..306F},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{AIC,
  author={H. {Akaike}},
  journal={IEEE Transactions on Automatic Control}, 
  title={A new look at the statistical model identification}, 
  year={1974},
  volume={19},
  number={6},
  pages={716-723},
  doi={10.1109/TAC.1974.1100705}
}

@article{AICc,
    author = {Hurvich, Clifford M. and Tsai, Chih-Ling},
    title = "{Regression and time series model selection in small samples}",
    journal = {Biometrika},
    volume = {76},
    number = {2},
    pages = {297-307},
    year = {1989},
    month = {06},
    abstract = "{A bias correction to the Akaike information criterion, AIC, is derived for regression and autoregressive time series models. The correction is of particular use when the sample size is small, or when the number of fitted parameters is a moderate to large fraction of the sample size. The corrected method, called AICC, is asymptotically efficient if the true model is infinite dimensional. Furthermore, when the true model is of finite dimension, AICC is found to provide better model order choices than any other asymptotically efficient method. Applications to nonstationary autoregressive and mixed autoregressive moving average time series models are also discussed.}",
    issn = {0006-3444},
    doi = {10.1093/biomet/76.2.297},
    url = {https://doi.org/10.1093/biomet/76.2.297},
    eprint = {https://academic.oup.com/biomet/article-pdf/76/2/297/737009/76-2-297.pdf}
}

@ARTICLE{biccomp,
  author={Bollen, Kenneth A. and Harden, Jeffrey J. and Ray, Surajit and Zavisca, Jane},
  journal={Structural equation modeling : a multidisciplinary journal}, 
  title={BIC and Alternative Bayesian Information Criteria in the Selection of Structural Equation Models}, 
  year={2014},
  volume={21},
  number={1},
  pages={1-19},
  doi={10.1080/10705511.2014.856691}
}

@ARTICLE{ensslinfromert,
       author = {{Leike}, R.~H. and {En{\ss}lin}, T.~A.},
        title = "{Charting nearby dust clouds using Gaia data only}",
      journal = {\aap},
     keywords = {dust, extinction, local insterstellar matter, methods: data analysis, solar neighborhood, Astrophysics - Astrophysics of Galaxies, Astrophysics - Solar and Stellar Astrophysics},
         year = 2019,
        month = nov,
       volume = {631},
          eid = {A32},
        pages = {A32},
          doi = {10.1051/0004-6361/201935093},
archivePrefix = {arXiv},
       eprint = {1901.05971},
 primaryClass = {astro-ph.GA},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2019A&A...631A..32L},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{kassrafferty,
 author = {Kass, Robert E. and Raftery, Adrian E.},
 ISSN = {01621459},
 URL = {http://www.jstor.org/stable/2291091},
 number = {430},
 pages = {773--795},
 publisher = {[American Statistical Association, Taylor & Francis, Ltd.]},
 journal = {Journal of the American Statistical Association},
 title = {Bayes Factors},
 volume = {90},
 year = {1995}
}

@ARTICLE{resolve,
       author = {{Junklewitz}, H. and {Bell}, M.~R. and {Selig}, M. and
         {En{\ss}lin}, T.~A.},
        title = "{RESOLVE: A new algorithm for aperture synthesis imaging of extended emission in radio astronomy}",
      journal = {\aap},
     keywords = {methods: data analysis, methods: statistical, techniques: image processing, techniques: interferometric, radio continuum: general, Astrophysics - Instrumentation and Methods for Astrophysics},
         year = 2016,
        month = feb,
       volume = {586},
          eid = {A76},
        pages = {A76},
          doi = {10.1051/0004-6361/201323094},
archivePrefix = {arXiv},
       eprint = {1311.5282},
 primaryClass = {astro-ph.IM},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2016A&A...586A..76J},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{deep2,
       author = {{Mauch}, T. and {Cotton}, W.~D. and {Condon}, J.~J. and
         {Matthews}, A.~M. and {Abbott}, T.~D. and {Adam}, R.~M. and
         {Aldera}, M.~A. and {Asad}, K.~M.~B. and {Bauermeister}, E.~F. and
         {Bennett}, T.~G.~H. and {Bester}, H. and {Botha}, D.~H. and
         {Brederode}, L.~R.~S. and {Brits}, Z.~B. and {Buchner}, S.~J. and
         {Burger}, J.~P. and {Camilo}, F. and {Chalmers}, J.~M. and
         {Cheetham}, T. and {de Villiers}, D. and {de Villiers}, M.~S. and
         {Dikgale-Mahlakoana}, M.~A. and {du Toit}, L.~J. and
         {Esterhuyse}, S.~W.~P. and {Fadana}, G. and {Fanaroff}, B.~L. and
         {Fataar}, S. and {February}, S. and {Frank}, B.~S. and
         {Gamatham}, R.~R.~G. and {Geyer}, M. and {Goedhart}, S. and
         {Gounden}, S. and {Gumede}, S.~C. and {Heywood}, I. and
         {Hlakola}, M.~J. and {Horrell}, J.~M.~G. and {Hugo}, B. and
         {Isaacson}, A.~R. and {J{\'o}zsa}, G.~I.~G. and {Jonas}, J.~L. and
         {Julie}, R.~P.~M. and {Kapp}, F.~B. and {Kasper}, V.~A. and
         {Kenyon}, J.~S. and {Kotz{\'e}}, P.~P.~A. and {Kriek}, N. and
         {Kriel}, H. and {Kusel}, T.~W. and {Lehmensiek}, R. and {Loots}, A. and
         {Lord}, R.~T. and {Lunsky}, B.~M. and {Madisa}, K. and {Magnus}, L.~G. and
         {Main}, J.~P.~L. and {Malan}, J.~A. and {Manley}, J.~R. and
         {Marais}, S.~J. and {Martens}, A. and {Merry}, B. and {Millenaar}, R. and
         {Mnyandu}, N. and {Moeng}, I.~P.~T. and {Mokone}, O.~J. and
         {Monama}, T.~E. and {Mphego}, M.~C. and {New}, W.~S. and
         {Ngcebetsha}, B. and {Ngoasheng}, K.~J. and {Ockards}, M.~T.~O. and
         {Oozeer}, N. and {Otto}, A.~J. and {Patel}, A.~A. and
         {Peens-Hough}, A. and {Perkins}, S.~J. and {Ramaila}, A.~J.~T. and
         {Ramudzuli}, Z.~R. and {Renil}, R. and {Richter}, L.~L. and
         {Robyntjies}, A. and {Salie}, S. and {Schollar}, C.~T.~G. and
         {Schwardt}, L.~C. and {Serylak}, M. and {Siebrits}, R. and
         {Sirothia}, S.~K. and {Smirnov}, O.~M. and {Sofeya}, L. and
         {Stone}, G. and {Taljaard}, B. and {Tasse}, C. and {Theron}, I.~P. and
         {Tiplady}, A.~J. and {Toruvanda}, O. and {Twum}, S.~N. and
         {van Balla}, T.~J. and {van der Byl}, A. and {van der Merwe}, C. and
         {Van Tonder}, V. and {Wallace}, B.~H. and {Welz}, M.~G. and
         {Williams}, L.~P. and {Xaia}, B.},
        title = "{The 1.28 GHz MeerKAT DEEP2 Image}",
      journal = {\apj},
     keywords = {Radio telescopes, Galaxy counts, Star formation, 1360, 588, 1569, Astrophysics - Astrophysics of Galaxies},
         year = 2020,
        month = jan,
       volume = {888},
       number = {2},
          eid = {61},
        pages = {61},
          doi = {10.3847/1538-4357/ab5d2d},
archivePrefix = {arXiv},
       eprint = {1912.06212},
 primaryClass = {astro-ph.GA},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2020ApJ...888...61M},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{arras2020,
       author = {{Arras}, Philipp and {Perley}, Richard A. and {Bester}, Hertzog L. and
         {Leike}, Reimar and {Smirnov}, Oleg and {Westermann}, R{\"u}diger and
         {En{\ss}lin}, Torsten A.},
        title = "{Comparison of classical and Bayesian imaging in radio interferometry}",
      journal = {arXiv e-prints},
     keywords = {Astrophysics - Instrumentation and Methods for Astrophysics, Statistics - Applications},
         year = 2020,
        month = aug,
          eid = {arXiv:2008.11435},
        pages = {arXiv:2008.11435},
archivePrefix = {arXiv},
       eprint = {2008.11435},
 primaryClass = {astro-ph.IM},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2020arXiv200811435A},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{MAR,
       author = {{Seaman}, Shaun and {Galati}, John and {Jackson}, Dan and {Carlin}, John},
        title = "{What Is Meant by ``Missing at Random''?}",
      journal = {arXiv e-prints},
     keywords = {Statistics - Methodology},
         year = 2013,
        month = jun,
          eid = {arXiv:1306.2812},
        pages = {arXiv:1306.2812},
archivePrefix = {arXiv},
       eprint = {1306.2812},
 primaryClass = {stat.ME},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2013arXiv1306.2812S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{mertens,
       author = {{Mertens}, F.~G. and {Ghosh}, A. and {Koopmans}, L.~V.~E.},
        title = "{Statistical 21-cm signal separation via Gaussian Process Regression analysis}",
      journal = {\mnras},
     keywords = {methods: data analysis, methods: statistical, techniques: interferometric, dark ages, reionization, first stars, cosmology: observations, Astrophysics - Cosmology and Nongalactic Astrophysics},
         year = 2018,
        month = aug,
       volume = {478},
       number = {3},
        pages = {3640-3652},
          doi = {10.1093/mnras/sty1207},
archivePrefix = {arXiv},
       eprint = {1711.10834},
 primaryClass = {astro-ph.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2018MNRAS.478.3640M},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{Brandenburg_2014,
	doi = {10.1088/0004-637x/786/2/91},
	year = 2014,
	month = {apr},
	publisher = {American Astronomical Society},
	volume = {786},
	number = {2},
	pages = {91},
	author = {Axel Brandenburg and Rodion Stepanov},
	title = {{FARADAY} {SIGNATURE} {OF} {MAGNETIC} {HELICITY} {FROM} {REDUCED} {DEPOLARIZATION}},
	journal = {The Astrophysical Journal},
	abstract = {Using one-dimensional models, we show that a helical magnetic field with an appropriate sign of helicity can compensate the Faraday depolarization resulting from the superposition of Faraday-rotated polarization planes from a spatially extended source. For radio emission from a helical magnetic field, the polarization as a function of the square of the wavelength becomes asymmetric with respect to zero. Mathematically speaking, the resulting emission occurs then either at observable or at unobservable (imaginary) wavelengths. We demonstrate that rotation measure (RM) synthesis allows for the reconstruction of the underlying Faraday dispersion function in the former case, but not in the latter. The presence of positive magnetic helicity can thus be detected by observing positive RM in highly polarized regions in the sky and negative RM in weakly polarized regions. Conversely, negative magnetic helicity can be detected by observing negative RM in highly polarized regions and positive RM in weakly polarized regions. The simultaneous presence of two magnetic constituents with opposite signs of helicity is shown to possess signatures that can be quantified through polarization peaks at specific wavelengths and the gradient of the phase of the Faraday dispersion function. Similar polarization peaks can tentatively also be identified for the bi-helical magnetic fields that are generated self-consistently by a dynamo from helically forced turbulence, even though the magnetic energy spectrum is then continuous. Finally, we discuss the possibility of detecting magnetic fields with helical and non-helical properties in external galaxies using the Square Kilometre Array.}
}

@ARTICLE{pratley2020,
       author = {{Pratley}, Luke and {Johnston-Hollitt}, Melanie and {Gaensler}, Bryan M.},
        title = "{Removing non-physical structure in fitted Faraday rotated signals: non-parametric QU-fitting}",
      journal = {arXiv e-prints},
     keywords = {Astrophysics - Instrumentation and Methods for Astrophysics},
         year = 2020,
        month = oct,
          eid = {arXiv:2010.07932},
        pages = {arXiv:2010.07932},
archivePrefix = {arXiv},
       eprint = {2010.07932},
 primaryClass = {astro-ph.IM},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2020arXiv201007932P},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{JP2012,
       author = {{Macquart}, J. -P. and {Ekers}, R.~D. and {Feain}, I. and {Johnston-Hollitt}, M.},
        title = "{On the Reliability of Polarization Estimation Using Rotation Measure Synthesis}",
      journal = {\apj},
     keywords = {galaxies: individual: Centaurus A NGC 5128, techniques: polarimetric, Astrophysics - Instrumentation and Methods for Astrophysics},
         year = 2012,
        month = may,
       volume = {750},
       number = {2},
          eid = {139},
        pages = {139},
          doi = {10.1088/0004-637X/750/2/139},
archivePrefix = {arXiv},
       eprint = {1203.2706},
 primaryClass = {astro-ph.IM},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2012ApJ...750..139M},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{pratley2020a,
	doi = {10.3847/1538-4357/ab6e64},
	url = {https://doi.org/10.3847/1538-4357/ab6e64},
	year = 2020,
	month = {may},
	publisher = {American Astronomical Society},
	volume = {894},
	number = {1},
	pages = {38},
	author = {Luke Pratley and Melanie Johnston-Hollitt},
	title = {Wide-band Rotation Measure Synthesis},
	journal = {The Astrophysical Journal},
	abstract = {Rotation measure synthesis allows the estimation of Faraday dispersion via a Fourier transform and is the primary tool to probe cosmic magnetic fields. We show this can be considered mathematically equivalent to the one-dimensional (1D) interferometric intensity measurement equation, albeit in a different Fourier space. As a result, familiar concepts in 2D intensity interferometry designed to correctly account for a range of instrumental conditions can be translated to the analysis of Faraday dispersion. In particular, we show how to model the effect of channel averaging during Faraday reconstruction, which has to date limited the progress of polarimetric science using wide-band measurements. Further, we simulate 1D sparse reconstruction with channel averaging for realistic frequency coverages, and show that it is possible to recover signals with large rotation measure values that were previously excluded from possible detection. This is especially important for low-frequency and wide-band polarimetry. We extended these ideas to introduce mosaicking in Faraday depth into the channel-averaging process. This work thus provides the first framework for correctly undertaking wide-band rotation measure synthesis, including the provision to add data from multiple telescopes, a prospect that should vastly improve the quality and quantity of polarimetric science. This is of particular importance for extreme environments that generate high magnetic fields such as those associated with pulsars and fast radio bursts, and will allow such sources to be accurately used as probes of cosmological fields.}
}