Maximum pseudo-likelihood estimation for superpositions of Strauss-hard core and Poisson processes

This project includes an R package containing an algorithm to compute an maximum pseudo-likelihood estimator for the superposition of a Strauss process (possibly with hard core) and a Poisson process.

This repository is supplementary to Wieditz, J. (2021+). Characteristic and necessary minutiae in fingerprints. Dissertation.

The SuperMPLE package

To use the SuperMPLE R-package follow the steps below:

1. Install the R-package SuperMPLE via

   library(remotes)

   install_github('jwieditz/SuperMPLE/SuperMPLE').

2. Load the library via library(SuperMPLE).

3. To compute an MPLE in an example for the superposition of two homogeneous processes , run example(SuperMPLE).

4. Moreover, the documentation of the SuperMPLE function contains an example for the superposition of an inhomogeneous Strauss- hard core process and a homogeneous Poisson process from applications in fingerprint recognition.

Example

One sampled point pattern of the superposition of a Strauss process and a Poisson(12) process on the unit square.	The log pseudo-likelihood on a discrete grid of size 20x20x20 and one computed MPLE . The optimisation was started in the point .

Licence

This package is released under the GPL3.0 licence.