[ENH] Replace prts metrics (aeon-toolkit#2400)

* Pre-commit fixes

* Position parameter in calculate_bias

* Added recall metric

* merged into into one file

* test added

* Changes in test and range_metrics

* list of list running but error!

* flattening lists, all cases passed

* Empty-Commit

* changes

* Protected functions

* Changes in documentation

* Changed test cases into seperate functions

* test cases added and added range recall

* udf_gamma removed from precision

* changes

* more changes

* recommended changes

* changes

* Added Parameters

* removed udf_gamma from precision

* Added binary to range

* error fixing

* test comparing prts and range_metrics

* Beta parameter added in fscore

* Added udf_gamma function

* f-score failing when comparing against prts

* fixed f-score output

* alpha usage

* Empty-Commit

* added test case to use range-based input for metrics

* soft dependency added

* doc update

---------

Co-authored-by: Matthew Middlehurst <pfm15hbu@gmail.com>
Co-authored-by: Sebastian Schmidl <10573700+SebastianSchmidl@users.noreply.github.com>

Author: 3 people

aeon/benchmarking/metrics/anomaly_detection/__init__.py

@@ -14,6 +14,9 @@
     "range_pr_auc_score",
     "range_pr_vus_score",
     "range_roc_vus_score",
+    "ts_precision",
+    "ts_recall",
+    "ts_fscore",
 ]
 
 from aeon.benchmarking.metrics.anomaly_detection._binary import (
@@ -35,3 +38,8 @@
     range_roc_auc_score,
     range_roc_vus_score,
 )
+from aeon.benchmarking.metrics.anomaly_detection.range_metrics import (
+    ts_fscore,
+    ts_precision,
+    ts_recall,
+)