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Ran 17 Feb 2025 07:36PM UTC

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Committed 17 Feb 2025 07:25PM UTC coverage: 82.454% (+0.01%) from 82.442%

Job # 13377332321.7

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Commit Message

Add xclim.indices.stats.fit method: MSE (maximum product of spacings) (#2077)

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### Pull Request Checklist:
- [x] This PR addresses an already opened issue (for bug fixes /
features)
    - This PR fixes #2078 
- [ ] Tests for the changes have been added (for bug fixes / features)
- [ ] (If applicable) Documentation has been added / updated (for bug
fixes / features)
- [x] CHANGELOG.rst has been updated (with summary of main changes)
- [x] Link to issue (:issue:`number`) and pull request (:pull:`number`)
has been added

### What kind of change does this PR introduce?

* Adds a fit method: MSE, using
[scipy.stats.fit](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.fit.html#ra4db2bb0bf1d-1).
Note that this is not available in the `dist` object.

### Does this PR introduce a breaking change?
- No.

### Other information:
- [Maximum spacing
estimation](https://en.wikipedia.org/wiki/Maximum_spacing_estimation#Sensitivity)
- A comparative analysis of L-moments, maximum likelihood, and maximum
product of spacing methods for the four-parameter kappa distribution in
extreme value analysis:
https://www.nature.com/articles/s41598-024-84056-1

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