Remove deprecated Distribution kwargs

[thomasaarholt]

Description

Removing these to reduce cognitive load for an eventual migration to a function-based distribution.

These were deprecated in #4500 and #5109, in 2021, as part of pymc 4 being released. We're on 5.x so these should be safe to remove now.

I found about six more deprecated instances of code that were deprecated before the 5.0 release. I don't want to overload maintainers with more work, so will only make a PR with those if it is desired.

Related Issue

• Closes #
• Related to Add distribution parameters as named positional arguments #6083

Checklist

• Checked that the pre-commit linting/style checks pass
• Included tests that prove the fix is effective or that the new feature works
• Added necessary documentation (docstrings and/or example notebooks)
• If you are a pro: each commit corresponds to a relevant logical change

Type of change

• New feature / enhancement
• Bug fix
• Documentation
• Maintenance
• Other (please specify):

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📚 Documentation preview 📚: https://pymc--7488.org.readthedocs.build/en/7488/

[ricardoV94]

One test is failing

[thomasaarholt]

Thanks, missed that one, will add this afternoon.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 92.16%. Comparing base (253513b) to head (e599d0f).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #7488      +/-   ##
==========================================
+ Coverage   91.04%   92.16%   +1.12%     
==========================================
  Files         103      103              
  Lines       17221    17200      -21     
==========================================
+ Hits        15679    15853     +174     
+ Misses       1542     1347     -195     

Files with missing lines	Coverage Δ
pymc/distributions/distribution.py	91.89% <ø> (+0.33%)	⬆️

... and 4 files with indirect coverage changes

[ricardoV94]

Thanks @thomasaarholt