Implementation of random variables with PyTorch backend

[twaclaw]

Description

Related Issue

• [ ] Closes #
• [ ] Related to #

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

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

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📚 Documentation preview 📚: https://pytensor--1075.org.readthedocs.build/en/1075/

[codecov[bot]]

Codecov Report

Attention: Patch coverage is 82.45614% with 10 lines in your changes missing coverage. Please review.

Project coverage is 82.11%. Comparing base (07bd48d) to head (6176479). Report is 2 commits behind head on main.

Files with missing lines	Patch %	Lines
pytensor/link/pytorch/dispatch/random.py	82.60%	8 Missing :warning:
pytensor/link/pytorch/dispatch/basic.py	50.00%	1 Missing and 1 partial :warning:

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #1075   +/-   ##
=======================================
  Coverage   82.10%   82.11%           
=======================================
  Files         185      186    +1     
  Lines       48089    48184   +95     
  Branches     8659     8673   +14     
=======================================
+ Hits        39485    39564   +79     
- Misses       6439     6452   +13     
- Partials     2165     2168    +3     

Files with missing lines	Coverage Δ
pytensor/link/pytorch/dispatch/__init__.py	100.00% <100.00%> (ø)
pytensor/link/pytorch/linker.py	100.00% <100.00%> (ø)
pytensor/link/pytorch/dispatch/basic.py	93.69% <50.00%> (-0.81%)	:arrow_down:
pytensor/link/pytorch/dispatch/random.py	82.60% <82.60%> (ø)

... and 3 files with indirect coverage changes

[ricardoV94]

Looking nearly ready!