[ar1_bayes] Removed PyMC dependency and style-sheet compliance

[HumphreyYang]

Key changes:

• Removed PyMC: Removed all PyMC imports, installations, and model implementations
• Updated variable naming: Used Greek letters (ρ, σ) instead of rho, sigma in NumPyro code
• Code cleanup:
  • Cleaned up NumPyro implementation while preserving discussions
  • Fixed minor typos ("kernal" → "kernel")

[github-actions]

🚀 Deployed on https://68be318f7e1db67778344a5a--nostalgic-wright-5fa355.netlify.app

[mmcky]

Thanks @HumphreyYang -- just one minor comment re: citation. Should I organise @thomassargent30 to review?

[Copilot]

Pull Request Overview

This PR removes PyMC as a dependency from the AR(1) Bayesian analysis lecture, simplifying the codebase to use only NumPyro for Bayesian inference. The changes modernize variable naming conventions and clean up the implementation.

Key changes:

• Removed all PyMC imports, installations, and model implementations
• Updated variable naming to use Greek letters (ρ, σ) instead of Latin equivalents
• Fixed minor typos and improved code consistency

[HumphreyYang]

Thanks @HumphreyYang -- just one minor comment re: citation. Should I organise @thomassargent30 to review?

Thanks Matt, I think it's fine. This is a minor change : )

[mmcky]

thanks @HumphreyYang are you happy for me to merge this?

[jstac]

@mmcky Where do I find the latest deployment?

I can see above "🚀 Deployed on https://68bb28185ee35015bb2cce79--nostalgic-wright-5fa355.netlify.app/"

I'm guessing this is out of date because it's not compliant with the syle manual (e.g., sentences running together instead of being followed by line breaks).

I find this PR a bit hard to jump into quickly because I'm unsure of the deployment and the title of the lecture is missing.

[HumphreyYang]

@mmcky Where do I find the latest deployment?

Many thanks @jstac, please see the latest deployment of the lecture Posterior Distributions for AR(1) Parameters:
https://68bd39bc9ca87aaef6818d45--nostalgic-wright-5fa355.netlify.app/ar1_bayes

We will include the lecture title and the latest deployment of the lecture next time we ping you for review.

Many thanks in advance!

(I pushed some more updates since I found some more paragraphs with multiple sentences)

[mmcky]

@HumphreyYang doing some testing of the style-guide compliance using copilot. We can incorporate the useful components from #593 once it is completed.

[mmcky]

@copilot I have attached our style-guide quantecon_review_instructions.md.

quantecon_review_instructions.md

Can you please review this lecture ar1_bayes and make sure it is style guide compliant.

Are you able to do a full review of this lecture and not just a review of the changes.

[mmcky]

@copilot I have attached our style-guide quantecon_review_instructions.md.

quantecon_review_instructions.md

Can you please review this lecture ar1_bayes and make sure it is style guide compliant.

Are you able to do a full review of this lecture and not just a review of the changes.

@HumphreyYang this sort of triggering doesn't work. I think it will only work when a PR is authored initially by copilot. I will do a full pass of this lecture on my local machine re: style compliance.

[HumphreyYang]

Many thanks @mmcky, this PR should be compliant since I have run the same instruction on my end, but please let me know if your run spots anything new!

[mmcky]

thanks @HumphreyYang -- you're right. I'll open an issue to figure out how we can improve the netlify deployment links. I find it interesting it doesn't post the latest one after each build.

[HumphreyYang]

thanks @HumphreyYang -- you're right. I'll open an issue to figure out how we can improve the netlify deployment links. I find it interesting it doesn't post the latest one after each build.

Many thanks @mmcky! It's interesting that it posts deployment this time : )

[mmcky]

@HumphreyYang it looks like netlify deployments disappear! Maybe that is part of the issue we are having.

[github-actions]

📖 Netlify Preview Ready!

Preview URL: https://pr-569--sunny-cactus-210e3e.netlify.app (7e829d7)

📚 Changed Lecture Pages: ar1_bayes