# Exercises in Mathematical Statistics

### 8/11/2024

### Eli Gacasan

As I am on the verge of entering graduate school. I find it would be useful to review what I have since long refused to review - problems in probability. I admit, I find myself not needing to do this for my sake, because if ever I encountered a problem in which I needed to review probability, it would only be a few minutes of looking online for a simple reminder.

The students I am teaching however, I imagine, deserve someone who is sharp in teaching statistics and probability, and can provide answers quite immediately. This document is intended to be a review, of certain topics I would include during my teaching experience this semester, Fall 2024. This covers roughly one-semester of a undergraduate introduction to distribution theory.

If I had chosen something to teach, it would probably be linear modelling using MCMC (Markov Chain Monte Carlo) methods and ML (Maximum Likelihood) estimation. Or a course that delved into the practice of statistics with case studies, with no theory, rather practical insights about the limitations of statistics.

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