Final Assignment 0HV130 - Exploratory Data Analysis Dashboard

Boxplot of penguin species body mass URL: https://allisonhorst.github.io/palmerpenguins/

An end-to-end analysis of continuous-time Markov chain (CTMC) convergence using uniformization. Covers generator matrix construction, Doeblin minorization, TV-distance mixing times across multiple initial distributions, expected reward convergence, and spectral gap analysis. Includes a structural comparison between dense and sparse transition matrices, with theoretical proofs for shared stationary distributions and Dobrushin's ergodicity theorem.

A regression analysis project modeling diamond prices using a 1,000-observation sample from a 54,000-record dataset. Covers simple and multiple linear regression, formal assumption diagnostics (linearity, constant variance, normality), log-transformation of the response variable, and model selection using adjusted R² and VIF. Includes confidence and prediction intervals for applied price forecasting.