A repository of programs and notebooks of critical statistical concepts to serve as a source of reference in the development and application of statistical methods to scientific questions, relevant to my current research in computational biology.
- Inductive proof for Boole's inequality
- Bias-variance tradeoff
- Simulations to demonstrate Lindley's paradox, contrasting Bayesian and Frequentist schools
- Brownian motion simulations
- Expectation-Maximization (EM) algorithm implementation to resolve mixtures of distributions
- Gradient descent to find the minimum of a multivariate function
- Proof of Markov's and Chebyshev's inequalities
- Gaussian mixture models (GMMs) and k-means clusering to resolve mixtures of simulated distributions
- Monte carlo method for estimating
$\pi$ - Probability integral transform demonstration
- Implementing Naive Bayes classifier from scratch
- Implementing a Decision Tree classifier from scratch