Random Walk and Diffusion: Basics and Applications

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Random Walk and Diffusion

Explores binomial distribution, random walk, and diffusion concepts in a continuous context.

Binary Covariate Impact: 2x2 Contingency Tables

Explores the impact of a binary covariate on binary responses using 2x2 tables.

Stochastic Models for Communications

Covers stochastic models for communications, focusing on random variables, Markov chains, Poisson processes, and probability calculations.

Statistical Models: Basics & Applications

Covers statistical concepts like probability, estimation, hypothesis testing, and confidence intervals for mathematicians.

Common Distributions: Moment Generating Functions

Explores common probability distributions, special distributions, and entropy concepts.

Bayes' Theorem: Defective Parts Detection

Explores Bayes' Theorem for defective parts detection, discrete random variables, and distribution functions, with practical examples and exercises.

Common Distributions: Moments and MGFs

Covers common distributions, moment generating functions, and covariance matrices in statistics for data science.

Discrete Random Variables: Functions and Distributions

Introduces probability mass functions for discrete random variables and various distributions, emphasizing the calculation of expectations.

Probability and Statistics: Discrete Random Variables

Explores discrete random variables, mass functions, and distribution functions in probability and statistics.

Stochastic Models for Communications

Explores stochastic models for communications, covering mean, variance, characteristic functions, inequalities, various discrete and continuous random variables, and properties of different distributions.