Probability & Distributions / Theoretical Statistics (STAT4705)

Complete class notes for Virginia Tech's Statistics for Engineers STAT4705 or similar courses. Covers counting, probability, random variables and distributions (including common discrete and continuous such as geometric, hypergeometric, binomial, negative binomial, Poisson, normal, exponential, gamma). Additionally includes properties thereof including mean, variance, etc., and usage of their tables. Includes many worked-examples and explanations, in black and blue ink for clarity. NB...

Comprehensive guide to all things Probability including a summary of important formulas with examples! Probability theory, counting techniques, conditional probability; random variables, moments; moment generating functions; multivariate distributions; transformations of random variables. Probability theory, including set theoretic and combinatorial concepts; in-depth treatment of discrete random variables and distributions and continuous random variables; introduction to estimation and hypot...