Probability, Statistics and Stochastic Processes
by Cosma Rohilla Shalizi
Number of pages: 71
Contents: Probability (Probability Calculus, Random Variables, Discrete and Continuous Distributions); Statistics (The Care and Handling of Data, Sampling, Estimation, Hypothesis Testing); Stochastic Processes (Sequences of Random Variables, Markov Processes, Continuous-Time Stochastic Processes).
Download or read it online for free here:
by Marcus Kracht - UCLA
Contents: Basic Probability Theory (Conditional Probability, Random Variables, Limit Theorems); Elements of Statistics (Estimators, Tests, Distributions, Correlation and Covariance, Linear Regression, Markov Chains); Probabilistic Linguistics.
by Terence Tao
This is a textbook for a graduate course on random matrix theory, inspired by recent developments in the subject. This text focuses on foundational topics in random matrix theory upon which the most recent work has been based.
by Oscar Sheynin - arXiv.org
This book covers the history of probability up to Kolmogorov with essential additional coverage of statistics up to Fisher. The book covers an extremely wide field, and is targeted at the same readers as any other book on history of science.
by Wolfgang Härdle - Cambridge University Press
Nonparametric regression analysis has become central to economic theory. Hardle, by writing the first comprehensive and accessible book on the subject, contributed enormously to making nonparametric regression equally central to econometric practice.