#probability
62. Statistics
This volume studies statistical inference, estimation, and data analysis. It builds on probability theory to develop methods for learning from data. Part I. Foundations Chapter 1. Statistical Models 1.1 Data and randomness 1.2 Parametric models 1.3 Nonparametric models 1.4 Likelihood functions 1.5 Examples Chapter 2. Descriptive Statistics 2.1 Measures of location 2.2 Measures of spread 2.3 Data visualization 2.4 Summarization techniques 2.5 Examples Chapter 3. Sampling and Data 3.1 Sampling...
60. Probability Theory and Stochastic Processes
This volume develops probability theory on measure-theoretic foundations and studies stochastic processes. It emphasizes rigor, structure, and applications. Part I. Foundations of Probability Chapter 1. Probability Spaces 1.1 Sigma-algebras and events 1.2 Probability measures 1.3 Examples 1.4 Basic properties 1.5 Interpretations Chapter 2. Random Variables 2.1 Definitions 2.2 Distributions 2.3 Expectation 2.4 Variance 2.5 Examples Chapter 3. Independence 3.1 Independent events 3.2 Independent random variables 3.3 Conditional probability 3.4 Conditional...