Book 1

Foundations of Probability Theory

[114/83%]

M. E. Zhukovskiy, I. V. Rodionov, D. A. Shabanov

Chapter 1.1Systems of Sets. Probability Space[9/78%]

Chapter 1.2Classical and Geometric Probabilities[9/67%]

Chapter 1.3Conditional Probability[7/57%]

Chapter 1.4The Concept of Independence. The Bernoulli Scheme[7/29%]

Chapter 1.5Probability Distributions[10/100%]

Chapter 1.6Random Variables[10/90%]

Chapter 1.7Independence, the Convolution Formula[12/83%]

Chapter 1.8Expectation in the Simplest Cases[8/100%]

Chapter 1.9Expectation (Other Cases), Covariance[8/88%]

Chapter 1.10Types of Convergence of Random Variables[7/100%]

Chapter 1.11Random Walk. The Borel–Cantelli Lemma[10/90%]

Chapter 1.12Characteristic Functions[10/100%]

Chapter 1.13Gaussian Vectors, the Central Limit Theorem[7/86%]