A short course of probability theory and mathematical statistics. Textbook for SPO

The book contains a systematic presentation of the basics of probability theory and mathematical statistics. The first part sets out the following sections of probability theory: the basic concepts, Bernoulli scheme, random values ​​and their distribution, numerical characteristics of random quantities, limit theorems, including the law of large numbers, the central maximum theorem and Poisson theorem. The second part covers the main sections of mathematical statistics: selective distributions and their characteristics, point and interval assessment of distribution parameters, methods for constructing parameter assessments, general concepts of the theory of hypotheses and various criteria for checking hypotheses of consent, independence and homogeneity, rank statistics and criteria, evaluating parameters and checking the hypotheses on the parameters of linear statistical models. This is at least those information that give a general idea of ​​these items at the first acquaintance.
The book is designed for students of loans studying in specialties requiring knowledge of the basics of probability theory and mathematical statistics