Probability theory, mathematical statistics and elements of the theory of possibilities for physicists

The book consists of three parts. The first part presents all sections of probability theory for physics and mathematics specialties. The limit theorems of probability theory and the theory of random processes, which is important for physical applications, are considered in more detail.

The second part presents the main sections of mathematical statistics and considers its applications in the theory of measuring and computing converters as means of physical measurements and in the theory of statistical solutions.

In the third part, the elements of the theory of possibilities are considered as an alternative probability theory of the randomness model, which allows empirically reconstructing mathematical models of objects, including stochastic ones, whose probabilistic models cannot be constructed empirically. Applications of the theory of possibilities in problems of optimization of solutions, analysis and interpretation of measurement experiment, etc. are considered.

The book is aimed at students of physics and mathematics departments of universities.