ABSTRACT

Suitable for a one-semester course, this text teaches students how to use stochastic processes efficiently. Carefully balancing mathematical rigor and ease of exposition, the book provides students with a sufficient understanding of the theory and a practical appreciation of how it is used in real-life situations. Special emphasis is on the interpretation of various statistical models and concepts as well as the types of questions statistical analysis can answer. To enable hands-on practice, MATLAB code is available online.

chapter 1|18 pages

Stochastic processes

chapter 2|44 pages

Stationary processes

chapter 3|18 pages

The Poisson process and its relatives

chapter 4|30 pages

Spectral representations

chapter 5|22 pages

Gaussian processes

chapter 6|32 pages

Linear filters – general theory

chapter 7|32 pages

AR-, MA-, and ARMA-models

chapter 8|40 pages

Linear filters – applications

chapter 9|24 pages

Frequency analysis and spectral estimation