CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...

"Introduction to Probability" by Joe Blitzstein and Jessica Hwang - Stat110 course book; An introductory textbook that covers a wide range of probability concepts. "A FIRST COURSE IN PROBABILITY" by ...

CATALOG DESCRIPTION: Advanced topics in random processes: point processes, Wiener processes; Markov processes, spectral representation, series expansion of random processes, linear filtering, Wiener ...

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, "Probability is the most important concept in modern science, especially as nobody has the ...

Ivan Bajic (ibajic at ensc.sfu.ca) Office hours: Monday and Wednesday, 13:00-14:00 online (Zoom, see the link in course materials) Introduction to the theories of probability and random variables, and ...

Abstract: In many practical applications, it is necessary to deal with unpredictable functions of time, hence the importance of random processes. In this chapter, we first discuss the classification ...

Abstract: Using stochastic differential equations to describe non-Gaussian signals and noise makes it unnecessary to determine multidimensional probability density function (PDF) of random processes.

Statistics is the science of analyzing data; the use of statistics is ubiquitous in science, engineering, medicine and epidemiology, marketing, and many other application areas. Probability theory ...

Research of the probability and statistics group includes particle systems, theoretical statistics, non-conventional random walks, random matrix theory, and random polynomials. Research interests also ...