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

"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 ...

Abstract: In this chapter, some major probability applications in engineering, such as systems reliability, medical diagnostic testing, and Bayesian spam filtering, as well as some interesting ...

Gaussian processes offer a versatile framework to model and analyse continuous random phenomena, making them particularly useful in quantifying the probability of ruin in financial and insurance ...

ABSTRACT: The hazard produced by natural phenomena on infrastructure and urban populations has been widely studied in the last 50 years. Researchers have recognised that the real danger posed by these ...

Abstract: In this chapter, we introduce the concept of a random variable and develop the procedures for characterizing random variables, including the cumulative distribution function, as well as the ...

The Centre for Probability, Statistics and Data Science covers three broadly overlapping main areas of research: probability, statistics and data science. Probability theory is a core topic within ...