1st Edition

Stochastic Processes with R An Introduction

By Olga Korosteleva Copyright 2022
200 Pages 57 Color Illustrations
by Chapman & Hall

200 Pages 57 Color Illustrations
by Chapman & Hall

200 Pages 57 Color Illustrations
by Chapman & Hall

Stochastic Processes with R: An Introduction cuts through the heavy theory that is present in most courses on random processes and serves as practical guide to simulated trajectories and real-life applications for stochastic processes. The light yet detailed text provides a solid foundation that is an ideal companion for undergraduate statistics students looking to familiarize themselves with... Read more

Preface

Chapter 1 Stochastic Process. Discrete-time Markov Chain

Chapter 2 Random Walk

Chapter 3 Poisson Process

Chapter 4 Nonhomogeneous Poisson Process

Chapter 5 Compound Poisson Process

Chapter 6 Conditional Poisson Process

Chapter 7 Birth-and-Death Process

Chapter 8 Branching Process

Chapter 9 Brownian Motion

Recommended books

List of Notation

Index

Biography

Olga Korosteleva, PhD, is a professor of statistics in the Department of Mathematics and Statistics at California State University, Long Beach (CSULB). She earned her Bachelor’s degree in mathematics in 1996 from Wayne State University in Detroit, and her PhD in statistics from Purdue University in West Lafayette, Indiana, in 2002. Since then she has been teaching statistics and mathematics courses at CSULB.

"This book is useful for simulating Markov chains, Poisson processes, and Brownian motion. The book can be used as supplementary reading for a first course in stochastic processes at the undergraduate-graduate level."

- David J. Olive, Technometrics, November 2022.