FINITE MARKOV PROCESSES AND THEIR APPLICATIONS (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: Marius Iosifescu

• Language: English

• Edition: Illustrated

• ISBN: 9780486458694

• Pages: 304

• Cover: Paperback

• Dimensions: 8.5 x 5.4 x 0.7 inches

About The Book
Finite Markov Chains and Processes by Marius Iosifescu provides a self-contained and comprehensive treatment of finite Markov chains and processes, covering both theoretical aspects and practical applications. The author, a prominent figure in the field, starts by revisiting essential elements of probability theory and linear algebra, laying the groundwork for readers who may need a refresher.

The text delves deeply into homogeneous finite Markov chains, providing a rich exploration of two key types: absorbing and ergodic chains. It covers the fundamental properties of homogeneous chains and explores their applications in real-world scenarios. The latter part of the book extends the discussion to infinite homogeneous Markov chains and introduces nonhomogeneous finite Markov chains, emphasizing their use in diverse fields like psychology and genetics.

Iosifescu’s approach also introduces continuous-time Markov processes, offering readers a foundational understanding of continuous parameter stochastic processes. Whether you are new to the topic or have prior knowledge of Markov chains, this book serves as both an insightful introduction and a valuable reference for further study.

This well-structured book is ideal for students in mathematics, statistics, and related fields, as well as professionals looking to deepen their knowledge of Markov chains and their applications in modeling complex systems.