Understanding Markov Chains

Examples and Applications

Authors: Privault, Nicolas

Free Preview

Easily accessible to both mathematics and non-mathematics majors who are taking an introductory course on Stochastic Processes
Filled with numerous exercises to test students' understanding of key concepts
A gentle introduction to help students ease into later chapters, also suitable for self-study
Accompanied with computer simulation codes in R and Python

see more benefits

Buy this book

eBook 29,74 €

price for Spain (gross)

Buy eBook

ISBN 978-981-13-0659-4
Digitally watermarked, DRM-free
Included format: PDF, EPUB
ebooks can be used on all reading devices
Immediate eBook download after purchase

Softcover 36,39 €

price for Spain (gross)

Buy Softcover

ISBN 978-981-13-0658-7
Free shipping for individuals worldwide
Usually dispatched within 3 to 5 business days.
The final prices may differ from the prices shown due to specifics of VAT rules

About this Textbook: This book provides an undergraduate-level introduction to discrete and continuous-time Markov chains and their applications, with a particular focus on the first step analysis technique and its applications to average hitting times and ruin probabilities. It also discusses classical topics such as recurrence and transience, stationary and limiting distributions, as well as branching processes. It first examines in detail two important examples (gambling processes and random walks) before presenting the general theory itself in the subsequent chapters. It also provides an introduction to discrete-time martingales and their relation to ruin probabilities and mean exit times, together with a chapter on spatial Poisson processes. The concepts presented are illustrated by examples, 138 exercises and 9 problems with their solutions.

Show all
About the authors: The author is an associate professor from the Nanyang Technological University (NTU) and is well-established in the field of stochastic processes and a highly respected probabilist. He has authored the book, Stochastic Analysis in Discrete and Continuous Settings: With Normal Martingales, Lecture Notes in Mathematics, Springer, 2009 and was a co-editor for the book, Stochastic Analysis with Financial Applications, Progress in Probability, Vol. 65, Springer Basel, 2011. Aside from these two Springer titles, he has authored several others. He is currently teaching the course M27004-Probability Theory and Stochastic Processes at NTU. The manuscript has been developed over the years from his courses on Stochastic Processes.

Show all