Understanding Markov Chains

Examples and Applications

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book Understanding Markov Chains by Nicolas Privault, Springer Singapore
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nicolas Privault ISBN: 9789814451512
Publisher: Springer Singapore Publication: August 13, 2013
Imprint: Springer Language: English
Author: Nicolas Privault
ISBN: 9789814451512
Publisher: Springer Singapore
Publication: August 13, 2013
Imprint: Springer
Language: English

This book provides an undergraduate introduction to discrete and continuous-time Markov chains and their applications. A large focus is placed on the first step analysis technique and its applications to average hitting times and ruin probabilities. Classical topics such as recurrence and transience, stationary and limiting distributions, as well as branching processes, are also covered. Two major examples (gambling processes and random walks) are treated in detail from the beginning, before the general theory itself is presented in the subsequent chapters. 

An introduction to discrete-time martingales and their relation to ruin probabilities and mean exit times is also provided, and the book includes a chapter on spatial Poisson processes with some recent results on moment identities and deviation inequalities for Poisson stochastic integrals. The concepts presented are illustrated by examples and by 72 exercises and their complete solutions.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book provides an undergraduate introduction to discrete and continuous-time Markov chains and their applications. A large focus is placed on the first step analysis technique and its applications to average hitting times and ruin probabilities. Classical topics such as recurrence and transience, stationary and limiting distributions, as well as branching processes, are also covered. Two major examples (gambling processes and random walks) are treated in detail from the beginning, before the general theory itself is presented in the subsequent chapters. 

An introduction to discrete-time martingales and their relation to ruin probabilities and mean exit times is also provided, and the book includes a chapter on spatial Poisson processes with some recent results on moment identities and deviation inequalities for Poisson stochastic integrals. The concepts presented are illustrated by examples and by 72 exercises and their complete solutions.

More books from Springer Singapore

Cover of the book Teacher Education In and For Uncertain Times by Nicolas Privault
Cover of the book Design Aids of Offshore Structures Under Special Environmental Loads including Fire Resistance by Nicolas Privault
Cover of the book Reaction Pathways and Mechanisms in Thermocatalytic Biomass Conversion I by Nicolas Privault
Cover of the book Recent Trends in Signal and Image Processing by Nicolas Privault
Cover of the book Multi-photon Quantum Secure Communication by Nicolas Privault
Cover of the book Improving Quality of Care in Family Planning by Nicolas Privault
Cover of the book Management Game Theory by Nicolas Privault
Cover of the book Competitive Advantage of Customer Centricity by Nicolas Privault
Cover of the book Issues in Law and Public Policy on Contract Labour in India by Nicolas Privault
Cover of the book Sustainable Operations in India by Nicolas Privault
Cover of the book Narratives of Learning Through International Professional Experience by Nicolas Privault
Cover of the book The Idea of Governance and the Spirit of Chinese Neoliberalism by Nicolas Privault
Cover of the book Advanced Trauma and Surgery by Nicolas Privault
Cover of the book Annual Report on the Development of China's Special Economic Zones (2016) by Nicolas Privault
Cover of the book Sociological Perspectives on Media Piracy in the Philippines and Vietnam by Nicolas Privault
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy