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Understanding Markov chains: examples and applications / by Nicolas Privault.

By: Material type: TextTextSeries: Springer Undergraduate Mathematics SeriesPublication details: Singapore : Springer, 2018.Edition: 2nd edDescription: xvii, 372 p, 24 cmISBN:
  • 9789811306587 (pbk.)
Subject(s): Additional physical formats: Print version:: Understanding Markov chains.; Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 519.2 PRI
Summary: 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.
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Item type Current library Collection Call number Status Date due Barcode
Books Books H.T. Parekh Library SIAS Collection 519.2 PRI (Browse shelf(Opens below)) Available K3539

Euro 34.99
AT/3010236/186

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.

Description based on publisher-supplied MARC data.

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