rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Understanding Markov chains
    sub title: examples and applications
  name:
    name part: Privault, Nicolas
    role:
      role term: creator
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: si
    date issued: 2026
    edition: Third edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xix, 366 pages) : illustrations.
  abstract: 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 the computation of 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 starts by examining in detail two important examples (gambling processes and random walks) before presenting the general theory 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, 150 exercises and 22 problems with their solutions. This book is a revised and expanded version of the previous edition, and includes additional exercises and problems with complete solutions. As in the previous book, all exercises and problems are solved in detail, with many graphs and explanatory figures.
  table of contents: Probability Background -- Gambling Problems -- Random Walks -- Discrete-Time Markov Chains -- First Step Analysis -- Classification of States -- Long-Run Behavior of Markov Chains -- Branching Processes -- Continuous-Time Markov Chains -- Discrete-Time Martingales -- Spatial Poisson Processes -- Reliability Theory.
  note: Nicolas Privault.
  note: Includes bibliographical references and indexes.
  subject:
    topic: Markov processes
  subject:
    topic: Distribution (Probability theory)
  subject:
    topic: Markov Chains
  subject:
    topic: Processus de Markov
  subject:
    topic: Distribution (Théorie des probabilités)
  subject:
    topic: distribution (statistics-related concept)
  subject:
    topic: Procesos de Markov
  subject:
    topic: Markov processes
  classification: QA274.7 .P75 2026
  classification: 519.2/33
  related item:
    title info:
      title: Understanding Markov chains
    name:
      name part: Privault, Nicolas
    origin info:
      publisher: Singapore : Springer, [2026]
      edition: Third edition
    identifier: (OCoLC)1577288252
  related item:
    title info:
      title: Springer undergraduate mathematics series
  identifier: 9789819540570 (electronic bk.)
  identifier: 9819540577
  identifier: 9789819540563
  location:
    physical location: POD
  record info:
    record content source: GW5XE
    record creation date: 260608
    record change date: 20260801173427.1
    record identifier: in00005789485
    language of cataloging:
      language term: eng