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Products Of Random Variables: Applications To Problems Of Physics and To Arithmetical Functions - Couverture rigide

Galambos, Janos; Simonelli, Italo

 
9780824754020: Products Of Random Variables: Applications To Problems Of Physics and To Arithmetical Functions
Couverture rigide
ISBN 10 : 0824754026 ISBN 13 : 9780824754020
Editeur : CRC Press Inc, 2004

Synopsis

Products of Random Variables explores the theory of products of random variables through from distributions and limit theorems, to characterizations, to applications in physics, order statistics, and number theory. It uses entirely probabilistic arguments in actualizing the potential of the asymptotic theory of products of independent random variables and obtaining results with dependent variables using a new Bonferroni-type argument.

Systematically and comprehensively tracks the progression of research completed in the area over the last twenty years.

Well-indexed and well-referenced, Products of Random Variables

  • Clarifies foundational concepts such as symmetric and limiting distributions of products
  • Examines various limit theorems, from logarithmically Poisson distributions to triangular arrays
  • Explores characterization theorems, detailing normal, Cauchy, and bivariate distributions
  • Describes models of interactive particles
  • Elucidates dual systems of interactive particles, dual systems of increasing size, and random walks
  • Covers the Kubilius-Turán inequality and distributions for multiplicative functions
  • Probes sequences of prime divisors and prime numbers
  • Discusses Markov chains, Hilbert spaces, and quotients of random variables
  • Presents income growth models and numerous other applied models tapping products of random variables

    Authored by eminent scholars in the field, this volume is an important research reference for applied mathematicians, statisticians, physicists, and graduate students in these disciplines.

    • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l'auteur

    Italo Simonelli, Janos Galambos

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    Éditeur
    CRC Press Inc
    Date d'édition
    2004
    Langue
    anglais
    ISBN 10 
    0824754026
    ISBN 13 
    9780824754020
    Reliure
    Relié
    Nombre de pages
    323
    Coordonnées du fabricant
    non disponible
    Personne responsable
    non disponible