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Products of Random Variables

Janos Galambos | Italo Simonelli
€353.40
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A01=Italo Simonelli
A01=Janos Galambos
advanced probability research methods
Arbitrary Finite Subset
Arbitrary Random Variables
Arithmetical Function
Asymptotic Independence
Author_Italo Simonelli
Author_Janos Galambos
Beta Random Variables
Category=PBWL
Cauchy Distribution Function
Cellular Automata
Characteristic Function
Common Continuous Distribution Function
Distribution Function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Feller Process
Feller Semigroup
Independent Beta Random Variables
Independent Random Variables
interactive particle systems
Inverse Mellin Transform
Ips
Irreducible Markov Chain
limit theorems
Limiting Distribution Function
Mellin Transforms
Nonnegative Random Variable
number theory applications
Percolation Structure
Prime Divisors
probability theory
Random Variables
statistical modeling
stochastic processes
Triangular Array
Weak Convergence

Product details

  • ISBN 9780824754020
  • Weight: 790g
  • Dimensions: 152 x 229mm
  • Publication Date: 20 Jul 2004
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Description

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.

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    About Italo Simonelli | Janos Galambos
    Italo Simonelli, Janos Galambos

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