Infinite divisibility of probability distributions on the real line

Author(s)

    • Steutel, Fred W.
    • Harn, Klaas van

Bibliographic Information

Infinite divisibility of probability distributions on the real line

Fred W. Steutel, Klaas van Harn

(Monographs and textbooks in pure and applied mathematics, 259)

Marcel Dekker, c2004

Available at  / 37 libraries

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

Infinite Divisibility of Probability Distributions on the Real Line reassesses classical theory and presents new developments, while focusing on divisibility with respect to convolution or addition of independent random variables. This definitive, example-rich text supplies approximately 100 examples to correspond with all major chapter topics and reviews infinite divisibility in light of the central limit problem. It contrasts infinite divisibility with finite divisibility, discusses the preservation of infinite divisibility under mixing for many classes of distributions, and investigates self-decomposability and stability on the nonnegative reals, nonnegative integers, and the reals.

Table of Contents

  • Infinitely divisible distributions on the nonnegative integers
  • infinitely divisible distributions on the nonnegative reals
  • infinitely divisible distributions on the real line
  • self-decomposability and stability
  • infinite divisibility and mixtures
  • infinite divisibility in stochastic processes. Appendices: prerequisites from probability and analysis
  • list of well-known distributions
  • notations and conventions.

by "Nielsen BookData"

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Details

  • NCID
    BA64393472
  • ISBN
    • 0824707249
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    x, 546 p.
  • Size
    24 cm
  • Parent Bibliography ID
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