Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables, 9781402009181
Hardcover
After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975).

Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

$320.60

  • Hardcover

    394 pages

  • Release Date

    31 October 2002

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Summary

This title presents a clear, systematic treatment of convergence theorems of set-valued random variables (random sets) and fuzzy set-valued random variables (random fuzzy sets). Topics such as strong laws of large numbers and central limit theorems, including results in connection with the theory of empirical processes, are covered. The author’s own recent developments on martingale convergence theorems and their applications to data processing are also included. The mathematical foundations …

Book Details

ISBN-13:9781402009181
ISBN-10:1402009186
Series:Theory and Decision Library B
Author:Shoumei Li, Y. Ogura, V. Kreinovich
Publisher:Kluwer Academic Publishers
Imprint:Kluwer Academic Publishers
Format:Hardcover
Number of Pages:394
Edition:2002nd
Release Date:31 October 2002
Weight:1.66kg
Dimensions:235mm x 155mm
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Critics Review

From the reviews:

“The book under review is devoted to set-valued and fuzzy set-valued random variables which are generalizations of ordinary random variables … . the book is a useful reference for mathematicians who are working on set-valued or fuzzy set-valued random variables and related topics. Here one can find in one place results that are scattered throughout the literature. All the theorems are proven and the historical comments give the reader a wider perspective.” (Osmo Kaleva, Mathematical Reviews, Issue 2005 b)

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