ENGLISH

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

By Shoumei Li

Book information

ISBN
1402009186
LCC
QA273.67 .L5 2002
Open Library ID
OL19288664M
Language
english
Format
EPUB
Filesize
17 MB (18253150 bytes)
Edition
1
Pages
\0
Time added
2012-02-04 16:00:00

Description

This book 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 new 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 along with a clear explanation such as H?lmander's embedding theorem, notions of various convergence of sets and fuzzy sets, Aumann integrals, conditional expectations, selection theorems, measurability and integrability arguments for both set-valued and fuzzy set-valued random variables and newly obtained optimizations techniques based on invariant properties are also given.

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