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Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables
Li, Shoumei; Ogura, Yukio; Kreinovich, Vladik
€ 129.60
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Description for Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables
hardcover. Presents a systematic treatment of convergence theorems of set-valued random variables and fuzzy set-valued random variables. This book includes the author's developments on martingale convergence theorems and their applications to data processing. Series: Theory and Decision Library B. Num Pages: 394 pages, biography. BIC Classification: PBCH; PBWX. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 23. Weight in Grams: 752.
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). It is well known that the theory of set-valued random variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure of the space of closed sets and special features of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many special properties. This gives new meanings for the classical probability theory. As a result ... Read more
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). It is well known that the theory of set-valued random variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure of the space of closed sets and special features of set-theoretic operations ( cf. Beer [27]), set-valued random variables have many special properties. This gives new meanings for the classical probability theory. As a result ... Read more
Product Details
Format
Hardback
Publication date
2002
Publisher
Kluwer Boston Incorporated United States
Number of pages
394
Condition
New
Series
Theory and Decision Library B
Number of Pages
394
Place of Publication
New York, NY, United States
ISBN
9781402009181
SKU
V9781402009181
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables
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 ... Read more