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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

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

Shoumei Li
Ogura, Y.
Kreinovich, V.

Hardcover

Series: Theory and Decision Library B, Book 43

FictionMedical ReferenceProbability & Statistics

ISBN10: 1402009186
ISBN13: 9781402009181
Publisher: Springer Nature
Published: Oct 31 2002
Pages: 394
Weight: 1.66
Height: 1.08 Width: 6.56 Depth: 9.66
Language: English
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 of the development in this area in the past more than 30 years, the theory of set-valued random variables with many applications has become one of new and active branches in probability theory. In practice also, we are often faced with random experiments whose outcomes are not numbers but are expressed in inexact linguistic terms.

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