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Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables (Paperback, Softcover reprint of hardcover 1st ed. 2002)
Loot Price: R2,912
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Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables (Paperback, Softcover reprint of hardcover 1st ed. 2002)
Series: Theory and Decision Library B, 43
Expected to ship within 10 - 15 working days
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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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