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Item Details
| Title:
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LIMIT THEOREMS AND APPLICATIONS OF SET-VALUED AND FUZZY SET-VALUED RANDOM VARIABLES
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| By: |
Shoumei Li, Yukio Ogura, Vladik Kreinovich |
| Format: |
Hardback |
| List price:
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£99.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1402009186 |
| ISBN 13: |
9781402009181 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Edition: |
2002 ed. |
| Series: |
Theory and Decision Library B 43 |
| Pages: |
394 |
| Description: |
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. |
| Synopsis: |
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. |
| Illustrations: |
XIII, 394 p. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
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