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

— —

Shoumei Li Y. Ogura

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

Shoumei Li, Y. Ogura, V. Kreinovich

$251.95 $201.58

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Kluwer Academic Publishers
31 October 2002

Set theory; Fuzzy set theory

Series: Theory and Decision Library B

This title 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 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""olmander'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.

By: Shoumei Li, Y. Ogura, V. Kreinovich
Imprint: Kluwer Academic Publishers
Country of Publication: United States [Currently unable to ship to USA: see Shipping Info]
Edition: 2002 ed.
Volume: 43
Dimensions: Height: 235mm, Width: 155mm, Spine: 23mm
Weight: 1.660kg
ISBN: 9781402009181
ISBN 10: 1402009186
Series: Theory and Decision Library B
Pages: 394
Publication Date: 31 October 2002
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

I Limit Theorems of Set-Valued and Fuzzy Set-Valued Random Variables.- 1. The Space of Set-Valued Random Variables.- 2. The Aumann Integral and the Conditional Expectation of a Set-Valued Random Variable.- 3. Strong Laws of Large Numbers and Central Limit Theorems for Set-Valued Random Variables.- 4. Convergence Theorems for Set-Valued Martingales.- 5. Fuzzy Set-Valued Random Variables.- 6. Convergence Theorems for Fuzzy Set-Valued Random Variables.- 7. Convergences in the Graphical Sense for Fuzzy Set-Valued Random Variables.- II Practical Applications of Set-Valued Random Variables.- 8. Mathematical Foundations for the Applications of Set-Valued Random Variables.- 9. Applications to Imaging.- 10. Applications to Data Processing.

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

From the reviews: <p> The book under review is devoted to set-valued and fuzzy set-valued random variables which are generalizations of ordinary random variables a ] . 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 are scattered throughout the literature. All the theorems are proven and the historical comments give the reader a wider perspective. (Osmo Kaleva, Mathematical Reviews, Issue 2005 b)