Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables: Theory and Decision Library B, cartea 43
Autor Shoumei Li, Y. Ogura, V. Kreinovichen Limba Engleză Hardback – 31 oct 2002
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Specificații
ISBN-13: 9781402009181
ISBN-10: 1402009186
Pagini: 412
Ilustrații: XIII, 394 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.75 kg
Ediția:2002
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Theory and Decision Library B
Locul publicării:Dordrecht, Netherlands
ISBN-10: 1402009186
Pagini: 412
Ilustrații: XIII, 394 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.75 kg
Ediția:2002
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Theory and Decision Library B
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
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.
Recenzii
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 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)
"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 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)