Umfang:
Online-Ressource (XIII, 394 p)
,
digital
Ausgabe:
Springer eBook Collection. Business and Economics
ISBN:
9789401599320
Serie:
Theory and Decision Library, Series B: Mathematical and Statistical Methods 43
Inhalt:
This book 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 new 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 Hölmander'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
Weitere Ausg.:
ISBN 9789048161393
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9789048161393
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9781402009181
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9789401599337
Sprache:
Englisch
DOI:
10.1007/978-94-015-9932-0
URL:
Volltext
(lizenzpflichtig)
