Martingales Of Banach Valued Random Variables
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Martingales Of Banach Valued Random Variables
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Author : Srishti Dhar Chatterji
language : en
Publisher:
Release Date : 1960
Martingales Of Banach Valued Random Variables written by Srishti Dhar Chatterji and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Banach spaces categories.
Martingales In Banach Spaces
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Author : Gilles Pisier
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-06
Martingales In Banach Spaces written by Gilles Pisier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.
Limit Theorems And Applications Of Set Valued And Fuzzy Set Valued Random Variables
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Author : Shoumei Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Limit Theorems And Applications Of Set Valued And Fuzzy Set Valued Random Variables written by Shoumei Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
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.
Probability In Banach Spaces
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Author : Anatole Beck
language : en
Publisher: Springer
Release Date : 2006-11-14
Probability In Banach Spaces written by Anatole Beck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Random And Vector Measures
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Author : Malempati Madhusudana Rao
language : en
Publisher: World Scientific
Release Date : 2012
Random And Vector Measures written by Malempati Madhusudana Rao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Deals with the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields. This book analyzes several stationary aspects and related processes.
Probability In Banach Spaces 9
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Author : Jorgen Hoffmann-Jorgensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Probability In Banach Spaces 9 written by Jorgen Hoffmann-Jorgensen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993. A glance at the table of contents indicates the broad range of topics covered at this conference. What defines research in this field is not so much the topics considered but the generality of the ques tions that are asked. The goal is to examine the behavior of large classes of stochastic processes and to describe it in terms of a few simple prop erties that the processes share. The reward of research like this is that occasionally one can gain deep insight, even about familiar processes, by stripping away details, that in hindsight turn out to be extraneous. A good understanding about the disciplines involved in this field can be obtained from the recent book, Probability in Banach Spaces, Springer-Verlag, by M. Ledoux and M. Thlagrand. On page 5, of this book, there is a list of previous conferences in probability in Banach spaces, including the other eight international conferences. One can see that research in this field over the last twenty years has contributed significantly to knowledge in probability and has had important applications in many other branches of mathematics, most notably in statistics and functional analysis.
Higher Moments Of Banach Space Valued Random Variables
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Author : Svante Janson
language : en
Publisher:
Release Date : 2015
Higher Moments Of Banach Space Valued Random Variables written by Svante Janson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Banach spaces categories.
We define the k:th moment of a Banach space valued random variable as the expectation of its k:th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. We study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals. One of the problems studied is whether two random variables with the same injective moments (of a given order) necessarily have the same projective moments; this is of interest in applications. We show that this holds if the Banach space has the approximation property, but not in general. Several chapters are devoted to results in special Banach spaces, including Hilbert spaces, C(K) and D[0, 1]. The latter space is non-separable, which complicates the arguments, and we prove various preliminary results on e.g. measurability in D[0, 1] that we need. One of the main motivations of this paper is the application to Zolotarev metrics and their use in the contraction method. This is sketched in an appendix.
Martingale Theory In Harmonic Analysis And Banach Spaces
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Author : J.-A. Chao
language : en
Publisher: Springer
Release Date : 2006-11-17
Martingale Theory In Harmonic Analysis And Banach Spaces written by J.-A. Chao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-17 with Mathematics categories.
U Statistics In Banach Spaces
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Author : IU. IUrii Vasilevich Borovskikh
language : en
Publisher: VSP
Release Date : 1996-01-01
U Statistics In Banach Spaces written by IU. IUrii Vasilevich Borovskikh and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Mathematics categories.
U-statistics are universal objects of modern probabilistic summation theory. They appear in various statistical problems and have very important applications. The mathematical nature of this class of random variables has a functional character and, therefore, leads to the investigation of probabilistic distributions in infinite-dimensional spaces. The situation when the kernel of a U-statistic takes values in a Banach space, turns out to be the most natural and interesting. In this book, the author presents in a systematic form the probabilistic theory of U-statistics with values in Banach spaces (UB-statistics), which has been developed to date. The exposition of the material in this book is based around the following topics: algebraic and martingale properties of U-statistics; inequalities; law of large numbers; the central limit theorem; weak convergence to a Gaussian chaos and multiple stochastic integrals; invariance principle and functional limit theorems; estimates of the rate of weak convergence; asymptotic expansion of distributions; large deviations; law of iterated logarithm; dependent variables; relation between Banach-valued U-statistics and functionals from permanent random measures.
Probability In Banach Spaces
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Author : Michel Ledoux
language : en
Publisher: Springer Science & Business Media
Release Date : 1991
Probability In Banach Spaces written by Michel Ledoux and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Language Arts & Disciplines categories.
Based on recent developments, such as new isoperimetric inequalities and random process techniques, this book presents a thorough treatment of the main aspects of Probability in Banach spaces, and of some of their links to Geometry of Banach spaces.