Probability Distributions On Banach Spaces

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Probability Distributions On Banach Spaces

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Author : N Vakhania
language : en
Publisher:
Release Date : 1987-10-31

Probability Distributions On Banach Spaces written by N Vakhania and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-10-31 with Espacios de Banach categories.

Probability Distributions On Banach Spaces

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Author : N Vakhania
language : en
Publisher: Springer Science & Business Media
Release Date : 1987-10-31

Probability Distributions On Banach Spaces written by N Vakhania 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 1987-10-31 with Mathematics categories.

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Geometric Problems In The Theory Of Infinite Dimensional Probability Distributions

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Author : V. N. Sudakov
language : en
Publisher: American Mathematical Soc.
Release Date : 1979

Geometric Problems In The Theory Of Infinite Dimensional Probability Distributions written by V. N. Sudakov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.

Discusses problems in the distribution theory of probability.

Probability Distributions On Linear Spaces

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Author : Nikolaĭ Nikolaevich Vakhanii͡a
language : en
Publisher: North-Holland
Release Date : 1981

Probability Distributions On Linear Spaces written by Nikolaĭ Nikolaevich Vakhanii͡a and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.

Probability In Banach Spaces

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Author : Michel Ledoux
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

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 2013-03-09 with Mathematics categories.

Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.

Probabilities On Algebraic Structures

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Author : Ulf Grenander
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01

Probabilities On Algebraic Structures written by Ulf Grenander and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.

This systematic approach covers semi-groups, groups, linear vector spaces, and algebra. It states and studies fundamental probabilistic problems for these spaces, focusing on concrete results. 1963 edition.

Probability Measures On Groups

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Author : H. Heyer
language : en
Publisher: Springer
Release Date : 2006-11-17

Probability Measures On Groups written by H. Heyer 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.

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N Distances And Their Applications

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Author : Lev B. Klebanov
language : en
Publisher: Karolinum Press, Charles University
Release Date : 2006-04

N Distances And Their Applications written by Lev B. Klebanov and has been published by Karolinum Press, Charles University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04 with Distribution (Probability theory) categories.

The book focuses on probability metrics suitable for the characterization of random variables in Hilbert or Banach space. It provides details of various stochastic processes, such as testing non-deterministic statistical hypotheses, characterization of probability distribution or constructing multidimensional test for two selections. The book is published in the English language.

Gaussian Measures In Hilbert Space

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Author : Alexander Kukush
language : en
Publisher: John Wiley & Sons
Release Date : 2020-02-26

Gaussian Measures In Hilbert Space written by Alexander Kukush and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-26 with Mathematics categories.

At the nexus of probability theory, geometry and statistics, a Gaussian measure is constructed on a Hilbert space in two ways: as a product measure and via a characteristic functional based on Minlos-Sazonov theorem. As such, it can be utilized for obtaining results for topological vector spaces. Gaussian Measures contains the proof for Ferniques theorem and its relation to exponential moments in Banach space. Furthermore, the fundamental Feldman-Hájek dichotomy for Gaussian measures in Hilbert space is investigated. Applications in statistics are also outlined. In addition to chapters devoted to measure theory, this book highlights problems related to Gaussian measures in Hilbert and Banach spaces. Borel probability measures are also addressed, with properties of characteristic functionals examined and a proof given based on the classical Banach Steinhaus theorem. Gaussian Measures is suitable for graduate students, plus advanced undergraduate students in mathematics and statistics. It is also of interest to students in related fields from other disciplines. Results are presented as lemmas, theorems and corollaries, while all statements are proven. Each subsection ends with teaching problems, and a separate chapter contains detailed solutions to all the problems. With its student-tested approach, this book is a superb introduction to the theory of Gaussian measures on infinite-dimensional spaces.

Topics In Infinitely Divisible Distributions And L Vy Processes Revised Edition

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Author : Alfonso Rocha-Arteaga
language : en
Publisher: Springer Nature
Release Date : 2019-11-02

Topics In Infinitely Divisible Distributions And L Vy Processes Revised Edition written by Alfonso Rocha-Arteaga and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-02 with Mathematics categories.

This book deals with topics in the area of Lévy processes and infinitely divisible distributions such as Ornstein-Uhlenbeck type processes, selfsimilar additive processes and multivariate subordination. These topics are developed around a decreasing chain of classes of distributions Lm, m = 0,1,...,∞, from the class L0 of selfdecomposable distributions to the class L∞ generated by stable distributions through convolution and convergence. The book is divided into five chapters. Chapter 1 studies basic properties of Lm classes needed for the subsequent chapters. Chapter 2 introduces Ornstein-Uhlenbeck type processes generated by a Lévy process through stochastic integrals based on Lévy processes. Necessary and sufficient conditions are given for a generating Lévy process so that the OU type process has a limit distribution of Lm class. Chapter 3 establishes the correspondence between selfsimilar additive processes and selfdecomposable distributions and makes a close inspection of the Lamperti transformation, which transforms selfsimilar additive processes and stationary type OU processes to each other. Chapter 4 studies multivariate subordination of a cone-parameter Lévy process by a cone-valued Lévy process. Finally, Chapter 5 studies strictly stable and Lm properties inherited by the subordinated process in multivariate subordination. In this revised edition, new material is included on advances in these topics. It is rewritten as self-contained as possible. Theorems, lemmas, propositions, examples and remarks were reorganized; some were deleted and others were newly added. The historical notes at the end of each chapter were enlarged. This book is addressed to graduate students and researchers in probability and mathematical statistics who are interested in learning more on Lévy processes and infinitely divisible distributions.