Probability Measures On Metric Spaces
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Probability Measures On Metric Spaces
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Author : K. R. Parthasarathy
language : en
Publisher: Academic Press
Release Date : 2014-07-03
Probability Measures On Metric Spaces written by K. R. Parthasarathy and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-03 with Mathematics categories.
Probability Measures on Metric Spaces presents the general theory of probability measures in abstract metric spaces. This book deals with complete separable metric groups, locally impact abelian groups, Hilbert spaces, and the spaces of continuous functions. Organized into seven chapters, this book begins with an overview of isomorphism theorem, which states that two Borel subsets of complete separable metric spaces are isomorphic if and only if they have the same cardinality. This text then deals with properties such as tightness, regularity, and perfectness of measures defined on metric spaces. Other chapters consider the arithmetic of probability distributions in topological groups. This book discusses as well the proofs of the classical extension theorems and existence of conditional and regular conditional probabilities in standard Borel spaces. The final chapter deals with the compactness criteria for sets of probability measures and their applications to testing statistical hypotheses. This book is a valuable resource for statisticians.
Probability Measures On Metric Spaces
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Author : Kalyanapuram Rangachari Parthasarathy
language : en
Publisher:
Release Date : 1976
Probability Measures On Metric Spaces written by Kalyanapuram Rangachari Parthasarathy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Probability Measures On Metric Spaces
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Author : K. R. Parthasarathy
language : en
Publisher:
Release Date : 1966
Probability Measures On Metric Spaces written by K. R. Parthasarathy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Measure theory categories.
Probability Measures On Metric Spaces
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Author : K. R. Parthasarathy
language : en
Publisher:
Release Date : 1967
Probability Measures On Metric Spaces written by K. R. Parthasarathy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.
Probability Measures On Metric Spaces
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Author : Kalyanapuram R. Parthasarathy
language : en
Publisher:
Release Date : 1982
Probability Measures On Metric Spaces written by Kalyanapuram R. Parthasarathy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
Gradient Flows
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Author : Luigi Ambrosio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-29
Gradient Flows written by Luigi Ambrosio 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 2008-10-29 with Mathematics categories.
The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.
Gradient Flows
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Author : Luigi Ambrosio
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-01-28
Gradient Flows written by Luigi Ambrosio 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 2005-01-28 with Mathematics categories.
This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of two parts, the ?rst one concerning gradient ?ows in metric spaces and the second one 2 1 devoted to gradient ?ows in the L -Wasserstein space of probability measures on p a separable Hilbert space X (we consider the L -Wasserstein distance, p? (1,?), as well). The two parts have some connections, due to the fact that the Wasserstein space of probability measures provides an important model to which the “metric” theory applies, but the book is conceived in such a way that the two parts can be read independently, the ?rst one by the reader more interested to Non-Smooth Analysis and Analysis in Metric Spaces, and the second one by the reader more oriented to theapplications in Partial Di?erential Equations, Measure Theory and Probability.
Convergence Of Probability Measures
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Author : Patrick Billingsley
language : en
Publisher: John Wiley & Sons
Release Date : 2013-06-25
Convergence Of Probability Measures written by Patrick Billingsley 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 2013-06-25 with Mathematics categories.
A new look at weak-convergence methods in metric spaces-from a master of probability theory In this new edition, Patrick Billingsley updates his classic work Convergence of Probability Measures to reflect developments of the past thirty years. Widely known for his straightforward approach and reader-friendly style, Dr. Billingsley presents a clear, precise, up-to-date account of probability limit theory in metric spaces. He incorporates many examples and applications that illustrate the power and utility of this theory in a range of disciplines-from analysis and number theory to statistics, engineering, economics, and population biology. With an emphasis on the simplicity of the mathematics and smooth transitions between topics, the Second Edition boasts major revisions of the sections on dependent random variables as well as new sections on relative measure, on lacunary trigonometric series, and on the Poisson-Dirichlet distribution as a description of the long cycles in permutations and the large divisors of integers. Assuming only standard measure-theoretic probability and metric-space topology, Convergence of Probability Measures provides statisticians and mathematicians with basic tools of probability theory as well as a springboard to the "industrial-strength" literature available today.
Probability Measures On Metric Spaces
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Author : Oved Shisha
language : en
Publisher:
Release Date : 1967
Probability Measures On Metric Spaces written by Oved Shisha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.
The Theory Of Stochastic Processes
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Author : Iosif I. Gikhman
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-03-22
The Theory Of Stochastic Processes written by Iosif I. Gikhman 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 2004-03-22 with Mathematics categories.
From the Reviews: "Gihman and Skorohod have done an excellent job of presenting the theory in its present state of rich imperfection." D.W. Stroock in Bulletin of the American Mathematical Society, 1980 "To call this work encyclopedic would not give an accurate picture of its content and style. Some parts read like a textbook, but others are more technical and contain relatively new results. ... The exposition is robust and explicit, as one has come to expect of the Russian tradition of mathematical writing. The set when completed will be an invaluable source of information and reference in this ever-expanding field" K.L. Chung in American Scientist, 1977 "..., the subject has grown enormously since 1953, and there will never be a true successor to Doob's book, but Gihman and Skorohod's three volumes will, I think, occupy a rather similar position as an invaluable tool of reference for all probability theorists. ... The dominant impression is of the authors' mastery of their material, and of their confident insight into its underlying structure. ..." J.F.C. Kingman in Bulletin of the London Mathematical Society, 1977