Probability Measures on Metric Spaces
By:K. R. Parthasarathy
Published on 2014-07-03 by Academic Press
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.
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Book ID of Probability Measures on Metric Spaces's Books is PJPiBQAAQBAJ, Book which was written byK. R. Parthasarathyhave ETAG "alIzcCyWKXA"
Book which was published by Academic Press since 2014-07-03 have ISBNs, ISBN 13 Code is 9781483225258 and ISBN 10 Code is 1483225259
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