Probability Measures on Metric Spaces is popular PDF and ePub book, written by K. R. Parthasarathy in 2014-07-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Probability Measures on Metric Spaces can be Read Online from any device for your convenience.
Probability Measures on Metric Spaces Book PDF Summary
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.
Detail Book of Probability Measures on Metric Spaces PDF
- Author : K. R. Parthasarathy
- Release : 03 July 2014
- Publisher : Academic Press
- ISBN : 9781483225258
- Genre : Mathematics
- Total Page : 289 pages
- Language : English
- PDF File Size : 7,7 Mb
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