Description

Book Synopsis
Presents an account of the theory of probability measures on complete metric spaces. This title includes a description of the basics of topology on the set of measures. It discusses regularity, tightness, and perfectness of measures, properties of sampling distributions, and metrizability and compactness theorems.

Table of Contents
The Borel subsets of a metric space Probability measures in a metric space Probability measures in a metric group Probability measures in locally compact abelian groups The Kolmogorov consistency theorem and conditional probability Probability measures in a Hilbert space Probability measures on $C[0,1]$ and $D[0,1]$ Bibliographical notes Bibliography List of symbols Author index Subject index.

Probability Measures on Metric Spaces

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    A Hardback by K.r. Parthasarathy

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      Book details

      Publisher American Mathematical Society
      Published 10/30/2005 12:00:00 AM
      ISBN-13 9780821838891
      978-0821838891
      ISBN-10 082183889X

      Description

      Book Synopsis
      Presents an account of the theory of probability measures on complete metric spaces. This title includes a description of the basics of topology on the set of measures. It discusses regularity, tightness, and perfectness of measures, properties of sampling distributions, and metrizability and compactness theorems.

      Table of Contents
      The Borel subsets of a metric space Probability measures in a metric space Probability measures in a metric group Probability measures in locally compact abelian groups The Kolmogorov consistency theorem and conditional probability Probability measures in a Hilbert space Probability measures on $C[0,1]$ and $D[0,1]$ Bibliographical notes Bibliography List of symbols Author index Subject index.

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