Probability Measures on Metric Spaces
Parthasarathy, K.R.
ISBN 10: 1470481103 ISBN 13: 9781470481100
Published by American Mathematical Society, 1967
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In this book, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which is viewed as an alternative approach to the general theory of stochastic processes). After a general description of the basics of topology on the set of measures, the author discusses regularity, tightness, and perfectness of measures, properties of sampling distributions, and metrizability and compactness theorems. Next, he describes arithmetic properties of probability measures on metric groups and locally compact abelian groups. Covered in detail are notions such as decomposability, infinite divisibility, idempotence, and their relevance to limit theorems for "sums" of infinitesimal random variables. The book concludes with numerous results related to limit theorems for probability measures on Hilbert spaces and on the space of continuous functions on an interval. This book is suitable for graduate students and researchers interested in probability and stochastic processes and would make an ideal supplementary reading or independent study text.
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Bibliographic Details
Title: Probability Measures on Metric Spaces
Publisher: American Mathematical Society
Publication Date: 1967
Binding: Soft cover
Condition: As New
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Probability Measures on Metric Spaces (AMS Chelsea Publishing)
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ISBN 13: 9781470481100
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Probability Measures on Metric Spaces (AMS Chelsea Publishing)
Published by
American Mathematical Society, 1967
ISBN 10: 1470481103
ISBN 13: 9781470481100
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Softcover
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Probability Measures on Metric Spaces
Published by
American Mathematical Society, US, 1967
ISBN 10: 1470481103
ISBN 13: 9781470481100
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Paperback
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Paperback. Condition: New. In this book, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which is viewed as an alternative approach to the general theory of stochastic processes). After a general description of the basics of topology on the set of measures, the author discusses regularity, tightness, and perfectness of measures, properties of sampling distributions, and metrizability and compactness theorems. Next, he describes arithmetic properties of probability measures on metric groups and locally compact abelian groups. Covered in detail are notions such as decomposability, infinite divisibility, idempotence, and their relevance to limit theorems for ""sums"" of infinitesimal random variables. The book concludes with numerous results related to limit theorems for probability measures on Hilbert spaces and on the space of continuous functions on an interval. This book is suitable for graduate students and researchers interested in probability and stochastic processes and would make an ideal supplementary reading or independent study text. Seller Inventory # LU-9781470481100
Quantity: 1 available
Seller Image
Probability Measures on Metric Spaces
Published by
American Mathematical Society, US, 1967
ISBN 10: 1470481103
ISBN 13: 9781470481100
New
Paperback
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. In this book, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which is viewed as an alternative approach to the general theory of stochastic processes). After a general description of the basics of topology on the set of measures, the author discusses regularity, tightness, and perfectness of measures, properties of sampling distributions, and metrizability and compactness theorems. Next, he describes arithmetic properties of probability measures on metric groups and locally compact abelian groups. Covered in detail are notions such as decomposability, infinite divisibility, idempotence, and their relevance to limit theorems for ""sums"" of infinitesimal random variables. The book concludes with numerous results related to limit theorems for probability measures on Hilbert spaces and on the space of continuous functions on an interval. This book is suitable for graduate students and researchers interested in probability and stochastic processes and would make an ideal supplementary reading or independent study text. Seller Inventory # LU-9781470481100
Quantity: 1 available