Probability Measures on Metric Spaces (Ams Chelsea Publishing)

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9780821838891: Probability Measures on Metric Spaces (Ams Chelsea Publishing)

Having been out of print for over 10 years, the AMS is delighted to bring this classic volume back to the mathematical community. With this fine exposition, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which he views 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, he 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 spaces $C[0,1]$. The Mathematical Reviews comments about the original edition of this book are as true today as they were in 1967. It remains a compelling work and a priceless resource for learning about the theory of probability measures. The volume 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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1.

K. R. Parthasarathy
Editore: American Mathematical Society (2005)
ISBN 10: 082183889X ISBN 13: 9780821838891
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Sequitur Books
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Descrizione libro American Mathematical Society, 2005. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. Having been out of print for over 10 years, the AMS is delighted to bring this classic volume back to the mathematical community.With this fine exposition, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which he views 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, he 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 spaces $C[0,1]$.The Mathematical Reviews comments about the original edition of this book are as true today as they were in 1967. It remains a compelling work and a priceless resource for learning about the theory of probability measures.The volume is suitable for graduate students and researchers interested in probability and stochastic processes and would make an ideal supplementary reading or independent study text. Codice libro della libreria 1007090040

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K. R. Parthasarathy
Editore: American Mathematical Society, United States (2005)
ISBN 10: 082183889X ISBN 13: 9780821838891
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Descrizione libro American Mathematical Society, United States, 2005. Hardback. Condizione libro: New. New edition. Language: English . Brand New Book. Having been out of print for over 10 years, the AMS is delighted to bring this classic volume back to the mathematical community. With this fine exposition, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which he views 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, he 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 spaces $C[0,1]$. The Mathematical Reviews comments about the original edition of this book are as true today as they were in 1967. It remains a compelling work and a priceless resource for learning about the theory of probability measures. The volume is suitable for graduate students and researchers interested in probability and stochastic processes and would make an ideal supplementary reading or independent study text. Codice libro della libreria AAN9780821838891

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K. R. Parthasarathy
Editore: American Mathematical Society, United States (2005)
ISBN 10: 082183889X ISBN 13: 9780821838891
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Descrizione libro American Mathematical Society, United States, 2005. Hardback. Condizione libro: New. New edition. Language: English . Brand New Book. Having been out of print for over 10 years, the AMS is delighted to bring this classic volume back to the mathematical community. With this fine exposition, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which he views 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, he 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 spaces $C[0,1]$. The Mathematical Reviews comments about the original edition of this book are as true today as they were in 1967. It remains a compelling work and a priceless resource for learning about the theory of probability measures. The volume is suitable for graduate students and researchers interested in probability and stochastic processes and would make an ideal supplementary reading or independent study text. Codice libro della libreria AAN9780821838891

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K. R. Parthasarathy
Editore: American Mathematical Society
ISBN 10: 082183889X ISBN 13: 9780821838891
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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, Probability Measures on Metric Spaces (New edition), K. R. Parthasarathy, Having been out of print for over 10 years, the AMS is delighted to bring this classic volume back to the mathematical community. With this fine exposition, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which he views 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, he 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 spaces $C[0,1]$. ""The Mathematical Reviews"" comments about the original edition of this book are as true today as they were in 1967. It remains a compelling work and a priceless resource for learning about the theory of probability measures. The volume is suitable for graduate students and researchers interested in probability and stochastic processes and would make an ideal supplementary reading or independent study text. Codice libro della libreria B9780821838891

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K. R. Parthasarathy
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Descrizione libro American Mathematical Society, 2005. Hardcover. Condizione libro: New. book. Codice libro della libreria 082183889X

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218388910000000

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Descrizione libro American Mathematical Society, 2005. Hardcover. Condizione libro: Brand New. new edition edition. 276 pages. 10.24x7.17x0.79 inches. In Stock. Codice libro della libreria __082183889X

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Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97808218388911.0

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Descrizione libro American Mathematical Society. Hardcover. Condizione libro: New. 082183889X New Condition. Codice libro della libreria NEW6.0970490

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