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Oxford Studies in Probability Ser.: Fischprozesse von J.F. C. Kingman (1993,
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Artikelmerkmale
- Artikelzustand
- Sehr gut
- Hinweise des Verkäufers
- “From private estate. In excellent condition.”
- ISBN
- 9780198536932
- Subject Area
- Mathematics
- Publication Name
- Poisson Processes
- Item Length
- 9.5 in
- Publisher
- Oxford University Press, Incorporated
- Subject
- Probability & Statistics / Stochastic Processes, Probability & Statistics / General
- Series
- Oxford Studies in Probability Ser.
- Publication Year
- 1993
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.5 in
- Item Width
- 6.4 in
- Item Weight
- 12.3 Oz
- Number of Pages
- 112 Pages
Über dieses Produkt
Product Information
In the theory of random processes there are two that are fundamental, and occur over and over again, often in surprising ways. There is a real sense in which the deepest results are concerned with their interplay. One, the Bachelier Wiener model of Brownian motion, has been the subject of many books. The other, the Poisson process, seems at first sight humbler and less worthy of study in its own right. Nearly every book mentions it, but most hurry past to more general point processes or Markov chains. This comparative neglect is ill judged, and stems from a lack of perception of the real importance of the Poisson process. This distortion partly comes about from a restriction to one dimension, while the theory becomes more natural in more general context. This book attempts to redress the balance. It records Kingman's fascination with the beauty and wide applicability of Poisson processes in one or more dimensions. The mathematical theory is powerful, and a few key results often produce surprising consequences.
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0198536933
ISBN-13
9780198536932
eBay Product ID (ePID)
1144266
Product Key Features
Publication Name
Poisson Processes
Format
Hardcover
Language
English
Subject
Probability & Statistics / Stochastic Processes, Probability & Statistics / General
Series
Oxford Studies in Probability Ser.
Publication Year
1993
Type
Textbook
Subject Area
Mathematics
Number of Pages
112 Pages
Dimensions
Item Length
9.5 in
Item Height
0.5 in
Item Width
6.4 in
Item Weight
12.3 Oz
Additional Product Features
LCCN
92-025532
Intended Audience
College Audience
Series Volume Number
3
Lc Classification Number
Qa274.42.K56 1993
Reviews
"Fulfills the expectations one might have when a famous elder author writes a book on a classic topic. It gives the basic facts in a clear and lucid way. It is shown how the theory can be applied to interesting problems of astronomy, queuing and traffic, etc., and these examples are studied very thoroughly and deeply, giving even the specialist new insights . . . . an excellent basis for lectures or seminars . . . a valuable gift for a young mathematician to stimulate his or her interest in stochastic processes and in applied probability in general." --Dietrich Stoyan, MathematicalReviews "Whereas treatises on Brownian motion abound, there is a dearth of parallel treatments of the Poisson process. In point of fact, this book is the very first. We read it from cover to cover as soon as we received it, like a novel, and we felt refreshed by it."--The Bulletin of Mathematics Books "It is a rare thing for a mathematical book to attract by the sheer fascination of its narrative. Here is one that can be read and enjoyed as an unfolding story, recounting the highlights of a journey through a memorable landscape....I can almost recommend it as enchanting bedtime reading....In the hundred or so pages of the book the reader does indeed get a feeling of the beauty and power of the Poisson process....The book succeeds admirably in its aim of shining a spotlight on many of the arresting features of the Poisson process in quick succession...It is a pity we do not have many more mathematical books written in the refreshing style of this one."--Stochastics and Stochastics Reports, 'The presentation everywhere is rigorous without being fuzzy about measure theoretical details; this would make the monograph suitable for many readrs, who are either not interested or not trained in measure theoretical subtleties ... a useful addition to the literature both for variousbeginners as well as for lecturers in the theory of stochastic processes who would find in it a rich array of topics presented clearly.'S.D. Chatterji, Mathematics Abstracts, 773/93, "Fulfills the expectations one might have when a famous elder author writes a book on a classic topic. It gives the basic facts in a clear and lucid way. It is shown how the theory can be applied to interesting problems of astronomy, queuing and traffic, etc., and these examples are studied very thoroughly and deeply, giving even the specialist new insights . . . . an excellent basis for lectures or seminars . . . a valuable gift for a young mathematician to stimulate his or her interest in stochastic processes and in applied probability in general." --Dietrich Stoyan, Mathematical Reviews"Whereas treatises on Brownian motion abound, there is a dearth of parallel treatments of the Poisson process. In point of fact, this book is the very first. We read it from cover to cover as soon as we received it, like a novel, and we felt refreshed by it."--The Bulletin of Mathematics Books"It is a rare thing for a mathematical book to attract by the sheer fascination of its narrative. Here is one that can be read and enjoyed as an unfolding story, recounting the highlights of a journey through a memorable landscape....I can almost recommend it as enchanting bedtime reading....In the hundred or so pages of the book the reader does indeed get a feeling of the beauty and power of the Poisson process....The book succeeds admirably in its aim of shining a spotlight on many of the arresting features of the Poisson process in quick succession...It is a pity we do not have many more mathematical books written in the refreshing style of this one."--Stochastics and Stochastics Reports, "Fulfills the expectations one might have when a famous elder author writes a book on a classic topic. It gives the basic facts in a clear and lucid way. It is shown how the theory can be applied to interesting problems of astronomy, queuing and traffic, etc., and these examples are studied very thoroughly and deeply, giving even the specialist new insights . . . . an excellent basis for lectures or seminars . . . a valuable gift for a young mathematician to stimulate his or her interest in stochastic processes and in applied probability in general." -- Dietrich Stoyan, Mathematical Reviews "Whereas treatises on Brownian motion abound, there is a dearth of parallel treatments of the Poisson process. In point of fact, this book is the very first. We read it from cover to cover as soon as we received it, like a novel, and we felt refreshed by it."-- The Bulletin of Mathematics Books "It is a rare thing for a mathematical book to attract by the sheer fascination of its narrative. Here is one that can be read and enjoyed as an unfolding story, recounting the highlights of a journey through a memorable landscape....I can almost recommend it as enchanting bedtime reading....In the hundred or so pages of the book the reader does indeed get a feeling of the beauty and power of the Poisson process....The book succeeds admirably in its aim of shining a spotlight on many of the arresting features of the Poisson process in quick succession...It is a pity we do not have many more mathematical books written in the refreshing style of this one."-- Stochastics and Stochastics Reports, 'provides an enjoyable and clearly written introduction to the structure and properties of Poisson processes ... Thanks to skillful steering away from, and around, technicalities, it is widely accessible. If you don't know the story, read this book - you will then know what you are missing. Ifyou do know it, a browse through the book, particularly the later chapters, is still worthwhile for interesting perspectives on several areas.'P.J. Donnelly, Queen Mary and Westfield College, Short Book Reviews (Publication of the International Statistical Institute), 'It records the author's fascination with the beauty and wide applicability of Poisson processes in one or more dimensions.'L'Enseignement Mathematique, 3-4, 1993, 'Every mathematician with some knowledge of stochastic processes is aware of the interest and importance of the Poisson process. Therefore it is very useful to have now a book which is devoted to a systematic treatment of Poisson processes. The book ... fulfills the expectations one might havewhen a famous elder author writes a book on a classic topic. It gives the basic facts in a clear and lucid way. It is shown how the theory can be applied to interesting problems of astronomy, queueing and traffic, etc., and these examples are studied very thoroughly and deeply, giving even thespecialist new insights ... an excellent basis for lectures or seminars .... a valuable gift for a young mathematician to stimulate his or her interest in stochastic processes and in applied probability in general.'Mathematical Reviews, Issue 94a, 'provides an enjoyable and clearly written introduction to the structure and properties of Poisson processes ... Thanks to skillful steering away from, and around, technicalities, it is widely accessible. If you don't know the story, read this book - you will then know what you are missing. If you do know it, a browse through the book, particularly the later chapters, is still worthwhile for interesting perspectives on several areas.'P.J. Donnelly, Queen Mary and Westfield College, Short Book Reviews (Publication of the International Statistical Institute)'It records the author's fascination with the beauty and wide applicability of Poisson processes in one or more dimensions.'L'Enseignement Mathématique, 3-4, 1993'Every mathematician with some knowledge of stochastic processes is aware of the interest and importance of the Poisson process. Therefore it is very useful to have now a book which is devoted to a systematic treatment of Poisson processes. The book ... fulfills the expectations one might have when a famous elder author writes a book on a classic topic. It gives the basic facts in a clear and lucid way. It is shown how the theory can be applied tointeresting problems of astronomy, queueing and traffic, etc., and these examples are studied very thoroughly and deeply, giving even the specialist new insights ... an excellent basis for lectures or seminars ....a valuable gift for a young mathematician to stimulate his or her interest in stochastic processes and in applied probability in general.'Mathematical Reviews, Issue 94a'The presentation everywhere is rigorous without being fuzzy about measure theoretical details; this would make the monograph suitable for many readrs, who are either not interested or not trained in measure theoretical subtleties ... a useful addition to the literature both for various beginners as well as for lecturers in the theory of stochastic processes who would find in it a rich array of topics presented clearly.'S.D. Chatterji, Mathematics Abstracts, 773/93'The Poisson process is surely the most beautiful object in probability theory, and John Kingman is its most gifted expositor. One might have been forgiven for thinking that there would be little new to say, but in fact this book is studded with new and fascinating insights. It is rare to find a book that simultaneously addresses the beginner and the expert. If there were a prize for the wisest probability book of the decade it would have to go toBristol's Vice-Chancellor.'David Kendall, Cambridge, Journal of Royal Statistical Society, 1994, 'The Poisson process is surely the most beautiful object in probability theory, and John Kingman is its most gifted expositor. One might have been forgiven for thinking that there would be little new to say, but in fact this book is studded with new and fascinating insights. It is rare tofind a book that simultaneously addresses the beginner and the expert. If there were a prize for the wisest probability book of the decade it would have to go to Bristol's Vice-Chancellor.'David Kendall, Cambridge, Journal of Royal Statistical Society, 1994, "Fulfills the expectations one might have when a famous elder author writes a book on a classic topic. It gives the basic facts in a clear and lucid way. It is shown how the theory can be applied to interesting problems of astronomy, queuing and traffic, etc., and these examples are studied very thoroughly and deeply, giving even the specialist new insights . . . . an excellent basis for lectures or seminars . . . a valuable gift for a young mathematician to stimulate his or her interest in stochastic processes and in applied probability in general." --Dietrich Stoyan, Mathematical Reviews "Whereas treatises on Brownian motion abound, there is a dearth of parallel treatments of the Poisson process. In point of fact, this book is the very first. We read it from cover to cover as soon as we received it, like a novel, and we felt refreshed by it."--The Bulletin of Mathematics Books "It is a rare thing for a mathematical book to attract by the sheer fascination of its narrative. Here is one that can be read and enjoyed as an unfolding story, recounting the highlights of a journey through a memorable landscape....I can almost recommend it as enchanting bedtime reading....In the hundred or so pages of the book the reader does indeed get a feeling of the beauty and power of the Poisson process....The book succeeds admirably in its aim of shining a spotlight on many of the arresting features of the Poisson process in quick succession...It is a pity we do not have many more mathematical books written in the refreshing style of this one."--Stochastics and Stochastics Reports
Table of Content
Stochastic models for random sets of points; Poisson processes in general spaces; Sums over Poisson processes; Poisson processes on the line; Marked Poisson processes; Cox processes; Stochastic geometry; Complete random measures; The Poisson-Dirichlet distribution.
Copyright Date
1993
Dewey Decimal
519.23
Dewey Edition
23
Illustrated
Yes
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