A Course on Point Processes (Springer Series in Statistics) - Tapa blanda

Libro 17 de 160: Springer Series in Statistics

Reiss, R.-D.

 
9781461393108: A Course on Point Processes (Springer Series in Statistics)
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ISBN 10: 1461393108 ISBN 13: 9781461393108
Editorial: Springer, 2011

Sinopsis

This graduate-level textbook provides a straight-forward and mathematically rigorous introduction to the standard theory of point processes. The author's aim is to present an account which concentrates on the essentials and which places an emphasis on conveying an intuitive understanding of the subject. As a result, it provides a clear presentation of how statistical ideas can be viewed from this perspective.

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Reseña del editor

Chapters 1 and 2 of this book originated from a manuscript that was dis­ tributed shortly before aseminar. Each of the participants had acquired a solid background in probability theory and statistics, yet the knowledge of point or counting processes was partly restricted to the homogeneous Poisson counting process buHt by partial sums of exponential random vari­ ables. These preparations turned out to be successful and, consequently, there was time left during the seminar to study some of the topics outlined in Chapters 3-9. This story reveals the main intention of writing this book, namely, to facilitate first steps into the field of point processes. To avoid misunderstanding, this book is not written in an informal style but in strictly mathematical terms. The book provides extensive explana­ tions and detailed proofs (including the discussion of measurability prob­ lems, etc.) which will be helpful to gain insight on the subject. Although this book is of an introductionary nature it includes much new material and presents an elaboration of various topics in a way that cannot be found elsewhere. A broader knowledge and deeper understanding of the subject may be gained by consulting well-known monographs such as those of Daley and Vere-Jones [36], Resnick [128], Matthes, Kerstan and Mecke [104], Karr [88], Kallenberg [87], among others, as weH as originalliterature. For that enterprise, introductory remarks about various specific topics and extensive references may serve as a guideline.

Reseña del editor

This graduate-level textbook provides a straight-forward and mathematically rigorous introduction to the standard theory of point processes. The author's aim is to present an account which concentrates on the essentials and which places an emphasis on conveying an intuitive understanding of the subject. As a result, it provides a clear presentation of how statistical ideas can be viewed from this perspective and particular topics covered include the theory of extreme values and sampling from finite populations. Prerequisites are that the reader has a basic grounding in the mathematical theory of probability and statistics, but otherwise the book is self-contained. It arises from courses given by the author over a number of years and includes numerous exercises ranging from simple computations to more challenging explorations of ideas from the text.

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Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
1461393108
ISBN 13 
9781461393108
Encuadernación
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Número de páginas
272
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387979243: A Course on Point Processes

Edición Destacada

ISBN 10:  0387979247 ISBN 13:  9780387979243
Editorial: Springer, 1993
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