Lectures on the Poisson Process: 7 (Institute of Mathematical Statistics Textbooks, Series Number 7) - Tapa dura

Last, Günter; Penrose, Mathew

 
9781107088016: Lectures on the Poisson Process: 7 (Institute of Mathematical Statistics Textbooks, Series Number 7)
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ISBN 10: 1107088011 ISBN 13: 9781107088016
Editorial: Cambridge University Press, 2017

Sinopsis

The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated. This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis of the Poisson process. Also discussed are applications and related topics in stochastic geometry, including stationary point processes, the Boolean model, the Gilbert graph, stable allocations, and hyperplane processes. Comprehensive, rigorous, and self-contained, this text is ideal for graduate courses or for self-study, with a substantial number of exercises for each chapter. Mathematical prerequisites, mainly a sound knowledge of measure-theoretic probability, are kept in the background, but are reviewed comprehensively in the appendix. The authors are well-known researchers in probability theory; especially stochastic geometry. Their approach is informed both by their research and by their extensive experience in teaching at undergraduate and graduate levels.

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Acerca de los autores

Günter Last is Professor of Stochastics at the Karlsruhe Institute of Technology, Germany. He is a distinguished probabilist with particular expertise in stochastic geometry, point processes, and random measures. He coauthored a research monograph on marked point processes on the line as well as two textbooks on general mathematics. He has given many invited talks on his research worldwide.

Mathew Penrose is Professor of Probability at the University of Bath. He is an internationally leading researcher in stochastic geometry and applied probability and is the author of the influential monograph Random Geometric Graphs (2003). He received the Friedrich Wilhelm Bessel Research Award from the Humboldt Foundation in 2008, and has held visiting positions as guest lecturer in New Delhi, Karlsruhe, San Diego, Birmingham, and Lille.

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Editorial
Cambridge University Press
Año de publicación
2017
Idioma
Inglés
ISBN 10 
1107088011
ISBN 13 
9781107088016
Encuadernación
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Número de páginas
314
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

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Dardilly
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Otras ediciones populares con el mismo título

9781107458437: Lectures on the Poisson Process: 7 (Institute of Mathematical Statistics Textbooks, Series Number 7)

Edición Destacada

ISBN 10:  1107458439 ISBN 13:  9781107458437
Editorial: Cambridge University Press, 2017
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