An introduction to heavy-tailed and subexponential distributions

Heavy-tailed probability distributions are an important component in the modeling of many stochastic systems. They are frequently used to accurately model inputs and outputs of computer and data networks and service facilities such as call centers. They are an essential for describing risk processes...

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Главные авторы: Foss, Serguei, 1953-, Koršunov, Dmitrij Alekseevič, 1966- (Автор), Zachary, Stan S., 19..- (Автор)
Формат: Livre numérique
Язык:Anglais
Опубликовано: New York, NY : Springer New York [20..].
Cham : Springer Nature
Редактирование:1st ed. 2011.
Серии:Springer Series in Operations Research and Financial Engineering 38
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Примечание: Description d'après consultation du 14 mai 2012
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Edition sous un autre format:• An introduction to heavy-tailed and subexponential distributions, Sergey Foss, Dmitry Korshunov, Stan Zachary, New York, Springer, 2011, 1 vol. (IX-123 p.), Springer series in operations research and financial engineering, 978-1-441-99472-1
• An Introduction to Heavy-Tailed and Subexponential Distributions, Texte imprimé, 9781441994745
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504 |a Bibliogr. p. 119-120 Index p. 121-123 
505 1 |a Preface Introduction Heavy- and long-tailed distributions Subexponential distributions.- Densities and local probabilities Maximum of random walks References Index. 
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520 |a Heavy-tailed probability distributions are an important component in the modeling of many stochastic systems. They are frequently used to accurately model inputs and outputs of computer and data networks and service facilities such as call centers. They are an essential for describing risk processes in finance and also for insurance premia pricing, and such distributions occur naturally in models of epidemiological spread. The class includes distributions with power law tails such as the Pareto, as well as the lognormal and certain Weibull distributions.  This monograph defines the classes of long-tailed and subexponential distributions in one dimension and provides a complete and comprehensive description of their properties. New results are presented in a simple, coherent and systematic way. This leads to a comprehensive exposition of tail properties of sums of independent random variables whose distributions belong to the long-tailed and subexponential class. The book includes a discussion of and references to contemporary areas of applications and also contains preliminary mathematical material which makes the book self contained. Modelers in the fields of finance, insurance, network science and environmental studies will find this book to be an essential reference. 
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