Titlebook: An Introduction to Heavy-Tailed and Subexponential Distributions; Sergey Foss,Dmitry Korshunov,Stan Zachary Textbook 2013Latest edition Sp

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Densities and Local Probabilities,n . or counting measure on .. Next we study the asymptotic behaviour of the probabilities to belong to an interval of a fixed length. We give the analogues of the basic properties of the tail probabilities including two analogues of Kesten’s estimate, and provide sufficient conditions for probability distributions to have these local properties.

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https://doi.org/10.1007/978-1-4614-7101-1environmental modeling; financial modeling; lognormal distribution; long-tailed distribution; pareto dis

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An Introduction to Heavy-Tailed and Subexponential Distributions978-1-4614-7101-1Series ISSN 1431-8598 Series E-ISSN 2197-1773

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Ueber die Bedeutung der Sonnenflecken,n . or counting measure on .. Next we study the asymptotic behaviour of the probabilities to belong to an interval of a fixed length. We give the analogues of the basic properties of the tail probabilities including two analogues of Kesten’s estimate, and provide sufficient conditions for probability distributions to have these local properties.

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