Titlebook: An Introduction to Heavy-Tailed and Subexponential Distributions; Sergey Foss,Dmitry Korshunov,Stan Zachary Book 20111st edition Springer

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Die Theorie der Säkularen Stagnationportant for many applications, to extend the concept to distributions on the entire real line .. We also study the very useful subclass of subexponential distributions which was originally called . in [29] and which we name .. In particular this class again contains all those heavy-tailed distributions likely to be encountered in practice.

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An Introduction to Heavy-Tailed and Subexponential Distributions

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Subexponential Distributions,ess the additional regularity property of subexponentiality. Essentially this corresponds to good tail behaviour under the operation of convolution. In this chapter, following established tradition, we introduce first subexponential distributions on the positive half-line .. It is not immediately ob

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Maximum of Random Walk,alk is almost surely finite, and our interest is in the tail asymptotics of the distribution of this maximum, for both infinite and finite time horizons; we are further interested in the local asymptotics for the maximum in the case of an infinite time horizon. We use direct probabilistic techniques

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