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- W1768048319 abstract "Skew Laplace distributions, which naturally arise in connection with random summation and quantile regression settings, offer an attractive and flexible alternative to the normal (Gaussian) distribution in a variety of settings where the assumptions of symmetry and short tail are too restrictive. The growing popularity of the Laplacebased models in recent years is due to their fundamental properties, which include a sharp peak at the mode, heavier than Gaussian tails, existence of all moments, infinite divisibility, and, most importantly, random stability and approximation of geometric sums. Since the latter arise quite naturally, these distributions provide useful models in diverse areas, such as biology, economics, engineering, finance, geosciences, and physics. We review fundamental properties of these models, which give insight into their applicability in these areas, and discuss extensions to time series, stochastic processes, and random fields. (Less)" @default.
- W1768048319 created "2016-06-24" @default.
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- W1768048319 date "2012-01-01" @default.
- W1768048319 modified "2023-09-25" @default.
- W1768048319 title "Laplace probability distributions and related stochastic processes" @default.
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