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arXiv · 1605.02326

The tempered discrete Linnik distribution

Lucio Barabesi·Carolina Becatti·Marzia Marcheselli
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Abstract

A tempered version of the discrete Linnik distribution is introduced in order to obtain integer-valued distribution families connected to stable laws. The proposal constitutes a generalization of the well-known Poisson-Tweedie law, which is actually a tempered discrete stable law. The features of the new tempered discrete Linnik distribution are explored by providing a series of identities in law - which describe its genesis in terms of mixture and compound Poisson law, as well as in terms of mixture discrete stable law. A manageable expression of the corresponding probability function is also provided and several special cases are analysed.

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Lucio Barabesi, Carolina Becatti, Marzia Marcheselli. 2016-05-08. The tempered discrete Linnik distribution. https://arxiv.org/abs/1605.02326

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