Some recent results in infinite divisibility

F.W. Steutel

doi:10.1016/0304-4149(73)90008-2

Some recent results in infinite divisibility

F.W. Steutel

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Abstract

In this paper, a survey is given of some recent developments in infinite divisibility. There are three main topics: (i) the occurrence of infinitely divisible distributions in applied stochastic processes such as queueing processes and birth-death processes, (ii) the construction of infinitely divisible distributions, mainly by mixing, and (iii) conditions for infinite divisibility in terms of distribution functions and densities.

Original language	English
Pages (from-to)	125-143
Journal	Stochastic processes and their applications
Volume	1
Issue number	2
DOIs	https://doi.org/10.1016/0304-4149(73)90008-2
Publication status	Published - 1973

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title = "Some recent results in infinite divisibility",

abstract = "In this paper, a survey is given of some recent developments in infinite divisibility. There are three main topics: (i) the occurrence of infinitely divisible distributions in applied stochastic processes such as queueing processes and birth-death processes, (ii) the construction of infinitely divisible distributions, mainly by mixing, and (iii) conditions for infinite divisibility in terms of distribution functions and densities.",

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AB - In this paper, a survey is given of some recent developments in infinite divisibility. There are three main topics: (i) the occurrence of infinitely divisible distributions in applied stochastic processes such as queueing processes and birth-death processes, (ii) the construction of infinitely divisible distributions, mainly by mixing, and (iii) conditions for infinite divisibility in terms of distribution functions and densities.

U2 - 10.1016/0304-4149(73)90008-2

DO - 10.1016/0304-4149(73)90008-2

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VL - 1

SP - 125

EP - 143

JO - Stochastic processes and their applications

JF - Stochastic processes and their applications

IS - 2

ER -

Some recent results in infinite divisibility

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