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Asymptotic tail behaviour of Poisson mixtures by applications

Asymptotic tail behaviour of Poisson mixtures by applications <jats:p>This expository paper deals with the right tail behaviour of a class of Poisson mixtures. An Abelian-type result is obtained using basic theory of regular variation. Applications to compound distributions in insurance risk theory and queue length distributions under various queue disciplines in the case of Poisson arrivals are then discussed.</jats:p> http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Probability CrossRef

Asymptotic tail behaviour of Poisson mixtures by applications

Advances in Applied Probability , Volume 22 (1): 147-159 – Mar 1, 1990

Asymptotic tail behaviour of Poisson mixtures by applications


Abstract

<jats:p>This expository paper deals with the right tail behaviour of a class of Poisson mixtures. An Abelian-type result is obtained using basic theory of regular variation. Applications to compound distributions in insurance risk theory and queue length distributions under various queue disciplines in the case of Poisson arrivals are then discussed.</jats:p>

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Publisher
CrossRef
ISSN
0001-8678
DOI
10.2307/1427602
Publisher site
See Article on Publisher Site

Abstract

<jats:p>This expository paper deals with the right tail behaviour of a class of Poisson mixtures. An Abelian-type result is obtained using basic theory of regular variation. Applications to compound distributions in insurance risk theory and queue length distributions under various queue disciplines in the case of Poisson arrivals are then discussed.</jats:p>

Journal

Advances in Applied ProbabilityCrossRef

Published: Mar 1, 1990

References