Title of article
The preservation of classes of discrete distributions under convolution and mixing
Author/Authors
Pavlova، نويسنده , , Kristina P. and Cai، نويسنده , , Jun and Willmot، نويسنده , , Gordon E.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
15
From page
391
To page
405
Abstract
In this paper we consider some widely utilized classes of discrete distributions and aim to provide a systematic overview about their preservation under convolution and mixing. Moreover, inclusion properties among these classes are discussed. This paper will serve as a detailed reference for the study and applications of the preservation of the classes of discrete distributions.
Keywords
Mixing , Discrete hazard rate , Discrete failure rate , Discrete mean residual lifetime , inclusion , Discrete equilibrium distribution , Preservation , Counting random variable , Discrete distribution , convolution , Zero-truncated discrete distribution
Journal title
Insurance Mathematics and Economics
Serial Year
2006
Journal title
Insurance Mathematics and Economics
Record number
1543040
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