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
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
Journal title :
Insurance Mathematics and Economics
