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ArticleOriginal scientific text

Title

Selective lack-of-memory and its application

Authors 1

Affiliations

  1. Institute of Mathematics, University of Rzeszów, Rejtana 16 A, PL-35-959 Rzeszów, Poland

Abstract

We say that a random variable X taking nonnegative integers has selective lack-of-memory (SLM) property with selector s if P(X ≥ n + s/X ≥ n) = P(X ≥ s) for n = 0,1,.... This property is characterized in an elementary manner by probabilities pₙ = P(X=n). An application in car insurance is presented.

Keywords

ENG
discrete distribution, lack-of-memory, selective lack-of-memory, car insurance

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Discussiones Mathematicae Probability and Statistics
2009/29/1
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Pages:
31-39
Main language of publication
English
Received
2009-02-14
Published
2009

DOI: 10.7151/dmps.1105

Exact and natural sciences