Selective lack-of-memory and its application

Czesław Stępniak

Discussiones Mathematicae Probability and Statistics (2009)

  • Volume: 29, Issue: 1, page 31-39
  • ISSN: 1509-9423

Abstract

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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.

How to cite

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Czesław Stępniak. "Selective lack-of-memory and its application." Discussiones Mathematicae Probability and Statistics 29.1 (2009): 31-39. <http://eudml.org/doc/277056>.

@article{CzesławStępniak2009,
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.},
author = {Czesław Stępniak},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {discrete distribution; lack-of-memory; selective lack-of-memory; car insurance},
language = {eng},
number = {1},
pages = {31-39},
title = {Selective lack-of-memory and its application},
url = {http://eudml.org/doc/277056},
volume = {29},
year = {2009},
}

TY - JOUR
AU - Czesław Stępniak
TI - Selective lack-of-memory and its application
JO - Discussiones Mathematicae Probability and Statistics
PY - 2009
VL - 29
IS - 1
SP - 31
EP - 39
AB - 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.
LA - eng
KW - discrete distribution; lack-of-memory; selective lack-of-memory; car insurance
UR - http://eudml.org/doc/277056
ER -

References

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