A characterization of the geometric distribution related to random sums

Boyan Dimitrov; Zainab Khalil; J. P. Dion

doi:10.1080/15326349108807192

A characterization of the geometric distribution related to random sums

Boyan Dimitrov
, Zainab Khalil
, J. P. Dion

Kettering University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we consider the sum Z of randomly truncated non-negative integer-valued random variables, where the summation index depends on the truncating process. We derive properties of the variable Z. These are closely related to some new properties of the geometric distribution and in fact provide an another characterization of the geometric law.

Original language	American English
Journal	Communications in Statistics. Stochastic Models
Volume	7
DOIs	https://doi.org/10.1080/15326349108807192
State	Published - Apr 20 1990

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Mathematics

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title = "A characterization of the geometric distribution related to random sums",

abstract = " In this paper, we consider the sum Z of randomly truncated non-negative integer-valued random variables, where the summation index depends on the truncating process. We derive properties of the variable Z. These are closely related to some new properties of the geometric distribution and in fact provide an another characterization of the geometric law. ",

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AU - Khalil, Zainab

AU - Dion, J. P.

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PY - 1990/4/20

Y1 - 1990/4/20

N2 - In this paper, we consider the sum Z of randomly truncated non-negative integer-valued random variables, where the summation index depends on the truncating process. We derive properties of the variable Z. These are closely related to some new properties of the geometric distribution and in fact provide an another characterization of the geometric law.

AB - In this paper, we consider the sum Z of randomly truncated non-negative integer-valued random variables, where the summation index depends on the truncating process. We derive properties of the variable Z. These are closely related to some new properties of the geometric distribution and in fact provide an another characterization of the geometric law.

UR - https://www.tandfonline.com/doi/abs/10.1080/15326349108807192

U2 - 10.1080/15326349108807192

DO - 10.1080/15326349108807192

M3 - Article

VL - 7

JO - Communications in Statistics. Stochastic Models

JF - Communications in Statistics. Stochastic Models

ER -

A characterization of the geometric distribution related to random sums

Abstract

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