A characterization of the geometric distribution related to random sums

Boyan Dimitrov, Zainab Khalil, J. P. Dion

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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 languageAmerican English
JournalCommunications in Statistics. Stochastic Models
Volume7
DOIs
StatePublished - Apr 20 1990

Disciplines

  • Mathematics

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