Waiting time representation of discrete distributions

Tomasz J. Kozubowski, Dorota Młynarczyk and Anna K. Panorska

Statistics & Probability Letters, 2025, vol. 216, issue C

Abstract: We discuss a representation of any probability distribution on the set of non-negative integers as a waiting time distribution in a sequence of independent Bernoulli trials. Several associated results are derived and illustrated by examples. Multivariate extensions are briefly treated as well.

Keywords: Bivariate Bernoulli distribution; Discrete hazard rate; Distribution theory; Geometric distribution; Multivariate discrete distribution (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2024.110275

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