Compound geometric distribution of order \(k\)

DOI10.1007/s11009-016-9482-yzbMath1380.62064OpenAlexW2271512258MaRDI QIDQ2397955

Markos V. Koutras, Serkan N. Eryılmaz

Publication date: 14 August 2017

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-016-9482-y

zbMATH Keywords

phase-type distributiongeometric distribution of order \(k\)runscompound distributions

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05) Stopping times; optimal stopping problems; gambling theory (60G40)

Related Items (11)

A UNIFIED APPROACH TO GENERATING FUNCTIONS BASED ON BELL POLYNOMIALS ⋮ Binomial distribution of order \(k\) in a modified binary sequence ⋮ A family of induced distributions ⋮ On the modes of the negative binomial distribution of order k, type I ⋮ Assessment of shock models for a particular class of intershock time distributions ⋮ Consecutive dual failure mode shock systems ⋮ Distributions of \((k_1,k_2,\dots ,k_m)\)-runs with multi-state trials ⋮ Exact distribution of random order statistics and applications in risk management ⋮ Revisiting discrete time age replacement policy for phase-type lifetime distributions ⋮ Subordinated compound Poisson processes of order \(k\) ⋮ On bivariate compound sums

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