On the exact distribution and mean value function of a geometric process with exponential interarrival times

DOI10.1016/J.SPL.2013.08.003zbMath1307.60120OpenAlexW2073649658MaRDI QIDQ2438513

Halil Aydoğdu, İhsan Karabulut, Elif Ṡen

Publication date: 5 March 2014

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2013.08.003

zbMATH Keywords

exponential distributionpower seriesWeibull distributiongeometric renewal function

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Probability distributions: general theory (60E05) Renewal theory (60K05)

Related Items (5)

Numerical solution to an integral equation for the kth moment function of a geometric process ⋮ Geometric Pólya-Aeppli process ⋮ An asymptotic solution of the integral equation for the second moment function in geometric processes ⋮ Power series expansions for the probability distribution, mean value and variance functions of a geometric process with gamma interarrival times ⋮ Computation of the mean value and variance functions in geometric process

Cites Work

• Geometric processes and replacement problem
• Numerical solution to an integral equation in geometric process
• Properties of the geometric and related processes
• Unnamed Item

This page was built for publication: On the exact distribution and mean value function of a geometric process with exponential interarrival times