Some characterizations of the Poisson process and geometric renewal process

DOI10.2307/3214626zbMath0768.60042OpenAlexW2321087160MaRDI QIDQ5286001

Shun-Hwa Li, Jyh-Cherng Su, Wen-Jang Huang

Publication date: 29 June 1993

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214626

zbMATH Keywords

exponential distributionPoisson processgeometric distributionmixed renewal processdelayed Poisson process

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Renewal theory (60K05)

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Characterizations of the Poisson process as a renewal process via two conditional moments, Another characterization of homogeneous Poisson processes, Characterizations of the geometric distribution via residual lifetime, Characterizations based on conditional expectations