A characterization of the gamma distribution by the negative binomial distribution

DOI10.2307/3213228zbMath0448.60012OpenAlexW2327327203MaRDI QIDQ3894707

Mynt Zijlstra, Jan Engel

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/3213228

zbMATH Keywords

moment problemexponential distributionnegative binomial distributionPoisson processgamma distributiongeometric distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Renewal theory (60K05)

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Some explicit formulas for mixed exponential service systems ⋮ The presence of exponentiality in entropy maximized M/GI/1 queues ⋮ Two characterisations of a gamma mixture distribution ⋮ Simulation of negative binomial processes ⋮ SERVICE LEVEL ANALYSIS OF (S - 1, S) INVENTORY POLICY FOR NEGATIVE BINOMIAL DISTRIBUTED FAILURES ⋮ On the Sums of Compound Negative Binomial and Gamma Random Variables ⋮ Power series distributions and their conjgates in stochastic modeling and baysian inference

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