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A characterization of the negative binomial distribution via [alpha]-monotonicity

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  • Sapatinas, Theofanis

Abstract

We obtain a characterization of the negative binomial distribution by using arguments based on power-series families of distributions for [alpha]-monotone random variables.

Suggested Citation

  • Sapatinas, Theofanis, 1999. "A characterization of the negative binomial distribution via [alpha]-monotonicity," Statistics & Probability Letters, Elsevier, vol. 45(1), pages 49-53, October.
    • Handle: RePEc:eee:stapro:v:45:y:1999:i:1:p:49-53
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    References listed on IDEAS

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    1. van Harn, K. & Steutel, F.W., 1993. "Stability equations for processes with stationary independent increments using branching processes and Poisson mixtures," Stochastic Processes and their Applications, Elsevier, vol. 45(2), pages 209-230, April.
    2. Sapatinas, Theofanis, 1995. "Characterizations of probability distributions based on discrete p-monotonicity," Statistics & Probability Letters, Elsevier, vol. 24(4), pages 339-344, September.
    3. Pakes, Anthony G., 1995. "Characterization of discrete laws via mixed sums and Markov branching processes," Stochastic Processes and their Applications, Elsevier, vol. 55(2), pages 285-300, February.
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