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Characterization of discrete laws via mixed sums and Markov branching processes

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  • Pakes, Anthony G.

Abstract

Let (Zt) be a subordinator independent of 0

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  • 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.
    • Handle: RePEc:eee:spapps:v:55:y:1995:i:2:p:285-300
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    References listed on IDEAS

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    1. Anthony Pakes, 1994. "Necessary conditions for characterization of laws via mixed sums," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(4), pages 797-802, December.
    2. Devroye, Luc, 1990. "A note on linnik's distribution," Statistics & Probability Letters, Elsevier, vol. 9(4), pages 305-306, April.
    3. A.G. Pakes, 1992. "A characterization of gamma mixtures of stable laws motivated by limit theorems," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 46(2‐3), pages 209-218, July.
    4. 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.
    5. R. Pillai, 1990. "On Mittag-Leffler functions and related distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(1), pages 157-161, March.
    6. Devroye, Luc, 1993. "A triptych of discrete distributions related to the stable law," Statistics & Probability Letters, Elsevier, vol. 18(5), pages 349-351, December.
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    Cited by:

    1. Ludwig Baringhaus & Rudolf Grübel, 1997. "On a Class of Characterization Problems for Random Convex Combinations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(3), pages 555-567, September.
    2. Tomasz J. Kozubowski & Krzysztof Podgórski, 2018. "A generalized Sibuya distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(4), pages 855-887, August.
    3. Buddana Amrutha & Kozubowski Tomasz J., 2014. "Discrete Pareto Distributions," Stochastics and Quality Control, De Gruyter, vol. 29(2), pages 143-156, December.
    4. Lucio Barabesi & Carolina Becatti & Marzia Marcheselli, 2018. "The Tempered Discrete Linnik distribution," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 27(1), pages 45-68, March.
    5. Rémillard Bruno & Theodorescu Radu, 2000. "Inference Based On The Empirical Probability Generating Function For Mixtures Of Poisson Distributions," Statistics & Risk Modeling, De Gruyter, vol. 18(4), pages 349-366, April.
    6. Lucio Barabesi & Luca Pratelli, 2014. "Discussion of “On simulation and properties of the stable law” by L. Devroye and L. James," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(3), pages 345-351, August.
    7. Christoph, Gerd & Schreiber, Karina, 2000. "Scaled Sibuya distribution and discrete self-decomposability," Statistics & Probability Letters, Elsevier, vol. 48(2), pages 181-187, June.
    8. Emad-Eldin Aly & Nadjib Bouzar, 2003. "On discrete α-unimodality," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(3), pages 523-535, September.
    9. Sapatinas, Theofanis, 1999. "A characterization of the negative binomial distribution via [alpha]-monotonicity," Statistics & Probability Letters, Elsevier, vol. 45(1), pages 49-53, October.

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