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On discrete α‐unimodal distributions

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  • M. H. Alamatsaz

Abstract

Some characterizations of a‐unimodal lattice distributions, introduced in Abouammoh (1987,19881, and a‐monotone lattice distributions, introduced in Steutel (1988), are discussed. Convolution and symmetrization of a‐monotone lattice distributions are also investigated. The characterizations and convolution properties obtained by Abouammoh in this connection are corrected and improved.

Suggested Citation

  • M. H. Alamatsaz, 1993. "On discrete α‐unimodal distributions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 47(4), pages 245-252, December.
    • Handle: RePEc:bla:stanee:v:47:y:1993:i:4:p:245-252
    DOI: 10.1111/j.1467-9574.1993.tb01421.x
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    Cited by:

    1. 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.
    2. Mashhour, A. F., 1996. "Some results on discrete [alpha]-unimodality," Statistics & Probability Letters, Elsevier, vol. 27(1), pages 31-36, March.
    3. Emad-Eldin Aly & Nadjib Bouzar, 2002. "A Notion of α-Monotonicity with Generalized Multiplications," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(1), pages 125-137, March.

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