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Some results on discrete [alpha]-unimodality

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  • Mashhour, A. F.

Abstract

A generalized discrete unimodality is called an [alpha]-unimodality where the index [alpha] gives a measure of the unimodality property. Different properties of the unimodality index and its relation to the modal values are explored. Preservation of [alpha]-unimodality under convolution, mixture and weak convergence are also investigated.

Suggested Citation

  • Mashhour, A. F., 1996. "Some results on discrete [alpha]-unimodality," Statistics & Probability Letters, Elsevier, vol. 27(1), pages 31-36, March.
    • Handle: RePEc:eee:stapro:v:27:y:1996:i:1:p:31-36
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    References listed on IDEAS

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    1. 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.
    2. Abouammoh, A. M. & Mashhour, A. F., 1994. "Variance upper bounds and convolutions of [alpha]-unimodal distributions," Statistics & Probability Letters, Elsevier, vol. 21(4), pages 281-289, November.
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