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Some characterizations of discrete unimodality

Author

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  • Bertin, Emile M. J.
  • Theodorescu, Radu

Abstract

Let F be a discrete distribution function on . This paper gives a characterization of discrete unimodal distribution functions (Theorem 5.1) and a representation theorem for those distribution functions (Theorem 6.3), both in terms of their Lévy concentration functions.

Suggested Citation

  • Bertin, Emile M. J. & Theodorescu, Radu, 1984. "Some characterizations of discrete unimodality," Statistics & Probability Letters, Elsevier, vol. 2(1), pages 23-30, January.
    • Handle: RePEc:eee:stapro:v:2:y:1984:i:1:p:23-30
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    Citations

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    Cited by:

    1. Sharon Navard & John Seaman & Dean Young, 1993. "A characterization of discrete unimodality with applications to variance upper bounds," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(4), pages 603-614, December.
    2. Ebrahimi, Nader, 2009. "Bayesian framework for prediction of future number of failures from a single group of units in the field," Reliability Engineering and System Safety, Elsevier, vol. 94(3), pages 773-775.

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