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A new concept for count distributions

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  • Hagmark, Per-Erik

Abstract

A new concept, called silhouette, and the related parameterization are introduced and studied. Applications show how to extend maximally the mean-variance domain of a count distribution, and how to construct a single variable for any mean-variance and any requirements on distribution shape.

Suggested Citation

  • Hagmark, Per-Erik, 2009. "A new concept for count distributions," Statistics & Probability Letters, Elsevier, vol. 79(8), pages 1120-1124, April.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:8:p:1120-1124
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    References listed on IDEAS

    as
    1. Hagmark, Per-Erik, 2008. "On construction and simulation of count data models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 72-80.
    2. Winkelmann, Rainer, 1995. "Duration Dependence and Dispersion in Count-Data Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(4), pages 467-474, October.
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    Cited by:

    1. Chénangnon Frédéric Tovissodé & Sèwanou Hermann Honfo & Jonas Têlé Doumatè & Romain Glèlè Kakaï, 2021. "On the Discretization of Continuous Probability Distributions Using a Probabilistic Rounding Mechanism," Mathematics, MDPI, vol. 9(5), pages 1-17, March.
    2. Christian H. Weiß, 2013. "Integer-valued autoregressive models for counts showing underdispersion," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(9), pages 1931-1948, September.

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