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On the ML-estimator of the positive and negative two-parameter binomial distribution

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  • Ferreri, Carlo

Abstract

Conditions of existence and uniqueness of the maximum likelihood estimator are discussed for a two-parameter hyperbinomial distribution linking the positive binomial distribution with the negative binomial distribution in terms of a real non-poissonian dispersion parameter.

Suggested Citation

  • Ferreri, Carlo, 1997. "On the ML-estimator of the positive and negative two-parameter binomial distribution," Statistics & Probability Letters, Elsevier, vol. 33(2), pages 129-134, April.
    • Handle: RePEc:eee:stapro:v:33:y:1997:i:2:p:129-134
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    References listed on IDEAS

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    1. DeRiggi, Dennis, 1994. "Sufficient conditions for unimodality of the positive binomial likelihood function," Statistics & Probability Letters, Elsevier, vol. 19(1), pages 1-4, January.
    2. Aragón, Jorge & Eberly, David & Eberly, Shelly, 1992. "Existence and uniqueness of the maximum likelihood estimator for the two-parameter negative binomial distribution," Statistics & Probability Letters, Elsevier, vol. 15(5), pages 375-379, December.
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    Cited by:

    1. Shilane David & Evans Steven N & Hubbard Alan E., 2010. "Confidence Intervals for Negative Binomial Random Variables of High Dispersion," The International Journal of Biostatistics, De Gruyter, vol. 6(1), pages 1-41, March.

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