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Estimation problems for the two-parameter negative binomial distribution

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  • Wang, Yining

Abstract

This note shows a major problem in the proof of Anscombe's conjecture given in Aragon et al. (1992). It also proves that the unbiased estimator of the parameter k does not exist.

Suggested Citation

  • Wang, Yining, 1996. "Estimation problems for the two-parameter negative binomial distribution," Statistics & Probability Letters, Elsevier, vol. 26(2), pages 113-114, February.
    • Handle: RePEc:eee:stapro:v:26:y:1996:i:2:p:113-114
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    References listed on IDEAS

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    1. L. Willson & J. Folks & J. Young, 1986. "Complete sufficiency and maximum likelihood estimation for the two-parameter negative binomial distribution," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 33(1), pages 349-362, December.
    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. Bandara, Udika & Gill, Ryan & Mitra, Riten, 2019. "On computing maximum likelihood estimates for the negative binomial distribution," Statistics & Probability Letters, Elsevier, vol. 148(C), pages 54-58.

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