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Journal of the American Statistical Association Volume 78, 1983 - Issue 381
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Theory & Method

Unimodality of Likelihood Functions for the Binomial Distribution

Dennis F. Deriggi System Planning Corporation, Arlington, VA, 22209, USA
Pages 181-183 | Received 01 Dec 1981, Published online: 12 Mar 2012

References

  • Binet , F. E. 1954 . “The Fitting of the Positive Binomial Distribution When Both Parameters are Estimated From the Sample,” . Annals of Eugenics , 18 : 117 – 119 .
  • Blumenthal , S. 1967 . “Limit Theorems for Functions of Shortest 2 Sample Spacings and a Related Test,” . Annals of Mathematical Statistics , 38 : 108 – 116 .
  • Fisher , R. A. 1941 . “The Negative Binomial Distribution,” . Annals of Eugenics , 11 : 182 – 187 .
  • Haldane , J. B. 1941 . “The Fitting of Binomial Distributions,” . Annals of Eugenics , 11 : 179 – 181 .
  • Hoel , P. G. 1947 . “Discriminating Between Binomial Distributions,” . Annals of Mathematical Statistics , 18 : 556 – 564 .
  • Levin , B. and Reeds , J. 1977 . “Compound Multinomial Likelihood Functions are Unimodal: Proof of a Conjecture of I.J. Good,” . Annals of Statistics , 5 : 79 – 87 .
  • Olkin , I. , Petkau , J. and Zidek , J. 1981 . “A Comparison of n-Estimators for the Binomial Distribution,” . Journal of the American Statistical Association , 76 : 637 – 642 .
  • Student . 1918 . “An Explanation of Deviations From Poisson's Law in Practice,” . Biometrika , 12 : 211 – 215 .

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