24
Views
7
CrossRef citations to date
0
Altmetric
Theory and Method

Small Sample Performance of Some Estimators of the Truncated Binomial Distribution

&
Pages 169-177 | Published online: 05 Apr 2012

References

  • Anscombe , F. J. 1948 . “Transformation of Poisson, Binomial and Negative-Binomial Data,” . Biometrika , 35 December : 246 – 54 .
  • Bailey , N. T. J. 1951 . “A Classification of Methods of Ascertainment and Analysis in Estimating the Frequencies of Recessives in Man,” . Annals of Eugenics , 16 ( No. 3 ) : 223 – 5 .
  • Bartlett , M. S. 1953 . “Approximate Confidence Intervals, Part I,” . Biometrika , 40 June : 12 – 19 .
  • Bratley , P. 1967 . “Algorithm 306, Permutations with Repetitions,” . Communications of the ACM , 10 July : 450 – 1 .
  • Cochran , W. G. 1963 . Sampling Techniques, , 2nd ed. , New York : John Wiley & Sons, Inc. .
  • Finney , D. J. 1949 . “The Truncated Binomial Distribution,” . Annals of Eugenics , 14 ( No. 4 ) : 319 – 28 .
  • Fisher , R. A. 1934 . “The Effect of Methods of Ascertainment on the Estimation of Frequencies,” . Annals of Eugenics , 6 ( No. 1 ) : 13 – 25 .
  • Gart , J. J. 1968 . “A Simple Nearly Efficient Alternative to the Simple Sib Method in the Complete Ascertainment Case,” . Annals of Human Genetics , 31 ( No. 3 ) : 283 – 91 .
  • Haenszel , W. 1959 . “Some Problems in the Estimation of Familial Risks of Disease,” . Journal of the National Cancer Institute , 23 September : 487 – 505 .
  • Haldane , J. B. S. 1938 . “The Estimation of the Frequency of Recessive Conditions in Man,” . Annals of Eugenics , 8 : 255 – 62 .
  • Haldane , J. B. S. 1951 . “A Class of Efficient Estimates of a Parameter,” . Bulletin of the International Statistical Institute , 33 : 231 – 48 .
  • Haldane , J. B. S. and Smith , S. M. 1956 . “The Sampling Distribution of a Maximum-Likelihood Estimate,” . Biometrika , 43 June : 96 – 103 .
  • Hansen , M. H. , Hurwitz , W. N. and Madow , W. G. 1953 . Sample Survey Methods and Theory, Vol. I Methods and Applications , New York : John Wiley & Sons, Inc. .
  • Kaelin , A. 1958 . “Estimation statistique de la fréquence des tarés en génétique Humaine,” . Journal de Génétique Humaine , 7 July : 67 – 91 . (October 1958), 121–42; (December 1958), 243–95
  • Kempthorne , O. 1957 . An Introduction to Genetic Statistics , New York : John Wiley & Sons, Inc. .
  • Li , C. C. and Mantel , N. 1968 . “A Simple Method of Estimating the Segregation Ratio under Complete Ascertainment,” . American Journal of Human Genetics , 20 January : 61 – 81 .
  • Mantel , N. 1951 . “Evaluation of a Class of Diagnostic Tests,” . Biometrics , 7 September : 240 – 6 .
  • McKusick , V. A. 1964 . “Dwarfism in the Amish, Part 1. The Ellis-van Creveld Syndrome,” . Bulletin of the Johns Hopkins Hospital , 115 October : 306 – 36 .
  • Moore , P. G. 1952 . “The Estimation of the Poisson Parameter from a Truncated Distribution,” . Biometrika , 39 June : 247 – 51 .
  • Moore , P. G. 1954 . “A Note on Truncated Poisson Distributions,” . Biometrics , 10 September : 402 – 6 .
  • Morton , N. E. 1959 . “Genetic Tests under Multiple Ascertainment,” . American Journal of Human Genetics , 11 March : 1 – 16 .
  • Murphy , E. A. 1965 . Abstract of “Estimation of the Parameter of a Binomial Distribution with Truncation of the Zero Class,” . Biometrics , 21 December : 1026 – 7 .
  • Patil , G. P. 1962 . “Maximum Likelihood Estimation for Generalized Power Series Distributions and Its Application to a Truncated Binomial Distribution,” . Biometrika , 49 June : 227 – 37 .
  • Plackett , R. L. 1953 . “The Truncated Poisson Distribution,” . Biometrics , 9 December : 485 – 8 .
  • Rao , C. R. 1952 . Advanced Statistical Methods in Biometric Research , New York : John Wiley & Sons, Inc. .
  • Rider , P. R. 1955 . “Truncated Binomial and Negative Binomial Distributions,” . Journal of the American Statistical Association , 50 December : 877 – 83 .
  • Shah , S. M. 1961 . “The Asymptotic Variance of the Method of Moments Estimates of the Parameters of the Truncated Binomial and Negative Binomial Distributions,” . Journal of the American Statistical Association , 56 December : 990 – 7 .
  • Shah , S. M. 1966 . “On Estimating the Parameter of a Doubly Truncated Binomial Distribution,” . Journal of the American Statistical Association , 61 March : 259 – 63 .
  • Shenton , L. R. 1959 . “The Distribution of Moment Estimators,” . Biometrika , 46 December : 296 – 305 .
  • Shenton , L. R. and Bowman , K. 1963 . “Higher Moments of a Maximum Likelihood Estimate,” . Journal of the Royal Statistical Society , 25 ( No. 2 ) : 305 – 17 . Series B
  • Smith , C. A. B. 1959 . “A Note on the Effect of Methods of Ascertainment on Segregation Ratios,” . Annals of Human Genetics , 23 ( No. 3 ) : 311 – 23 .
  • Subrahmaniam , K. 1965 . “A Note on Estimation in the Truncated Poisson,” . Biometrika , 52 June : 279 – 82 .
  • Tukey , J. W. 1949 . “Sufficiency, Truncation and Selection,” . The Annals of Mathematical Statistics , 20 June : 310 – 11 .
  • Wilks , S. S. 1962 . Mathematical Statistics , New York : John Wiley & Sons, Inc. .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.