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Journal of the American Statistical Association Volume 74, 1979 - Issue 368
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Theory and Method

A Comparison of Some Approximate Confidence Intervals for the Binomial Parameter

B. K. Ghosh Department of Mathematics, Lehigh University, Bethlehem, PA, 18015, USA; Department of Statistics, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA
Pages 894-900 | Published online: 05 Apr 2012

References

  • Aiken , H. 1955 . Tables of the Cumulative Binomial Probability Distribution , Cambridge , Mass. : Harvard University Press .
  • Anderson , T. W. and Burstein , H. 1967 . “Approximating the Upper Binomial Confidence Limit” . Journal of the American Statistical Association , 62 : 857 – 861 .
  • Anderson , T. W. and Burstein , H. 1968 . “Approximating the Lower Binomial Confidence Limit” . Journal of the American Statistical Association , 63 : 1413 – 1415 .
  • Anderson , T. W. and Samuels , S. M. “Some Inequalities Among Binomial and Poisson Distributions” . Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability . Vol. 1 , pp. 1 – 12 .
  • Bahadur , R. R. 1960 . “Some Approximations to the Binomial Distribution Function” . Annals of Mathematical Statistics , 31 : 43 – 54 .
  • Clopper , C. J. and Pearson , E. S. 1934 . “The Use of Confidence or Fiducial Limits Illustrated in the Case of the Binomial” . Biometrika , 26 : 404 – 413 .
  • Clunies-Ross , C. W. 1958 . “Interval Estimation for the Parameter of Binomial Distribution” . Biometrika , 45 : 275 – 279 .
  • Crow , E. L. 1956 . “Confidence Intervals for a Proportion” . Biometrika , 43 : 423 – 435 .
  • Eberhardt , K. R. and Fligner , M. A. 1977 . “A Comparison of Two Tests for Equality of Two Proportions” . The American Statistician , 31 : 151 – 155 .
  • Eudey , M. W. 1949 . “On the Treatment of Discontinuous Random Variables” , Berkeley : Statistical Laboratory, University of California . Technical Report No. 13
  • Feller , W. 1957 . An Introduction to Probability Theory and Its Applications , Vol. I , New York : John Wiley & Sons .
  • Hodges , J. L. and Lehmann , E. L. 1956 . “The Efficiency of Some Nonparametric Competitors of the t-Test” . Annals of Mathematical Statistics , 27 : 324 – 335 .
  • Johnson , N. L. and Kotz , S. 1969 . Distributions in Statistics: Discrete Distributions , Boston : Houghton Mifflin .
  • Kalinin , V. M. 1967 . “Convergent and Asymptotic Expansions for Probability Distributions” . Theory of Probability and Its Applications , 12 : 22 – 35 .
  • Noether , G. E. 1955 . “On a Theorem of Pitman” . Annals of Mathematical Statistics , 26 : 64 – 68 .
  • Robbins , H. 1977 . “A Fundamental Question of Practical Statistics” . The American Statistician , 31 : 97

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