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The Accuracy of Peizer Approximations to the Hypergeometric Distribution, with Comparisons to Some other Approximations

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Pages 49-60 | Received 01 Aug 1980, Published online: 12 Mar 2012

References

  • Bliss , C. I. 1967 . Statistics of Biology , Vol. 1 , New York : McGraw Hill .
  • Lieberman , Gerald J. and Owen , Donald B. 1961 . “Tables of the Hypergeometric Probability Distribution,” , Stanford University, Applied Mathematics and Statistics Laboratories . Technical Report No. 50
  • Ling , Robert F. 1978 . “A Study of the Accuracy of Some Approximations for t, χ2 F Tail Probabilities,” . Journal of the American Statistical Association , 73 : 274 – 283 .
  • Molenaar , W. 1970 . Approximations to the Poisson, Binomial and Hypergeometric Distribution Functions Amsterdam Mathematical Centre Tracts 31
  • Peizer , David B. 1968 . “Approximating the Continuous Hypergeometric Distribution Function,” unpublished manuscript
  • Peizer , David B. and Pratt , John W. 1968 . “A Normal Approximation for Binomial, F, Beta and Other Common, Related Tail Probabilities, I,” . Journal of the American Statistical Association , 63 : 1416 – 1456 .
  • Pratt , John W. 1968 . “A Normal Approximation for Binomial, F, Beta and Other Common, Related Tail Probabilities, II,” . Journal of the American Statistical Association , 63 : 1457 – 1483 .
  • Wise , M. E. 1954 . “A Quickly Convergent Expansion for Cumulative Hypergeometric Probabilities, Direct and Inverse,” . Biometrika , 41 : 317 – 329 .

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