Binomial approximation to hypergeometric probabilities

Journal of Statistical Planning and Inference

Volumn 87, Issue 1, 2000, Pages 21-29

  Lopez Blazquez F ^a   Miño, B Salamanca ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

62E17; Approximation of distributions; Binomial distribution; Hypergeometric distribution; Krawtchouck's polynomials; Orthogonal expansions

Indexed keywords

EID: 0042784960     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(99)00187-1     Document Type: Article

References (7)

1. Bennet, W.S., 1965. A new binomial approximation for cumulative hypergeometric probabilities. Ph.D. Thesis, American University, Washington, DC.
2. Burr I.W. Some approximate relations between terms of the hypergeometric, binomial and Poisson distributions. Comm. Statist. 1(4):1973;297-301.
3. Chihara, T., 1978. An Introduction to Orthogonal Polynomials. Gordon & Breach, New York.
4. Hotelling H., Frankel L.R. The transformation of statistics to simplify their distributions. Ann. Math. Statist. 9:1938;87-96.
5. Johnson, N.L., Kotz, S., Kemp, A.W., 1992. Univariate Discrete Distributions, 2nd Edition. Wiley, New York.
6. Ord J.K. Approximations to distribution functions which are hypergeometric series. Biometrika. 55(1):1968;243-248.
7. Wasow, W., 1956. On the asymptotic transformation of certain distributions into the normal distribution. Proceedings of the Sixth Symposium on Applied Mathmatics Society (Numerical Analysis), Vol. VI. McGraw Hill, New York, pp. 251-259.