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On Approximating the Point Binomial
- Source :
- Journal of the American Statistical Association. 51:293-303
- Publication Year :
- 1956
- Publisher :
- Informa UK Limited, 1956.
-
Abstract
- This paper presents the results of a systematic numerical investigation of the comparative accuracy of several approximations to the cumulative binomial distribution. The approximations studied include the normal, arcsine, Poisson, and six others. Two of the little-known approximations were found to be extremely good: the Poisson Gram-Charlier when the probability p is fairly small, and the Camp-Paulson approximation almost everywhere.
- Subjects :
- Statistics and Probability
Binomial approximation
Poisson binomial distribution
Negative binomial distribution
Continuity correction
Poisson distribution
Negative multinomial distribution
Binomial distribution
Combinatorics
symbols.namesake
Compound Poisson distribution
symbols
Applied mathematics
Statistics, Probability and Uncertainty
Mathematics
Subjects
Details
- ISSN :
- 1537274X and 01621459
- Volume :
- 51
- Database :
- OpenAIRE
- Journal :
- Journal of the American Statistical Association
- Accession number :
- edsair.doi...........74ae1f30be86a842f0695b455e20d703