AN APPROXIMATION OF THE CUMULATIVE BINOMIAL PROBABILITY DISTRIBUTION.
Abstract
The cumulative binomial distribution B(x;n,p) is the probability of x or less successes in n trials with p the probability of success in a single trial. There is no practical and concise procedure for calculating the B(x;n,p) for large values of n. There is no brief tabular presentation of the B(x;n,p) as there is for the cumulative Poisson and normal distributions. The cumulative binomial distribution is operationally defined, and the currently used approximations to it are discussed. An asymptotic expansion of the distribution of a sample sum is used to produce an approximation of the cumulative binomial probability distribution with the desired accuracy of three decimal places.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1964
- Accession Number
- AD0612117
Entities
People
- Jack M. Hamilton
Organizations
- Texas Tech University