Accession Number:

ADA196623

Title:

Bayesian Estimation of n in a Binomial Distribution

Descriptive Note:

Final rept.

Corporate Author:

CENTER FOR NAVAL ANALYSES ALEXANDRIA VA STRIKE AND AMPHIBIOUS WARFARE RESEARCH DEPT

Report Date:

1987-10-01

Pagination or Media Count:

27.0

Abstract:

Let X Sub 1,X Sub 2,...,X, be a random sample of size r from a binomial distribution bn, p. Let x Sub 1,x Sub 2,...,x Sub r, be r-observed success counts. A method has been developed to estimate the total number of trials n from a Bayesian perspective when the probability of success p is either known or unknown. The prior distribution for n is assumed to be the discrete uniform distribution. In the case when p is unknown, p is assumed to have a beta prior distribution. The estimate for n is then the mode of the posterior distribution. Additionally, guidelines for selecting shape parameters for the beta distributions are discussed.

Subject Categories:

  • Statistics and Probability
  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE