Summary
A family of generalised negative binomial distributions is employed to investigate inference robustness of the Bayes estimator of the unknown parameter of the binomial distribution. A zone of sensitivity for the test of significance is constructed to forewarn the pro-Jeffreys Bayesians against indiscriminate choice of the probability in favour of the null hypothesis. A few selected tables are presented to illustrate the effect of relaxation of the ‘binomiality’ assumption.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bansal, Ashok K. (1979). Effect of nonnormality on Bayes decision function for testing normal mean,J. Korean Statist. Soc.,8, 15–21.
Bansal, Ashok K. (1980). The behaviour of Bayes decision for normal mean under nonstandard prior: Unknown precision,Statistical Climatology, Developments in Atmospheric Science, 13, Elsevier Scientific Publishing Company, 85–98.
Jain, G. C. and Consul, P. C. (1971). A generalised negative binomial distribution,SIAM J. Appl. Math.,21, 501–513.
Jeffreys, Harold (1961).Theory of Probability, Oxford University Press.
Author information
Authors and Affiliations
About this article
Cite this article
Bansal, A.K. Sensitivity of Bayes decisions for the success probability for samples from a nonbinomial population. Ann Inst Stat Math 34, 143–149 (1982). https://doi.org/10.1007/BF02481016
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02481016