Abstract
Several new methods of confidence and of asymptotically confidence limits in the dposterior approach is proposed. For the so-called reliable two-sided intervals, close in construction to Bayesian intervals, the method of constructing the narrowest intervals is given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. N. Volodin and S. V. Simushkin, “Confidence estimation in the d-posterior approach,” Theory Probab. Appl. 35, 318–329 (1990).
I. N. Volodin and S. V. Simushkin, “On d-posterior approach to the problem of statistical inference,” in Proceedings of the 3rd International Vilnius Conference on Probability Theory and Mathematical Statistics, Vilnius, 1981, Vol.1.
S. V. Simushkin, “Optimal d-guaranteed procedures for discrimination of two hypotheses,” Available from VINITI AN SSSR, No. 5547-81 (1981).
I. N. Volodin and S. V. Simushkin, “D-Posterior concept of p-value,” Math. Methods Stat. 13, 108–121 (2004).
A. W. van der Vaart, Asymptotic Statistic (Cambridge Univ. Press, Cambridge, 1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
(Submitted by A. I. Volodin)
Rights and permissions
About this article
Cite this article
Simushkin, S.V. Confidence Bounds and Narrowest Reliable Intervals in D-Posterior Approach. Lobachevskii J Math 39, 388–397 (2018). https://doi.org/10.1134/S1995080218030186
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1995080218030186