Skip to main content
Log in

Search for the upper bound of Bayesian estimates of the parameter in an exponential failure model with two known quantiles of an a priori distribution function

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

A fast exact algorithm of searching for the upper bound of Bayesian estimates for the parameter of the exponential distribution under the condition that an a priori distribution belongs to the class of all distribution functions with two equal quantiles. This problem arises in analyzing the sensitivity of Bayesian estimates to the choice of an a priori distribution in an exponential failure model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. Vidakovic, “Gamma-minimax: A paradigm for conservative robust Bayesians,” Robustness of Bayesian Inference, Lect. Notes in Statist., 152, 241–259 (2000).

  2. A. N. Golodnikov, “The minimax approach to Bayesian estimation,” Issled. Oper., No. 7, 36–41 (1979).

  3. A. N. Golodnikov, “Search for the extremum of a linear functional in a class of distribution functions satisfying linear constraints of the inequality type,” Prepr. 79-13, IK AN UkrSSR, Kiev (1979).

    Google Scholar 

  4. A. N. Golodnikov and L. S. Stoikova, “Determination of the optimal preventive replacement period on the basis of information on the mathematical expectation and variance of the trouble-free system operation time,” Kibernetika, No. 3, 110–118 (1978).

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 90–102, January–February 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Golodnikov, A.N. Search for the upper bound of Bayesian estimates of the parameter in an exponential failure model with two known quantiles of an a priori distribution function. Cybern Syst Anal 43, 73–84 (2007). https://doi.org/10.1007/s10559-007-0027-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-007-0027-9

Keywords

Navigation