Interval Estimation for the Two-Parameter Exponential Distribution under Progressive Type II Censoring on the Bayesian Approach

Autor:	Shu-Fei Wu
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	progressive type II censored sample two-parameter exponential distribution Bayesian estimation interval estimation credible intervals credible regions Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 4, p 808 (2022)
Druh dokumentu:	article
ISSN:	14040808 2073-8994
DOI:	10.3390/sym14040808
Popis:	Under progressive type II censoring, the credible interval estimation and the credible region for parameters of two-parameter exponential distribution based on the Bayesian approach are presented in this paper. Two methods of Bayesian credible region are proposed under a given confidence level. We also presented the predictive interval of the future observation under this type of censoring. In order to compare the performance of our proposed Bayesian credible interval and region with the existing non-Bayesian methods, we conduct a simulation study by the Monte Carlo method to find the corresponding coverage probabilities. This research is related to the topic of asymmetrical probability distributions and applications across disciplines. Finally, one engineering example is used to demonstrate the Bayesian credible interval estimation methods proposed in this paper.
Databáze:	Directory of Open Access Journals
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