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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/123291

    Title: Interval estimation for the two-parameter exponential distribution under progressive type II censoring on the Bayesian approach
    Authors: Wu, S. F.
    Keywords: progressive type II censored sample;two-parameter exponential distribution;Bayesian estimation;interval estimation;credible intervals;credible regions
    Date: 2022-04-13
    Issue Date: 2023-04-28 17:33:31 (UTC+8)
    Publisher: MDPI AG
    Abstract: 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.
    Relation: Symmetry 14(4), 808
    DOI: 10.3390/sym14040808
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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