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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/111755


    Title: Statistical inferences for the lifetime performance index of the products with the Gompertz distribution under censored samples
    Authors: Wu, C. C.;Chen L. C.;Chen Y. J.
    Keywords: Gompertz distribution;Lifetime performance index;Maximum likelihood estimator;Monte Carlo simulation;Progressively type II right censored sample
    Date: 2016-04
    Issue Date: 2017-09-27 02:10:15 (UTC+8)
    Abstract: Manufacturers often apply process capability indices in the quality control. This study constructs statistical analysis methods of assessing the lifetime performance index of Gompertz products under progressively type II right censored samples. The maximum likelihood estimator of the index is inferred by data transformation and then utilized to develop a hypothesis testing procedure and a confidence interval to assess product performance. We also give one example and some Monte Carlo simulations to assess the behavior of the testing procedure and confidence interval. The results show that our proposed method can effectively evaluate whether the lifetime of products meet the requirement.
    Relation: Communications in Statistics - Simulation and Computation 45(4), p.1318-1336
    DOI: 10.1080/03610918.2013.827710
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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