Reliability inference for a multicomponent stress-strength model based on Kumaraswamy distribution

doi:10.1016/j.cam.2020.112823

淡江大學機構典藏 > 商管學院 > 統計學系暨研究所 > 期刊論文 > Item 987654321/118258

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題名:	Reliability inference for a multicomponent stress-strength model based on Kumaraswamy distribution
作者:	Liang Wang;Sanku Dey;Yogesh Mani Tripathi;Shuo-Jye Wu
關鍵詞:	Multicomponent stress–strength model;Kumaraswamy distribution;Maximum likelihood estimation;Generalized pivotal quantity;Asymptotic theory;Bootstrap interval
日期:	2020-10
上傳時間:	2020-03-12 12:10:54 (UTC+8)
摘要:	In this paper, inference for a multicomponent stress–strength (MSS) model is studied under censored data. When both latent strength and stress random variables follow Kumaraswamy distributions with common shape parameters, the maximum likelihood estimate of MSS reliability is established and associated approximate confidence interval is constructed using the asymptotic distribution theory and delta method. Moreover, pivotal quantities based generalized point and confidence interval estimates are presented for the MSS reliability. Furthermore, likelihood and generalized pivotal based estimates are also presented when the strength and stress variables have unequal shape parameters. For complementary and comparison, bootstrap confidence intervals are provided as well under common and unequal parameter cases. In addition, to compare the equivalence between strength and stress shape parameters, the likelihood ratio test for hypothesis of interest is also discussed. Finally, simulation study and a real data example are provided to investigate the performance of proposed procedures.
關聯:	Journal of Computational and Applied Mathematics 376, 112823
DOI:	10.1016/j.cam.2020.112823
顯示於類別:	[統計學系暨研究所] 期刊論文

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