Inference of δ = P(X < Y) for Burr XII distributions with record samples

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 987654321/113686

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題名:	Inference of δ = P(X < Y) for Burr XII distributions with record samples
作者:	Jyun-You Chiang;Nan Jiang;Tzong-Ru Tsai;Y. L. Lio
關鍵詞:	Bootstrap-t method;Fisher information;Log-logistic distribution;Maximum likelihood estimation;Percentile bootstrap method
日期:	2017-06-14
上傳時間:	2018-06-14 12:10:29 (UTC+8)
摘要:	Let X and Y follow independent Burr type XII distributions, which share a common inner shape parameter. The maximum likelihood estimator of the parameter δ = P(X < Y) is studied based on record samples. The existence and uniqueness of the maximum likelihood estimator of δ based on record samples are established. When the inner shape parameter is known, an exact confidence interval of δ is derived; otherwise, the Fisher information matrix and two bootstrap methods are used to obtain three approximate confidence intervals of δ. The performances of the proposed methods are evaluated via Monte Carlo simulation. Two examples are provided for illustration.
關聯:	Communications in Statistics - Simulation and Computation 47(3), p.822-838
DOI:	10.1080/03610918.2017.1295150
顯示於類別:	[統計學系暨研究所] 期刊論文

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