Estimation of δ= P ( X > Y ) for Burr XII distribution based on the progressively first failure-censored samples

Y. L. Lio and Tzong-Ru Tsai

Journal of Applied Statistics, 2012, vol. 39, issue 2, 309-322

Abstract: Let X and Y have two-parameter Burr XII distributions. The maximum-likelihood estimator of δ= P ( X > Y ) is studied under the progressively first failure-censored samples. Three confidence intervals of δ are constructed by using an asymptotic distribution of the maximum-likelihood estimator of δ and two bootstrapping procedures, respectively. Some computational results from intensive simulations are presented. An illustrative example is provided to demonstrate the application of the proposed method.

Date: 2012
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DOI: 10.1080/02664763.2011.586684

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