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The Lifetime Performance Index of Power Lomax Distribution Based on Progressive First-Failure Censoring Scheme |
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PP: 333-341 |
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doi:10.18576/jsap/070210
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Author(s) |
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W. A. Hassanein,
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Abstract |
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| Evaluating the lifetime performance is a vital topic in manufacturing process. This paper is devoted to evaluate the lifetime
performance index CL for the three-parameter power Lomax distribution(POLO) under progressive first-failure type II right censoring
sample with respect to a lower specification limit (L). The statistical inference concerning CL is conducted via obtaining the maximum
likelihood of CL on the base of progressive first-failure censoring. The asymptotic normal distribution of the MLE of CL and the
confidence interval are proposed. Moreover, the hypothesis testing of CL for evaluating the lifetime performance of POLO data is
conducted. Providers can practice the innovative hypothesis testing to improve the process capability. Finally, two examples are given,
one of them considering a real life data of the number of revolutions before failure of a ball bearing in endurance lifetime test and the
other is a simulated example to illustrate the usage of the proposed procedure. |
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