Control charts for generalized exponential distribution percentiles |
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| Authors: | Jyun-You Chiang Nan Jiang Trenton N Brown Tzong-Ru Tsai |
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| Institution: | 1. School of Statistics, Southwestern University of Finance and Economics, Chengdu, China;2. Department of Mathematical Sciences, University of South Dakota, Vermillion, SD, USA;3. Department of Statistics, Tamkang University, New Taipei City, Taiwan |
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| Abstract: | The generalized exponential (GE) distribution, which was introduced by Mudholkar and Srivastava in 1993 Mudholkar, G. S., Srivastava, D. K. (1993). Exponentiated Weibull family for analyzing bathtub failure data. IEEE Transactions on Reliability 42:299–302. Google Scholar], has been studied for various applications of lifetime modelings. In this article, five control charts, that comprise the Shewhart-type chart and four parametric bootstrap charts based on maximum likelihood estimation method, the moment estimation method, probability plot method, and least-square error method for the GE percentiles, are investigated. An extensive Monte Carlo simulation study is conducted to compare the performance among all five control charts in terms of average run length. Finally, an example is given for illustration. |
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| Keywords: | Average run length Control charts False alarm rate Parametric bootstrap methods Percentile Shewhart-type chart |
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