Joint estimation for the parameters of Weibull distribution |
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| Institution: | 1. Department of Social Management Engineering, Tottori University, Minami 4-101, Koyama, Tottori-shi, 680–8552, Japan;2. Department of Business Administration, Aichi Institute of Technology, 1247 Yachigusa, Yagusa-cho, Toyota, Aichi, 470–0392, Japan;1. Department of Industrial Engineering, Chosun University, Gwangju, Republic of Korea;2. Department of Industrial Engineering, Hanyang University, Seoul, Republic of Korea;1. School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China;2. Science and Technology on Reliability and Environmental Engineering Laboratory, Beijing 100191, China;3. Yunnan Innovation Institute, Beihang University, Kunming 650233, China |
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| Abstract: | This paper discusses exact joint confidence region for the shape parameter β and scale parameter η of the two-parameter Weibull distribution. As an application, the joint confidence region is used to obtain a conservative lower confidence bound for the reliability function. The method can be used for both complete and censored samples. |
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