Time-truncated attribute sampling plans using EWMA for Weibull and Burr type X distributions

被引:11
作者
Aslam, Muhammad [1 ]
Balamurali, S. [2 ]
Jun, Chi-Hyuck [3 ]
Meer, Aneela [4 ]
机构
[1] King Abdulaziz Univ, Dept Stat, Fac Sci, Jeddah 21551, Saudi Arabia
[2] Kalasalingam Univ, Dept Math, Krishnankoil, Tamil Nadu, India
[3] POSTECH, Dept Ind & Management Engn, Pohang, South Korea
[4] Kinnaird Coll Women, Dept Stat, Lahore, Pakistan
关键词
Exponentially weighted moving average; truncated life test; Burr X distribution; Weibull distribution; LIFE-TEST;
D O I
10.1080/03610918.2015.1105977
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Acceptance sampling, widely used in various production industries, is a very vital tool of quality control. In this paper, a new attribute acceptance-sampling plan is developed based on the exponentially weighted moving average statistic under a time-truncated life test when the product lifetime follows the Weibull distribution or the Burr type X distribution. The performance measures such as the probability of acceptance and the average sample number are derived. Tables are constructed for the selection of optimal parameters of the proposed sampling plan so as to minimize the average sample number satisfying the producer's and the consumer's risks. Illustrative example is also given for the application of the proposed plan. It is also shown that the proposed plan requires a smaller sample size compared to the single sampling plan.
引用
收藏
页码:4173 / 4184
页数:12
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