Design of a time-truncated double sampling plan for a general life distribution |
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Authors: | M. Aslam C.-H. Jun M. Ahmad |
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Affiliation: | 1. Department of Statistics , National College of Business Administration and Economics , Lahore , Pakistan;2. Department of Industrial and Management Engineering , POSTECH , Pohang , Republic of Korea |
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Abstract: | A double sampling plan based on truncated life tests is proposed and designed under a general life distribution. The design parameters such as sample sizes and acceptance numbers for the first and the second samples are determined so as to minimize the average sample number subject to satisfying the consumer's and producer's risks at the respectively specified quality levels. The resultant tables can be used regardless of the underlying distribution as long as the reliability requirements are specified at two risks. In addition, Gamma and Weibull distributions are particularly considered to report the design parameters according to the quality levels in terms of the mean ratios. |
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Keywords: | acceptance probability average sample number consumer's risk life distribution life test producer's risk |
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