Group acceptance sampling plans for lifetimes following an odds exponential log logistic distribution
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Institute of Applied Statistics, Sri Lanka
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Full text article. Also available at http://doi.org/10.4038/sljastats.v17i3.7903
A group acceptance sampling plan is developed for odds exponential log logistic distribution (OELLD) based on truncated lifetime with a known shape parameter. At a specified level of consumer risk and at the predefined test termination time, we derived the minimum number of groups required for a given group size and the acceptance number using the two-point approach by satisfying the producer’s and the consumer’s risks at the specified quality levels, while the termination time and the number of testers are specified. The values of operating characteristic (OC) function according to various quality levels are derived and the minimum ratios of true average life to the specified life for given producer’s risk are obtained. The results are illustrated with real lifetime data set.
A group acceptance sampling plan is developed for odds exponential log logistic distribution (OELLD) based on truncated lifetime with a known shape parameter. At a specified level of consumer risk and at the predefined test termination time, we derived the minimum number of groups required for a given group size and the acceptance number using the two-point approach by satisfying the producer’s and the consumer’s risks at the specified quality levels, while the termination time and the number of testers are specified. The values of operating characteristic (OC) function according to various quality levels are derived and the minimum ratios of true average life to the specified life for given producer’s risk are obtained. The results are illustrated with real lifetime data set.
Keywords
Odds exponential log, Logistic distribution, Truncated life test, Group acceptance sampling plan, Producer’s risk, Consumer’s risks