Abstract
This article describes the development of an acceptance sampling plan based on percentiles for Type-II generalized log-logistic distribution (TGLLD) introduced by Rosaiah et. al. [1]. The plan is developed by considering the lifetime percentiles as a variable and the life test will be terminated at a pre-specified time. The objective of the test is to determine the minimum sample size required to achieve a specific lifetime percentile at an acceptable level of consumer and producer risks. Determined the OC values and are presented along with producer risks. The sustainability of the plan is illustrated with real data set.
Highlights
In Statistical quality control, acceptance sampling plan has proven its importance and finds its existence in many industry sectors
Developing acceptance sampling plans based on percentiles (ASPP) of a life time distribution can be treated as a generalization of developing acceptance sampling plans based on the mean lifetime of products
The aim of the present study is to develop an ASPP for lot when the lifetime of a product follows Type-II generalized log logistic distribution (TGLLD)
Summary
In Statistical quality control, acceptance sampling plan has proven its importance and finds its existence in many industry sectors. A small decrease in the mean with a simultaneous small increase in the variance can result in a significant downward shift in a small percentile of interest This means that a lot of products could be American Journal of Applied Mathematics and Statistics accepted due to a small decrease in the mean life time after inspection. Developing acceptance sampling plans based on percentiles (ASPP) of a life time distribution can be treated as a generalization of developing acceptance sampling plans based on the mean lifetime of products.
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