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Double and group acceptance sampling plan for truncated life test based on inverse log-logistic distribution

Harsh Tripathi, Sanku Dey, Mahendra Saha

2020Journal of Applied Statistics42 citationsDOIOpen Access PDF

Abstract

This paper introduces a double and group acceptance sampling plans based on time truncated lifetimes when the lifetime of an item follows the inverse log-logistic (ILL) distribution with known shape parameter. The operating characteristic function and average sample number (ASN) values of the double acceptance sampling inspection plan are provided. The values of the minimum number of groups and operating characteristic function for various quality levels are obtained for a group acceptance sampling inspection plan. A comparative study between single acceptance sampling inspection plan and double acceptance sampling inspection plan is carried out in terms of sample size. One simulated example and four real-life examples are discussed to show the applicability of the proposed double and group acceptance sampling inspection plans for ILL distributed quality parameters.

Topics & Concepts

Acceptance samplingSampling (signal processing)StatisticsSample (material)Test planMathematicsPlan (archaeology)Acceptance testingSample size determinationInverseComputer scienceWeibull distributionHistoryComputer visionSoftware engineeringFilter (signal processing)ChromatographyArchaeologyChemistryGeometryStatistical Distribution Estimation and ApplicationsOptimal Experimental Design MethodsProbabilistic and Robust Engineering Design
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