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A group acceptance sampling plan based on flexible new Kumaraswamy exponential distribution: An application to quality control reliability

Sidra Naz, M. H. Tahir, Farrukh Jamal, Muhammad Ameeq, Shakaiba Shafiq, John T. Mendy

2023Cogent Engineering15 citationsDOIOpen Access PDF

Abstract

In this study, we presented a group acceptance sampling plan for situations in which the lifetime of an item followed a flexible new Kumaraswamy exponential distribution for applications to quality control reliability. This study includes a detailed analysis of the operating characteristic function values, producer risk, and minimum required group size for the acceptance number, which are determined by three shape parameters. To determine the quality index, we used the median and tested various parametric values to obtain the optimized values. These optimized values are presented in the tables and graphically for a better understanding. In addition, we explain the results of our study using two real-life datasets and an example. Comparison has been also made between GASP and OSP.

Topics & Concepts

Acceptance samplingReliability (semiconductor)Exponential distributionStatisticsReliability engineeringParametric statisticsMathematicsSampling (signal processing)Quality (philosophy)Exponential functionSample size determinationComputer scienceEngineeringMathematical analysisFilter (signal processing)EpistemologyPower (physics)PhysicsQuantum mechanicsPhilosophyComputer visionStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignAdvanced Statistical Process Monitoring