Acceptance sampling plans for inverse Weibull distribution based on truncated life test

TL;DR

This paper develops and compares double and group acceptance sampling plans for inverse Weibull distributions based on truncated life tests, focusing on median lifetime as a quality measure, supported by simulations and real data analysis.

Contribution

Introduces new acceptance sampling plans for inverse Weibull distribution using median lifetime and truncated tests, with comprehensive simulation and real data validation.

Findings

Proposed plans effectively control risks at specified confidence levels.

Simulation results demonstrate the plans' efficiency and reliability.

Real data application confirms practical utility of the methods.

Abstract

In this paper, we develop double acceptance sampling plan and group acceptance sampling plan for an inverse Weibull distribution based on a truncated life test. We consider the median lifetime of the test units as a quality parameter and obtain the design parameters such as sample size and acceptance number. These plans are obtained under the consumer's risk and the producer's risk simultaneously involved at a certain confidence level. We present a simulation study to support the proposed methods and a comparison between single and double acceptance sampling plans is made. A real data set is also analyzed to illustrate the implementation of the proposed sampling plans. Further, the situation under which the proposed samplings plans can also be used for other percentiles points is discussed. Finally a conclusion is presented.