Interval censored sampling plans for the log-logistic lifetime distribution

Abstract

The log-logistic distribution is one of the popular distributions in life-testing applications. This article develops an acceptance sampling procedure for the log-logistic lifetime distribution based on grouped data when the shape parameter is given. Both producer and consumer risks are considered to develop the ordinary, approximate and simulated sampling plans. Some of the proposed sampling plans are tabulated; moreover, those three types of sampling plans are compared with each other under the same censoring rates. The use of these tables is illustrated by an example.

Keywords:

• consumer risk
• log-logistic distribution
• grouped data
• maximum likelihood estimator
• producer risk

Acknowledgements

This work was supported by the Scientific Research Project of Bureau of Statistics of Sichuan Province in China (2008sc093) and the key Discipline Program, 211 Project for the Southwestern University of Finance and Economics.