Double acceptance sampling plans for Burr type XII distribution percentiles under the truncated life test

Abstract

Lio et al (2010a, 2010b) introduced two single acceptance sampling plans (SASPs) for the percentiles of Birnbaum-Saunders and Burr type XII distribution with a truncated censoring scheme. They assured that the acceptance sampling plans for percentiles significantly improve the traditional ones for mean life. In this paper, a double-sampling procedure is developed for Burr type XII distribution percentiles to save sample resource with a truncated censoring scheme. Minimum sample sizes for implementing the proposed double-sampling method are determined under the satisfied levels of consumer's risk and producer's risk. Illustrative examples are used to demonstrate the applications of the proposed method. Compared with the SASP, the proposed double-sampling acceptance plan uses less sample resource in average for truncated life testing.

Keywords:

• cumulative density function
• failure rate function
• operating characteristics value
• probability density function
• producer’s risk

Acknowledgements

The authors are deeply thankful to the editor and reviewers for their useful suggestions, which have really improved this manuscript. The authors are also thankful to Dr Chi-Hyuck Jun, POTECH, South Korea and Dr Muhammad Azam, Forman Christian College University, Lahore, for their valuable suggestion during the revision of the paper.