Determination of multiple deferred state repetitive group sampling plan for life time assurance under Birnbaum–Saunders distribution

Abstract

A designing methodology to determine the optimal multiple deferred state repetitive group sampling plan for assuring Birnbaum–Saunders distributed both mean and median life of the products is proposed in this paper. The operating procedure and the performance measures of the proposed sampling plan are presented in this study. One of the familiar approaches involved in sampling plan determination that is two points on the operating characteristic curve approach is used to select the optimal plan parameters, which has minimum average sample number. Tables are constructed to report the optimal plan parameters for different set of mean or median ratio and shape parameter values of Birnbaum–Saunders distribution. Further, the proposed multiple deferred (dependent) state repetitive group sampling plan is compared with other existing sampling plans using some of the performance measures.

KEYWORDS:

• Birnbaum–Saunders distribution
• consumer’s risk
• mean life
• median life
• multiple deferred (dependent) state repetitive group sampling plan
• producer’s risk
• time truncated life test

Disclosure statement

No potential conflict of interest was reported by the author(s).