Constructing exact tolerance intervals for the exponential distribution based on record values. (10th July 2020)

• Record Type: Journal Article
• Authors: Guo, Baocai; Zhu, Naifan; Wang, Wei; Wang, Hsiuying
• Is Part Of: Quality and reliability engineering international. Volume 36:Number 7(2020)
• Page Start: 2398
• Page End: 2410
• Publication Date: 2020-07-10
• Subjects: accuracy level -- Bayesian method -- exponential distribution -- record value -- tolerance interval; Reliability (Engineering) -- Periodicals; Quality control -- Periodicals; High technology -- Periodicals; 620.00452
• DOI: 10.1002/qre.2704
• Languages: English
• ISSNs: 0748-8017

Abstract

Abstract: Recently, with the wide application of tolerance intervals (TIs), especially in quality management, the construction of TIs has attracted increasing attention. However, TIs applied to record data have not been well established as they have been for complete data. In many industrial stress tests, only record data are stored instead of complete data, which leads to the fact that the developments of methods based on record data are as important as those based on complete data. In this paper, we propose the exact two‐sided TIs for the exponential distribution based on record values from the frequentist and Bayesian perspectives. The accuracy of each type of TIs is quantified. The results show that the Bayesian approach is superior to the frequentist approach in terms of the accuracy. A real data example is used to illustrate the constructions and implementations of the proposed TIs.