Order restricted classical inference of a Weibull multiple step-stress model. Issue 4 (12th March 2021)

• Record Type: Journal Article
• Authors: Pal, Ayan; Mitra, Sharmishtha; Kundu, Debasis
• Is Part Of: Journal of applied statistics. Volume 48:Issue 4(2021)
• Page Start: 623
• Page End: 645
• Publication Date: 2021-03-12
• Subjects: Step-stress model -- tampered failure rate based model -- maximum-likelihood estimator -- isotonic regression -- bootstrap confidence interval; Statistics -- Periodicals; 519.5
• DOI: 10.1080/02664763.2020.1736526
• Languages: English
• ISSNs: 0266-4763

Abstract

ABSTRACT: In this paper, a multiple step-stress model is designed and analyzed when the data are Type-I censored. Lifetime distributions of the experimental units at each stress level are assumed to follow a two-parameter Weibull distribution. Further, distributions under each of the stress levels are connected through a tampered failure-rate based model. In a step-stress experiment, as the stress level increases, the load on the experimental units increases and hence the mean lifetime is expected to be shortened. Taking this into account, the aim of this paper is to develop the order restricted inference of the model parameters of a multiple step-stress model based on the frequentist approach. An extensive simulation study has been carried out and two real data sets have been analyzed for illustrative purposes.