Integrated beta model for bathtub-shaped hazard rate data. Issue 3 (2nd July 2016)

• Record Type: Journal Article
• Authors: Lai, Chin-Diew; Jones, Geoff; Xie, Min
• Is Part Of: Quality technology & quantitative management. Volume 13:Issue 3(2016)
• Page Start: 229
• Page End: 240
• Publication Date: 2016-07-02
• Subjects: Generalized beta -- lifetime data -- probability distribution -- reliability; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2016.1180028
• Languages: English
• ISSNs: 1684-3703

Abstract

Abstract: In this paper, we introduce a new parametric distribution for modelling lifetime data with bathtub-shaped hazard rate, derived by representing the cumulative hazard as proportional to a generalized beta density. The distribution has a finite range, useful when there is a maximum possible lifetime, a common scenario when there are additional failure modes leading to failure after a certain time. Reliability and other distributional properties of the distribution are discussed. Parameter issues are also studied. The application of the model is illustrated by fitting the model to several data sets from the literature.