The log-normal modified Weibull distribution and its reliability implications. (August 2019)

• Record Type: Journal Article
• Authors: Shakhatreh, Mohammed K.; Lemonte, Artur J.; Moreno–Arenas, Germán
• Is Part Of: Reliability engineering & system safety. Volume 188(2019)
• Page Start: 6
• Page End: 22
• Publication Date: 2019-08
• Subjects: Failure rate function -- Log-normal distribution -- Maximum likelihood method -- Mean residual life -- Weibull distribution; Reliability (Engineering) -- Periodicals; System safety -- Periodicals; Industrial safety -- Periodicals; Fiabilité -- Périodiques; Sécurité des systèmes -- Périodiques; Sécurité du travail -- Périodiques; 620.00452
• DOI: 10.1016/j.ress.2019.03.014
• Languages: English
• ISSNs: 0951-8320

Abstract

Highlights: Parametric modeling in reliability. Failure rate functions with a long flat region. Relations between failure rate and mean residual life. Applications to three well-known data sets. Abstract: This paper introduces a new lifetime distribution to describe and analyze monotone, upside-down bathtub, bathtub-shaped and modified bathtub-shaped failure rates. An important property of the new distribution is that it can have a bathtub-shaped failure rate function with a long flat region, which may be very useful in reliability contexts. Some structural properties of the new model are obtained, and a detailed study of its mean residual life function is provided. In particular, we focus on the fundamental associations between the failure rate and mean residual life regarding their change points. The maximum likelihood method is used to estimate the model parameters. The usefulness of the new distribution is illustrated by means of empirical applications to three real datasets from engineering reliability in order to prove its versatility in practice.