Hassan Okasha1,2, Mazen Nassar1,3,*
CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.3, pp. 2219-2241, 2023, DOI:10.32604/cmes.2023.028783
- 03 August 2023
Abstract In this paper, we introduce a new four-parameter version of the traditional Weibull distribution. It is able to
provide seven shapes of hazard rate, including constant, decreasing, increasing, unimodal, bathtub, unimodal then
bathtub, and bathtub then unimodal shapes. Some basic characteristics of the proposed model are studied, including
moments, entropies, mean deviations and order statistics, and its parameters are estimated using the maximum
likelihood approach. Based on the asymptotic properties of the estimators, the approximate confidence intervals
are also taken into consideration in addition to the point estimators. We examine the effectiveness of the maximum More >