A Weighted Cosine-G Family of Distributions: Properties and Illustration Using Time-to-Event Data

被引:29
作者
Odhah, Omalsad Hamood [1 ]
Alshanbari, Huda M. [1 ]
Ahmad, Zubair [2 ]
Rao, Gadde Srinivasa [3 ]
机构
[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Quaid I Azam Univ, Dept Stat, Islamabad 44000, Pakistan
[3] Univ Dodoma, Dept Math & Stat, POB 259, Dodoma, Tanzania
关键词
cosine function; trigonometric function; Weibull distribution; distributional properties; simulation; time-to-event data; statistical modeling;
D O I
10.3390/axioms12090849
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Modeling and predicting time-to-event phenomena in engineering, sports, and medical sectors are very crucial. Numerous models have been proposed for modeling such types of data sets. These models are introduced by adding one or more parameters to the traditional distributions. The addition of new parameters to the traditional distributions leads to serious issues, such as estimation consequences and re-parametrization problems. To avoid such problems, this paper introduces a new method for generating new probability distributions without any additional parameters. The proposed method may be called a weighted cosine-G family of distributions. Different distributional properties of the weighted cosine-G family, along with the maximum likelihood estimators, are obtained. A special model of the weighted cosine-G family, by utilizing the Weibull model, is considered. The special model of the weighted cosine-G family may be called a weighted cosine-Weibull distribution. A simulation study of the weighted cosine-Weibull model is conducted to evaluate the performances of its estimators. Finally, the applications of the weighted cosine-Weibull distribution are shown by considering three data sets related to the time-to-event phenomena.
引用
收藏
页数:20
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