A new family of distributions using a trigonometric function: Properties and applications in the healthcare sector

作者：Omalsad Hamood Odhah, Huda M. Alshanbari, Zubair Ahmad, Faridoon Khan, Abd Al-Aziz Hosni El-Bagoury · 发表于：Heliyon · 年份：2024 · DOI：10.1016/j.heliyon.2024.e29861 · 被引用次数：27 · 研究领域：Statistical Distribution Estimation and Applications、Hydrology and Drought Analysis、Probability and Statistical Research

Probability distributions play a pivotal and significant role in modeling real-life data in every field. For this activity, a series of probability distributions have been introduced and exercised in applied sectors. This paper also contributes a new method for modeling continuous data sets. The proposed family is called the exponent power sine- G family of distributions. Based on the exponent power sine- G method, a new model, namely, the exponent power sine-Weibull model is studied. Several mathematical properties such as quantile function, identifiability property, and r t h moment are derived. For the exponent power sine- G method, the maximum likelihood estimators are obtained. Simulation studies are also presented. Finally, the optimality of the exponent power sine-Weibull model is shown by taking two applications from the healthcare sector. Based on seven evaluating criteria, it is demonstrated that the proposed model is the best competing distribution for analyzing healthcare phenomena.