1. A new statistical distribution with applications to sports and health sciences
- Author
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Fei Wang, Zubair Ahmad, Faridoon Khan, Eslam Hussam, Abdal-Aziz H El-Bagoury, and Huda M. Alshanbari
- Subjects
Weibull distribution ,Sports sciences ,Football ,Health sectors ,Statistical modeling ,Simulation ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
In this paper, we introduce a new class of statistical models to deal with the data sets in the sports and health sectors. The new class is called, a novel exponent power-Y (NovEP-Y) family of distributions. By implementing the NovEP-Y approach, a new model, namely, a novel exponent power-Weibull (NovEP-Weibull) distribution is introduced. Some distributional properties of the NovEP-Y family such as identifiability, order statistics, quantile function, and moments are obtained. The maximum likelihood estimators of the parameters are also derived. Furthermore, a brief Monto Carlo simulation study is conducted to evaluate the performances of the estimators. To show the applicability of the NovEP-Weibull model, two data sets from the sports and health sciences are considered. The first data set represents the time-to-even data collected from different football matches during the period 1964–2018. Whereas, the second data set is taken from the health sector, representing the survival times of the COVID-19 infected patients. Based on some well-known statistical tests, it is observed that the NovEP-Weibull model is a very competitive distribution for modeling the data sets in the sports and health sectors.
- Published
- 2022
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