A Novel Probabilistic Approach Based on Trigonometric Function: Model, Theory with Practical Applications

被引：27

作者：

Odhah, Omalsad Hamood ^{[1
]}

Alshanbari, Huda M. ^{[1
]}

Ahmad, Zubair ^{[2
]}

Khan, Faridoon ^{[3
]}

El-Bagoury, Abd Al-Aziz Hosni ^{[4
]}

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] Pakistan Inst Dev Econ, Islamabad 44000, Pakistan

[4] Higher Inst Engn & Technol, Basic Sci Dept, El Mahala El Kobra 31511, Egypt

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 08期

关键词：

cotangent function; trigonometric function; Weibull distribution; distributional properties; medical datasets; statistical modeling; WEIBULL DISTRIBUTION;

D O I：

10.3390/sym15081528

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Proposing new families of probability models for data modeling in applied sectors is a prominent research topic. This paper also proposes a new method based on the trigonometric function to derive the updated form of the existing probability models. The proposed family is called the cotangent trigonometric-G family of distributions. Based on the cotangent trigonometric-G method, a new version of the Weibull model, namely, the cotangent trigonometric Weibull distribution, is studied. Certain mathematical properties of the cotangent trigonometric-G family are derived. The estimators of the cotangent trigonometric-G distributions are obtained via the maximum likelihood method. The Monte Carlo simulation study is conducted to assess the performances of the estimators. Finally, two applications from the health sector are considered to illustrate the cotangent trigonometric-G method. Based on seven evaluating criteria, it is observed that the cotangent trigonometric-G significantly improves the fitting power of the existing models.

引用

页数：21

共 28 条

[1] Weibull distribution under indeterminacy with applications [J].