A New Three-Parameter Flexible Unit Distribution and Its Quantile Regression Model

被引：5

作者：

Muhammad, Mustapha ^{[1
]}

Abba, Badamasi ^{[2
]}

Xiao, Jinsen ^{[1
]}

Alsadat, Najwan ^{[3
]}

Jamal, Farrukh ^{[4
]}

Elgarhy, Mohammed ^{[5
]}

机构：

[1] Guangdong Univ Petrochem Technol, Dept Math, Maoming 525000, Peoples R China

[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China

[3] King Saud Univ, Coll Business Adm, Dept Quantitat Anal, Riyadh 11587, Saudi Arabia

[4] Islamia Univ Bahawalpur, Dept Stat, Bahawalpur 63100, Punjab, Pakistan

[5] Beni Suef Univ, Fac Sci, Math & Comp Sci Dept, Bani Suwayf 62521, Egypt

来源：

IEEE ACCESS | 2024年 / 12卷

关键词：

Data models; Biological system modeling; Analytical models; Predictive models; Reliability; Maximum likelihood estimation; Hazards; Maintenance; Convolution; Bayes methods; Unit-Weibull; moments; entropy; quantile regression; residual analysis; maximum likelihood; Bayes estimation; simulation; VIABLE CD34(+) CELLS; BETA REGRESSION; TIME;

D O I：

10.1109/ACCESS.2024.3485219

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper introduces a novel Poisson-unit-Weibull (PUW) distribution, which is defined on a unit domain and characterized by three parameters. The PUW distribution is capable of accommodating diverse non-monotone failure rates. The paper explores several significant statistical properties of the model, including the explicit closed-form expressions for the r(th) moments, quantile function, and Shannon entropy. The parameters of the PUW distribution are estimated using maximum likelihood estimation (MLE) and Bayes estimation with a square error loss function. The performance of these estimation methods is evaluated through Monte Carlo simulation studies. Furthermore, the paper discusses the practical aspects of the PUW-quantile regression model and its MLE, employing residual analysis in simulation studies. The flexibility of the PUW and PUW-quantile regression model is demonstrated through six real-life applications, showcasing their superior performance when compared to other popularly used models.

引用

页码：156235 / 156251

页数：17

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