Efficient estimation of the density and distribution functions of Weibull-Burr XII distribution

被引：0

作者：

Mahto, Amulya Kumar ^{[1
]}

Tripathi, Yogesh Mani ^{[2
]}

Dey, Sanku ^{[3
]}

Abd El-Raouf, M. M. ^{[4
]}

Alsadat, Najwan ^{[5
]}

机构：

[1] Indian Inst Technol Guwahati, MFSDS&AI, Gauhati 781039, Assam, India

[2] Indian Inst Technol Patna, Patna 801103, Bihar, India

[3] St Anthonys Coll, Dept Stat, Shillong 793001, Meghalaya, India

[4] Arab Acad Sci Technol & Maritime Transport AASTMT, Basic & Appl Sci Inst, Alexandria, Egypt

[5] King Saud Univ, Coll Business Adm, Dept Quantitat Anal, POB 71115, Riyadh 11587, Saudi Arabia

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2024年 / 104卷

关键词：

Weibull-Burr XII distribution; Maximum likelihood estimator; Moment estimator; Uniformly minimum variance unbiased; estimator; MAXIMUM-LIKELIHOOD; REGRESSION; MODEL; PDF; CDF;

D O I：

10.1016/j.aej.2024.07.118

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This study takes into account the efficient estimation of the probability density function (PDF) of the WeibullBurr XII distribution and the cumulative distribution function (CDF), which allows for greater flexibility than many other generalized distributions in use today. Nine traditional estimators are used to produce the analytical formulations for the bias and the mean squared error (MSE). A simulated investigation is conducted to evaluate the finite sample performance of the suggested estimators in terms of MSE values. In addition to that a real data application is also demonstrated for illustration.

引用

页码：576 / 586

页数：11

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