Work

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

Year: 2024

Type: article

Abstract: This study takes into account the efficient estimation of the probability density function (PDF) of the Weibull-Burr 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.

Source: Alexandria Engineering Journal

DOI: 10.1016/j.aej.2024.07.118

Authors: Amulya Kumar Mahto, Yogesh Mani Tripathi, Sanku Dey, M.M. Abd El-Raouf, Najwan Alsadat

Institutions: Indian Institute of Technology Guwahati, Indian Institute of Technology Patna, St. Anthony's College, Arab Academy for Science, Technology, and Maritime Transport, King Saud University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,300

Funder: King Saud University