Open AccessClassical Methods to Estimate the Parameters of Exponentiated Weibull Distribution
Author(s) -
Aseel H. Ali,
Iden H. Al Kanani
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1818/1/012078
Subject(s) - mathematics , estimator , weibull distribution , mean squared error , statistics , exponentiated weibull distribution , rank (graph theory) , ordinary least squares , combinatorics
In this article the Exponentiated Weibull distribution with some of its properties is considered. Classical methods, Maximum likelihood estimator method, ordinary least squares estimator method and rank set sampling estimator method are proposed to estimate all the unknown parameters (β,Ψ,θ) of the distribution. Newton–Raphson method is used to solve the above three methods, simulation procedure is used to generated some sample sizes and finally mean squares error measure are used to compare between them. We find Maximum likelihood estimator method has the smallest mean square error.