Comparison of Three-Parameter Weibull Distribution Parameter Estimators with the Maximum Likelihood Method

Authors : Lazim KAMBERİ, Senad ORHANİ, Mirlinda SHAQİRİ, Sejhan IDRİZİ

Pages : 1084-1092

Doi:10.16984/saufenbilder.1137262

View : 16 | Download : 8

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :Important distributions used to model and analyse data in various real-life sciences such as natural sciences, engineering, and medicine are the Weibull, Weibull exponential, and Weibull Rayleigh distribution. The main objective of this paper is to determine the best evaluators and compare them for the distribution with three-parameters of Weibull, Weibull Rayleigh and Exponential Weibull. The methods under consideration for comparing the parameter estimators for these distributions is that of maximum likelihood using the statistical program R for the application of real data. Based on the results obtained from this study, the maximum likelihood approach used in estimating the parameters is the comparison between these distributions.
Keywords : Exponential Weibull distribution, maximum likelihood, parameters, Weibull distribution, Weibull Rayleigh distribution