DUS Inverse Weibull Distribution and Parameter Estimation in Regression Model


Gül H. H. , Acıtaş Ş., Bayrak H., Şenoğlu B.

Süleyman Demirel University Journal of Natural and Applied (SDU J Nat Appl Sci), vol.26, no.3, pp.1-17, 2022 (Peer-Reviewed Journal)

Abstract

In this paper, we proposed DUS inverse Weibull (DIW) distribution using the DUS transformation method. We provide comprehensive description of the statistical properties of the subject distribution. In addition, a Monte Carlo simulation study is conducted to compare the efficiencies of the considered estimators for the parameters of the proposed distribution. In order to show the implementation of the proposed distribution to linear models, distribution of error terms is taken to be DIW in the simple linear regression model. Also, a simulation study is carried out to compare the performances of the estimators of the unknown regression parameters.