Open AccessEstimation procedures on Type-II censored data from a scaled Muth distribution
Author(s) -
Hayrinisa Demirci Biçer
Publication year - 2021
Publication title -
sigma mühendislik ve fen bilimleri dergisi
Language(s) - English
Resource type - Journals
eISSN - 1304-7191
pISSN - 1304-7205
DOI - 10.14744/sigma.2021.00004
Subject(s) - censoring (clinical trials) , estimator , monte carlo method , statistics , maximum likelihood , mathematics , estimation , distribution (mathematics) , mean squared error , computer science , engineering , mathematical analysis , systems engineering
In the present paper, we consider the estimation problem for the scaled Muth distribution under Type-II censoring scheme. In order to estimate the model parameters α and β, the maximum likelihood, the least-squares, and the maximum spacing estimators are derived. To show estimation efficiencies of the estimators obtained with this paper, we present an exten- sive Monte-Carlo simulation study in which the estimators are compared according to bias and mean squared error criteria. Furthermore, we evaluate the applicability of the scaled Muth distribution by taking into account both full and Type-II censored data situations by an anal- ysis conducted on a real-life dataset.