Estimation of Gumbel Parameters under Ranked Set Sampling
Omar M. Yousef, Al Balqa’ Applied University, Zarqa, Jordan
S. A. Al-Subh, Mutah University,Karak, Jordan
Journal of Modern Applied Statistical Methods
November 2014, Vol. 13, No. 2, 432-443.
Copyright © 2014 JMASM, Inc. ISSN 1538 − 9472
Omar M. Yousef is a lecturer in the Basic Sciences Department. عنوان البريد الإلكتروني هذا محمي من روبوتات السبام. يجب عليك تفعيل الجافاسكربت لرؤيته.
Sameer A. Al-Subh is an assistant professor in the Department of Mathematics and Statistics. عنوان البريد الإلكتروني هذا محمي من روبوتات السبام. يجب عليك تفعيل الجافاسكربت لرؤيته.
Abstract
Consider the MLEs (maximum likelihood estimators) of the parameters of the Gumbel distribution using SRS (simple random sample) and RSS (ranked set sample) and the MOMEs (method of moment estimators) and REGs (regression estimators) based on SRS. A comparison between these estimators using bias and MSE (mean square error) was performed using simulation. It appears that the MLE based on RSS can be a robust competitor to the MLE based on SRS.
