- Gazi University Journal of Science
- Vol: 32 Issue: 4
- New Parametric Estimation Methods based on Ranked Set Sampling
New Parametric Estimation Methods based on Ranked Set Sampling
Authors : Mohamed Abdallah, Samir Ashour
Pages : 1356-1368
Doi:10.35378/gujs.477631
View : 10 | Download : 6
Publication Date : 2019-12-01
Article Type : Research
Abstract :The problem of parameters estimation plays a significant role in various areas of academic researches. In this article, we propose three different methods of estimation for the parameters of location-scale family under ranked set sampling in the view of missing data mechanism. Through a series of Monte Carlo simulations, it is well investigated that the proposed methods are relatively robust from violating the perfect ranking condition and provide better performance over their competitors using bias and MSE (mean square error) criteria. An empirical data set is also used for illustrative purposes.Keywords : Cramér-von-Mises, EM algorithm, Estimation methods, Missing Data Approach, Ranked set sampling