Improved ratio estimators of variance based on robust measures

被引：21

作者：

Abid, M. ^{[1
]}

Ahmad, S. ^{[2
]}

Tahir, M. ^{[1
]}

Nazir, H. Zafar ^{[3
]}

Riaz, M. ^{[4
]}

机构：

[1] Govt Coll Univ, Dept Stat, Faisalabad 38000, Pakistan

[2] COMSATS Inst Informat Technol, Dept Math, Wah Cantt 47040, Pakistan

[3] Univ Sargodha, Dept Stat, Sargodha 40100, Pakistan

[4] King Fahad Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

SCIENTIA IRANICA | 2019年 / 26卷 / 04期

关键词：

Auxiliary variable; Bias; Correlation coefficient; Inter decile range; Mean squared error; Midrange; AUXILIARY INFORMATION;

D O I：

10.24200/sci.2018.20604

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This study developed some new estimators for estimating population variance by utilizing available information on midrange and an interdecile range of auxiliary variables. A general class of estimators was also suggested. The derivations of the bias and the mean squared error were presented. Conditions were determined to verify the efficiency of the proposed estimators over existing estimators considered in this study. An empirical study was also provided for illustration and verification. Moreover, a robust study was carried out to evaluate the performance of the proposed estimators in comparison to existing estimators in case of extreme values. According to the theoretical and empirical research, it was found that the suggested estimators performed more efficiently than the existing estimators. (C) 2019 Sharif University of Technology. All rights reserved.

引用

页码：2484 / 2494

页数：11

共 32 条

[1] Some Improved Modified Ratio Estimators Based on Decile Mean of an Auxiliary Variable [J].