Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable

被引：11

作者：

Irfan, Muhammad ^{[1
,2
]}

Javed, Maria ^{[2
]}

Abid, Muhammad ^{[1
]}

Lin, Zhengyan ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Stat, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

[2] Govt Coll Univ, Dept Stat, Faisalabad, Pakistan

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2018年 / 47卷 / 03期

关键词：

Auxiliary variables; Bias; Efficiency; Median; Mean squared error; Ratio estimators; RRMSE;

D O I：

10.15672/HJMS.201613720025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with efficient ratio type estimators for estimating finite population mean under simple random sampling scheme by using the knowledge of known median of a study and an auxiliary variable. Expressions for the bias and mean squared error of the proposed ratio type estimators are derived up to first order of approximation. It is found that our proposed estimators perform better as compared to the traditional ratio estimator, regression estimator, Subramani and Kumarapandiyan [23], Subramani and Prabavathy [24] and Yadav et al. [28] estimators. In addition, theoretical findings are verified with the help of real data sets.

引用

页码：659 / 673

页数：15

共 30 条

[11]

MUKHOPADHYAY P, 1988, THEORY METHODS SURVE

[12] Optimum design-based ratio estimators of the distribution function [J].