An exponential family of median based estimators for mean estimation with simple random sampling scheme

被引：20

作者：

Shahzad, Usman ^{[1
,4
]}

Al-Noor, Nadia H. ^{[2
]}

Hanif, Muhammad ^{[1
]}

Sajjad, Irsa ^{[3
]}

机构：

[1] PMAS Arid Agr Univ, Dept Math & Stat, Rawalpindi, Pakistan

[2] Mustansiriyah Univ, Coll Sci, Dept Math, Baghdad, Iraq

[3] Univ Lahore, Dept Lahore Business Sch, Islamabad, Pakistan

[4] Int Islamic Univ, Dept Math & Stat, Islamabad, Pakistan

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2021年 / 50卷 / 20期

关键词：

Auxiliary (supplementary) variable; median; MSE; PRE; ratio-type estimators; exponential-type estimators; MODIFIED RATIO ESTIMATORS;

D O I：

10.1080/03610926.2020.1725828

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Recently, Irfan et al. developed ratio-type estimators for population mean estimation with simple random sampling (SRS) scheme, based on known median of a study variable and an auxiliary (supplementary) variable. In this study, adapting the structure of Koyuncu, we propose a new class of exponential-type estimators, based on the known median of study variable with the SRS scheme. The theoretical mean square error (MSE) expressions of the new proposals up to the first order of approximation are determined. A numerical study is done in support of the present work by finding percentage gain in efficiency with the graphical presentation of MSE results.

引用

页码：4890 / 4899

页数：10

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