Estimation of interquartile range in stratified sampling under non-linear cost function

被引：7

作者：

Shabbir, Javid ^{[1
]}

Ahmed, Aneel ^{[1
]}

机构：

[1] Quaid I Azam Univ, Dept Stat, Islamabad 45320, Pakistan

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2022年 / 51卷 / 04期

关键词：

Auxiliary variable; Bias; efficiency; IQR; MSE; MEDIAN ESTIMATION; AUXILIARY;

D O I：

10.1080/03610918.2019.1689267

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：

Using stratified random sampling scheme, we discuss three estimators in estimating the finite population interquartile range (IQR) by using the known values of the 1(st) and 3(rd) quartiles of the auxiliary variable. Expressions for bias and MSE are derived up to first order of approximation. We propose an allocation procedure where a non-linear cost function is considered to minimize the mean square error (MSE) of the estimators for a specified cost. We use the real data set to compare the performances of estimators under proportional allocation and proposed allocation.

引用

页码：1891 / 1898

页数：8

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