Abstract

In this article, we propose a parent-generalized family of chain exponential ratio type estimators in stratified random sampling to estimate the finite population mean using known information on two supplementary variables. The proposed family covered all the well-known family of existing ratio, product, chain ratio, chain product, chain exponential ratio and chain exponential product type estimators and some new families of estimators are generated from the proposed family of estimators. Properties of the proposed parent family of estimators are studied theoretically and empirically using real data and simulation study.

中文翻译：

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使用补充变量的分层随机抽样中的父广义链比率指数估计量族

摘要

在本文中，我们提出了分层随机抽样中链指数比率类型估计量的父类广义家族，以使用两个补充变量的已知信息来估计有限总体均值。提议的族涵盖了所有众所周知的现有比率、乘积、链比、链积、链指数比和链指数乘积类型估计器，并且一些新的估计器族是从提议的估计器族生成的。使用真实数据和模拟研究从理论上和经验上研究了所提出的估计量父族的属性。