Abstract

In this article, we propose a generalized class of exponential type estimators for estimating the mean of delicate variable in the existence of non-sensitive two auxiliary variables. The performance of mean estimator is obtained by using generalized two stage optional randomized response model. The expression for the bias and the mean square error are obtained up to first degree of approximation. Certain special cases for the generalized class are discussed. An extensive simulation study is performed to determine the performance of the estimators. It is observed that the suggested class of estimators performs more efficiently than some existing estimators.

中文翻译：

---

一类广义指数型估计器，用于在使用可选随机响应模型时估计敏感变量的均值

摘要

在这篇文章中，我们提出了一个广义的指数型估计器类，用于在存在非敏感两个辅助变量的情况下估计微妙变量的均值。均值估计器的性能是通过使用广义两阶段可选随机响应模型获得的。获得偏差和均方误差的表达式直到一级近似。讨论了广义类的某些特殊情况。执行广泛的模拟研究以确定估计器的性能。据观察，建议的估计器类别比某些现有估计器执行得更有效。