Abstract

In this paper, an unbiased ratio estimator based on Tin (1965), an unbiased product estimator based on Robson (1957) and an unbiased estimator based on Mahanty and Mishra (2020) by using auxiliary information was developed under two-phase sampling. The efficiency of the estimators is shown both theoretically and numerical illustration. The unbiased estimator based on Mahanty and Mishra is more efficient than other estimators.

中文翻译：

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两阶段抽样下有限总体均值使用辅助信息的无偏估计

摘要

本文在两阶段采样下开发了基于 Tin (1965) 的无偏比率估计器、基于 Robson (1957) 的无偏乘积估计器以及基于 Mahanty 和 Mishra (2020) 使用辅助信息的无偏估计器。估算器的效率在理论上和数值上都有体现。基于 Mahanty 和 Mishra 的无偏估计器比其他估计器更有效。