Estimating Gain in Efficiency in Complicated Randomized Response Surveys versus Simpler Alternatives

Arijit Chaudhuri, Dipika Patra
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Abstract

Hartley and Ross’s (1954) ratio-type unbiased estimator for a finite population total based on a Simple Random Sample taken Without Replacement (SRSWOR) is examined for its performance versus the expansion estimator from the sample data at hand by Chaudhuri and Samaddar (2022). They also examined how Des Raj (1956) estimator based on PPSWOR performs against SRSWOR combined with expansion estimator using PPSWOR sample values. Here we study the expansion of them to Randomized Response survey data. International Journal of Statistical Sciences, Vol.24(1), March, 2024, pp 75-84
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估算复杂随机应答调查与简单替代调查的效率收益
Chaudhuri 和 Samaddar(2022 年)根据手头的样本数据,研究了 Hartley 和 Ross(1954 年)基于无替换简单随机抽样(SRSWOR)的有限人口总数比率型无偏估计器与扩展估计器的性能对比。他们还研究了基于 PPSWOR 的 Des Raj(1956 年)估计器与 SRSWOR 结合使用 PPSWOR 样本值的扩展估计器的性能对比。在此,我们研究将其扩展到随机回应调查数据。
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