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Improved ratio estimators in stratified sampling

机译:分层抽样中改进的比率估计量

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In stratified sampling, one can use the separate or combined ratio estimators. The authors in this paper limited to their combined ratio estimators. Kalidar and Cingi (Ref. 1) have introduced various combined ratio estimators by using transformations introduced by several authols such as Sisodia and Dwivedi (Ref. 2). Singh and Kakran (Ref. 3) and Upadhyaya and Singh (Ref. 4). Sisodia and Dwivedi (Ref. 2) proposed a ratio estimator Y_SD by using a transformation involving coefficient of variation (C_x) of an auxiliary variable X. Singh and Kakran (Ref. 3) proposed another ratio estimator Y_SK by using a transformation involving coefficient of kurtosis β_2(x) instead of coefficient of variation. Upadhyaya and Singh (Ref. 4) further modified these ratio estimators and suggested two estimators Y_USl and Y_US2 by using both C_x and β_2(x) Later Kalidar and Cingi (Ref. 1) used the aboveLmentioned estimators in stratified sampling in the form of a combined ratio estimator. They concluded that an ordinary combined ratio estimator is better than the transformed combined ratio estimators. The authors have given their proposed class of estimators in Section 2. Section 3 describes the efficiency of the proposed estimator with that of combined ratio estimators. Data and simulations results are presented in Section 4. Finally, conclusions are given in Section 5. (7 refs.)
机译:在分层抽样中,可以使用单独的或组合的比率估计量。本文的作者仅限于他们的组合比率估计量。 Kalidar和Cingi(参考文献1)通过使用由诸如Sisodia和Dwivedi(参考文献2)之类的一些权威人士引入的转换,引入了各种组合比率估计器。 Singh和Kakran(参考文献3)以及Upadhyaya和Singh(参考文献4)。 Sisodia和Dwivedi(参考文献2)通过使用涉及辅助变量X的变异系数(C_x)的变换提出了比率估算器Y_SD。Singh和Kakran(参考文献3)通过使用涉及系数为的变换提出了另一种比率估算器Y_SK。峰度β_2(x)而不是变异系数。 Upadhyaya和Singh(参考文献4)进一步修改了这些比率估算器,并建议同时使用C_x和β_2(x)来估算两个估算器Y_US1和Y_US2。综合比率估算器。他们得出的结论是,普通的组合比率估算器要好于转换后的组合比率估算器。作者在第2节中给出了他们建议的估计量类别。第3节介绍了建议的估计量与组合比率估计量的效率。数据和模拟结果在第4节中给出。最后,在第5节中给出结论(7个参考。)

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