Ratio and product estimators in stratified random sampling
Ratio and product estimators in stratified random sampling
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DOI：
10.1016/j.jspi.2008.11.009
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发表时间：
2009-08-01
影响因子：
0.9
通讯作者：
Kadilar, Cem
中科院分区：
文献类型：
--
作者：
Koyuncu, Nursel;Kadilar, Cem
Khoshnevisan等人[2007.利用某些总体参数的已知值估计总体均值的估计量的一般族。Far East Journal of Theoretical Statistics 22，181-191]在简单随机抽样中引入了使用辅助信息的估计量族。证明了这类估计比经典的比率估计更有效，且均方误差的最小值等于回归估计的均方误差的值。在这篇文章中，我们适应在这个家庭中的估计分层随机抽样和Searls [1964]估计的动机。已知峰度系数在方差估计中的应用。journal of the American Statistical Association 59，1225-1226]，我们还提出了一个新的估计族的分层随机抽样。适应和建议的家庭的偏差和MSE的表达式推导出一般形式。此外，考虑到这些MSE方程的最小情况，得到了适应族和建议族之间的有效条件。此外，这些理论研究结果的支持与原始数据的数值例子。(C)2008 Elsevier B. V.保留所有权利。
Khoshnevisan et al. [2007. A general family of estimators for estimating population mean using known value of some population parameter(s). Far East Journal of Theoretical Statistics 22, 181-191] have introduced a family of estimators using auxiliary information in simple random sampling. They have showed that these estimators are more efficient than the classical ratio estimator and that the minimum value of the mean square error(MSE) of this family is equal to the value of MSE of regression estimator. In this article, we adapt the estimators in this family to the stratified random sampling and motivated by the estimator in Searls [1964. Utilization of known coefficient of kurtosis in the estimation procedure of variance. journal of the American Statistical Association 59, 1225-1226], we also propose a new family of estimators for the stratified random sampling. The expressions of bias and MSE of the adapted and proposed families are derived in a general form. Besides, considering the minimum cases of these MSE equations, the efficient conditions between the adapted and proposed families are obtained. Moreover, these theoretical findings are supported by a numerical example with original data. (C) 2008 Elsevier B.V. All rights reserved.