A Generalized Class of Estimators for Finite Population Mean Using Two Auxiliary Variables in Sample Surveys

被引:4
|
作者
Singh, Housila Prasad [1 ]
Nigam, Pragati [2 ]
机构
[1] Vikram Univ, Sch Studies Stat, Ujjain 456010, Madhya Pradesh, India
[2] Mandsaur Univ, Fac Agr Sci, Mandsaur, MP, India
来源
关键词
Auxiliary variable; study variable; bias; mean squared error; simple random sampling; stratified random sampling; CUM-PRODUCT ESTIMATOR; RATIO ESTIMATORS; INFORMATION; COEFFICIENT; FAMILY;
D O I
10.13052/jrss0974-8024.1514
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper we have suggested a generalized class of estimators for estimat-ing the finite population mean Y?? of the study variable y using information on two auxiliary variables x and z. We have studied the properties of the proposed generalized class of estimators in simple random sampling without replacement scheme and in stratified random sampling up to the first order of approximation. It is shown that the suggested class of estimators is more efficient than the conventional unbiased estimator, ratio estimator, prod-uct estimator, traditional difference estimator, Srivastava (1967) estimator, Ray et al. (1979) estimator, Vos (1980) estimator, Upadhyaya et al. (1985) estimator, Rao (1991) estimator and Gupta and Shabbir (2008) estimator. Theoretical results are well supported through an empirical study.
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页码:61 / 103
页数:43
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