A Class of Estimators of Population Variance Using Auxiliary Information in Sample Surveys

2014 ◽  
Vol 43 (6) ◽  
pp. 1248-1260 ◽  
Author(s):  
Rohini Yadav ◽  
Lakshmi N. Upadhyaya ◽  
Housila P. Singh ◽  
S. Chatterjee
Author(s):  
Nadia Mushtaq ◽  
Iram Saleem

Singh et al. (2016) presented a ratio and regression estimators of population variance of a sensitive variable using auxiliary information based on randomized response technique (RRT). In this article, the RRT is considered in stratified random sampling for the estimation of variance. A generalized class of estimators of variance in stratified RRT is proposed and derive the procedure of variance estimation in stratified RRT. The expression of the bias and mean square error are expressed. The empirical findings support the soundness of proposed scheme of variance estimation.


Author(s):  
Housila Prasad Singh ◽  
Pragati Nigam

In this paper we have considered the problem of estimating the population mean using auxiliary information in sample surveys. A class of dual to ratio estimators has been defined. Exact expressions for bias and mean squared error of the suggested class of dual to ratio estimator have been obtained. In particular, properties of some members of the proposed class of dual to ratio estimators have been discussed. It has been shown that the proposed class of estimators is more efficient than the sample mean, ratio estimator, dual to ratio estimator and some members of the suggested class of estimators in some realistic conditions. Some numerical illustrations are given in support of the present study.


2017 ◽  
Vol 13 (2) ◽  
pp. 77-108
Author(s):  
H. P. Singh ◽  
A. Yadav

Abstract In this paper we have suggested a family of estimators of the population mean using auxiliary information in sample surveys. The bias and mean squared error of the proposed class of estimators have been obtained under large sample approximation. We have derived the conditions for the parameters under which the proposed class of estimators has smaller mean squared error than the sample mean, ratio, product, regression estimator and the two parameter ratio-product-ratio estimators envisaged by Chami et al (2012). An empirical study is carried out to demonstrate the performance of the proposed class of estimators over other existing estimators.


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