scholarly journals Effect of Measurement Errors on a Class of Estimators of Population Mean Using Auxiliary Information in Sample Surveys

2008 ◽  
Vol 4 (2) ◽  
pp. 175-189
Author(s):  
Housila P.Singh ◽  
Namrata Karpe ◽  
◽  
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.


2020 ◽  
Vol 2 (1) ◽  
pp. 9-26
Author(s):  
Syed Abdul Rehman ◽  
Mohammad Asif

In this paper we propose a class of estimators for the estimation of finitepopulation mean using the auxiliary information when SRS scheme is used. Theexpressions for the Bias and mean square error (MSE) of the existing andsuggested class of estimators are derived up to first degree of approximation andthe efficiency comparison of suggested class of estimators is made with otherexisting estimators, using both theoretically and numerically based on realpopulation sets.


Biometrika ◽  
1981 ◽  
Vol 68 (1) ◽  
pp. 341-343 ◽  
Author(s):  
SURENDRA K. SRIVASTAVA ◽  
HARBANS SINGH JHAJJ

2016 ◽  
Vol 46 (6) ◽  
pp. 2630-2637
Author(s):  
Housila P. Singh ◽  
Surya Kant Pal ◽  
Ramkrishna S. Solanki

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