Open Access Open Access  Restricted Access Subscription Access

A New Calibration Estimator of Population Mean in Two-Stage Sampling Design using Population Level Auxiliary Information

Manoj K. Chaudhary, Tulika Dutta, Basant K. Ray


The present paper deals with the problem of estimating the finite population mean in the presence of auxiliary information under two-stage sampling design. Calibration is a widely used technique which includes the auxiliary information in a sample survey to increase the precision of the estimates. In this paper, a calibration approach has been adopted to develop the new calibration estimator of the population mean by considering the known population level auxiliary information at both first and second stages. A brief discussion on the usual calibration estimator of the population mean has also been presented. A simulation study has been carried out to examine the performance of the proposed calibration estimator. The study reveals that the proposed calibration estimator performs very well as compared to the usual calibration estimator.


New Calibration Estimator; Population Mean; Two-Stage Sampling; Auxiliary Information; Simulation Study.

Full Text:



A. K. P. C. Swain; S. S. Mishra; B. K. Pradhan; On some predictive ratio type estimators in two stage sampling, Journal of Statistical Theory and Applications, 12(1) 83-91 (2013).

J. C. Deville; C. E. Särndal; Calibration estimators in survey sampling, Journal of the American statistical Association, 87(418) 376-382 (1992).

K. Aditya; U. C. Sud; H. Chandra; A. Biswas; Calibration based regression type estimator of the population total under two stage sampling design, Journal of the Indian Society of Agricultural Statistics, 70(1) 19-24 (2016).

L. N. Sahoo; P. Panda; A class of estimators in two-stage sampling with varying probabilities, South African Statistical journal, 31 151-160 (1997).

M. K. Chaudhary; V. K. Singh; Estimating the population mean in two-stage sampling with equal size clusters under non-response using auxiliary characteristic, Mathematical Journal of Interdisciplinary Sciences, 2(1) 43-55 (2013).

M. K. Chaudhary; V. K. Singh; C. Kadilar; Study of general families of estimators in two-stage sampling with unequal size clusters under non-response, Hacettepe Journal of Mathematics and Statistics, 46(6) 1139-1149 (2017).

M. Srivastava; N. Garg; A general class of estimators of finite population mean using multi-auxiliary information under two-stage sampling scheme, Journal of Reliability and Statistical Studies, 1(2) 103-118 (2009).

S. Kumar; Calibration approach based estimators of finite population mean in two-stage stratified random sampling, Int. J. Curr. Microbiol. App. Sci., 7(1) 1808-1815 (2018).

V. I. Salinas; S. A. Sedory; S. Singh; Calibrated estimators in two-stage sampling, Communications in Statistics: Theory and Methods, 48(6) 1449-1469 (2019).

W. E. Deming; F. F. Stephan; On a least squares adjustment of a sampled frequency table when the expected marginal totals are known, The Annals of Mathematical Statistics, 11 427–444 (1940).


  • There are currently no refbacks.



© 2015 IARS. All right reserved.