Generalized Class of Variance Estimators under Two-Phase Sampling for Partial Information Case


Abstract


This paper considers a class of generalized estimators for estimating the unknown population variance using two auxiliary variables when mean of one auxiliary variable may not be available. The expressions for bias and mean square error of the proposed estimators are obtained up to the first order of approximation. Conditions for which the proposed generalized estimator is more efficient than the existing estimators have been derived. Both empirical and simulation studies have also been carried out to analyze the efficiency of the proposed estimators with some existing estimators.


DOI Code: 10.1285/i20705948v12n1p44

Keywords: Population variance; auxiliary variable; Exponential Estimator; Two-Phase sampling

References


Abu-Dayyeh, W. and Ahmed, M. (2005). Ratio and regression estimators for the variance

under two-phase sampling. International Journal of Statistical Sciences, 4:49{56.

Adichwal, N.K., S. P. V. H. and Singh, R. (2015). Generalized class of estimators

for population variances using information on two auxiliary variables. International

Journal of Applied and Computational Mathematics, 37(1):651{661.

Ahmed, M.S., R. M. and Hossain, M. (2002). Some competitive estimators of _nite

population variance multivariate auxiliary information. Information and Management

Science's, 11(1):49{54.

Asghar, A., S. A. and Hanif, M. (2014). Generalized exponential type estimator for

population variance in survey sampling. RevistaColombiana de Estadistica, 37(1):211{

Cochran, W. (1977). Sampling Techniques. John Wiley.

Graunt, J. (1662). Natural and political observations upon the Bill of Mortality. John

Martyn.

Isaki, C. (1983). Variance estimation using auxiliary information. Journal of American

Statistical Association, 78(1):117{123.

Khan, H., S. S. and Sanaullah, A. (2012). A class of improved estimators for estimating

population mean regarding partial information in double sampling. Global Journal of

Science Frontier Research Mathematics and Decision Sciences, 12(14):2249{4626.

Roy, D. (2003). A regression type estimates in two-phase sampling using two auxiliary

variables. Pakistan Journal of Statistics, 19(3):281{290.

Samiuddin, A. and Hanif, M. (2007). Estimation of population mean in single phase

and two phase sampling with or without additional information. Pakistan Journal of

Statistics, 23(2):99{118.

Sanaullah, A., H. M. and Asghar, A. (2016). Generalized exponential estimators for

population variance under two-phase sampling. , International Journal of Applied

Electronic Journal of Applied Statistical Analysis 9

and Computational Mathematics, 2(1):75{84.

Singh, R., C. P. S. N. and Smarandache, F. (2011). Improved exponential estimator for

population variance using two auxiliary variables. Italian Journal Pure and Applied

Mathematics, 28(N):101{108.

Singh, R., K. M. C. M. and Kadilar, C. (2009). Improved exponential estimator in

strati_ed random sampling. Pakistan Journal of Statistics and Operation Research,

:67{82.

Solanki, R. and Singh, H. (2013). An improved class of estimators for the population

variance. Model Assisted Statistics and Applications, 4:49{56.

Yadav, S. K. and Kadilar, C. (2013). Improved exponential type ratio estimator of

population variance. Revista Colombiana de Estadstica, 36(1):145{152.


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