In this paper, we consider the problem of estimation of population mean of a study variable by making use of first-phase sample mean and first-phase sample median of the auxiliary variable at the estimation stage. The proposed new estimator of the population mean is compared to the sample mean estimator, ratio estimator and the difference type estimator for the fixed cost of the survey by using the concept of two-phase sampling. The magnitude of the relative efficiency of the proposed new estimator has been investigated through simulation study
Two-phase sampling, relative efficiency, analytical and empirical comparison.
AMIN, M. N. U., SHAHBAZ, M. Q., KADILAR, C. (2016). Ratio estimators for population mean using robust regression in double sampling, Gael University Journal of Science, 29 (4), pp. 793–798.
COCHRAN, W. G., (1940). Some properties of estimators based on sampling scheme with varying probabilities, Austral. J. Statist., 17, pp. 22–28.
HANSEN, M. H., HURWITZ, W. N., MADOW, W. G., (1953). Sample survey methods and theory, New York, John Wiley and Sons, pp. 456–464.
KUK, A. Y. C., MAK, T. K. (1989). Median estimation in the presence of auxiliary information, J. R. Statist. Soc., B, 51, pp. 261–269.
LAMICHHANE, R., SINGH, S., DIAWARA, N., (2015). Improved Estimation of Population Mean Using Known Median of Auxiliary Variable, Communications in Statistics-Simulation and Computation, DOI:
10.1080/03610918.2015.1062102.
NEYMAN, J., (1938). Contribution to the theory of sampling human populations. J. Amer. Statist. Assoc., 33, pp. 101–116.
SANAULLAH, A., ALI, H. A., AMIN, M. N. U., HANIF, M., (2014). Generalized exponential chain ratio estimator under stratified two-phase random sampling. Applied Mathematics and Computation, 226, pp. 541–547.
SINGH, S., (2003). Advanced sampling theory with applications: How Michael selected Amy. Kluwer: The Academic Publisher, The Netherlands.
SINGH, S., JOARDER A. H., TRACY D. S., (2001). Median estimation using double sampling. Australian & New Zealand J. Statist., pp. 43, 33–46.
SINGH, S., SINGH, H. P., UPADHAYAYA, L. N., (2007). Chain ratio and regression type estimators for median estimation in survey sampling. Statistical Papers, 48 (1), pp. 23–46.
VISHWAKARMA, G. K., SINGH, H. P., (2011). Separate ratio-product estimator for estimating population mean using auxiliary information. Journal of Statistical Theory and Applications, 10 (4), pp. 653–664.
VISHWAKARMA, G. K., GANGELE, R. K., (2014). A class of chain ratio-type exponential estimators in double sampling using two auxiliary variates. Applied Mathematics and Computation, 227, pp. 171–175.
VISHWAKARMA, G. K., KUMAR, M., (2015). An efficient class of estimators for the mean of a finite population in two-phase sampling using multi auxiliary variates, Commun. Math. Stat., 3, pp. 477–489.