Modified Estimators of Population Variance in Presence of Auxiliary Information

• Autorzy: Rajesh Tailor , Balkishan Sharma
• Języki publikacji: EN

Abstrakty

EN

This paper proposes estimator of population variance using information on known parameters of auxiliary variable. The variances of the proposed estimators are obtained. It has been shown that using modified sampling fraction the proposed estimators are more efficient than the usual unbiased estimator of population variance and usual ratio estimator for population variance under certain given conditions. Empirical study is also carried out to demonstrate the merits of the proposed estimators of population variance over other estimators considered in this paper. (original abstract)

Słowa kluczowe

EN

Estimators; Empirical researches; Statistics

PL

Estymatory; Badania empiryczne; Statystyka

• Czasopismo: Statistics in Transition
• Rocznik: 2012
• Tom: 13
• Numer: nr 1
• Strony: 37--46

Twórcy

autor

Rajesh Tailor

• Vikram University, Ujjain, India

autor

Balkishan Sharma

• Sri Aurobindo Institute of Medical Sciences

Bibliografia

• CEBRIAN, A.A. and GARCIA, R.M. (1997). Variance estimation using auxiliary information. An almost unbiased multivariable ratio estimator. Metrika, 45, 171-178.
• COCHRAN, W.G. (1977). Sampling Techniques. Third U. S. Edition. Wiley Eastern Limited, 325.
• DAS, A.K. and TRIPATHI T.P. (1978). Use of auxiliary information in estimating the finite population variance. Sankhya, C, 40, 139-148.
• GARCIA, M. RUEDA and CEBRIAN, A.A. (1996). Repeated substitution method. The ratio estimator of the population variance. Metrika, 43, 101-105.
• ISAKI, C.T. (1983). Variance estimation using auxiliary information, Journal of the American Statistical Association 78, 117-123.
• KADILAR, C. and CINGI, H. (2006). Ratio estimators for population variance in simple and stratified sampling, Applied Mathematics and Computation 173, 1047-1058, 2006.
• KADILAR, C. and CINGI, H. (2006). Improvement in variance estimation using auxiliary information, Hacettepe Journal of Mathematics and Statistics 35 (1), 111-115.
• MURTHY, M.N. (1967). Sampling theory and methods, statistical publishing society, Calcutta.
• SINGH, H. P. and TAILOR, R. (2003). Use of known correlation coefficient in estimating the finite population mean, "Statistics in Transition", 6, 555-560.
• SINGH, S. and JOARDER, A H. (1998). Estimation of finite population variance using random non- response in surveys sampling. Metrika,47, 241249.
• SINGH, H P. UPADHYAYA, L.N. NAMJOSHI, U.D. (1988). Estimation of finite population variance, Current Science 57, 1331-1334.
• SINGH, H.P. and SINGH, R. (2003). Estimation of variance through regression approach in two phase sampling. Alig. Jour. Stat., 23, 13-30.
• SRIVASTAVA, S.K. AND JHAJJ H.S. (1980). A class of estimators using auxiliary information for estimating finite population variance. Sankhya , C, 42, 87-96.
• UPADHYAYA, L.N. AND SINGH, H P. (1983). Use of auxiliary information in the estimation of population variance. Mathematical forum, 4, 2, 33-36.
• UPADHYAYA, L.N. and SINGH, H.P. (2006). Almost unbiased ratio and product-type estimators of finite population variance in sample surveys, Statist. in Transi.,7 5, 1087-1096.