# An improvement over regression method of estimation

## DOI:

https://doi.org/10.6092/issn.1973-2201/3656## Abstract

This paper suggested a class of estimators for the population mean of the study variable using information on an auxiliary variable with its properties under large sample approximation. The asymptotic optimum estimator in the proposed class has been identified with its properties. In addition, some existing estimators have been founded members of proposed class. It has been identified theoretically that the proposed class of estimators is better than the some traditional methods of estimation. An empirical study is carried out to judge the merits of proposed class over other competitors by using two natural population data sets.## References

C. KADILAR, H. CINGI (2003), A study on the chain ratio-type estimator, “Hacett. Jour. Math. Statist.”, 32, pp. 105-108.

C. KADILAR, H. CINGI (2004), Ratio estimators in simple random sampling, “Appl. Math. Comp.”, 151, 3, pp. 893-902.

D.J. WATSON (1937), The estimation of leaf area in field crops, “Jour. Agric Sci.”, 27, pp. 474-483.

D.S. ROBSON (1957), Application of multivariate polykays to the theory of unbiased ratio type estimators, “Jour. Amer. Statist. Assoc.”, 52, pp. 511-522.

G. DIANA (1993), A class of estimators of the population mean in stratified random sampling, “Statistica”, 53, 1, pp. 59-66.

H.P. SINGH, N. KARPE (2009), On the estimation of ratio and product of two population means using supplementary information in presence of measurement errors, “Statistica”, 69, 1, pp. 27-47.

H.P. SINGH, R. TAILOR (2005), Estimation of finite population mean using known correlation coefficient between auxiliary characters, “Statistica”, 65, 4, pp. 407-418.

H.P. SINGH, R.S. SOLANKI (2012), Improved estimation of population mean in simple random sampling using information on auxiliary attribute, “Appl. Math. Comp.”, 218, pp. 7798-7812.

L.N. UPADHYAYA, H.P. SINGH (1999), Use of transformed auxiliary variable in estimating the finite population mean, “Biometrical Jour.”, 41, 5, pp. 627-636.

M.N. HANSEN, W.N. HURWITZ, W.G. MADOW (1953), Sample Survey Methods and Theory, John Wiley and Sons, New York, USA.

M.N. MURTHY (1964), Product method of estimation, “Sankhya”, 26, pp. 69-74.

M.N. MURTHY (1967), Sampling Theory and Methods. Statistical Publishing Society, Calcutta, India.

P.K. BEDI, D. HAJELA (1984), An estimator for population mean utilizing know coefficient of variation and auxiliary variable, “Jour. Statist. Res.”, 18, pp. 29-33.

R.K. JAIN (1987), Properties of estimators in simple random sampling using auxiliary variable, “Metron”, 45, 1-2, pp.265-271.

S. SINGH (2003), Advanced Sampling Theory with Applications How Michael ‘selected’ Amy, Kluwer Academic Publishers, The Netherlands.

T.J. RAO (1991), On certain methods of improving ratio and regression estimators, “Commun. Statist. Theo. Meth.”, 20, 10, pp. 3325-3340.

V. DUBEY, S.K. SINGH (2001), An improved regression estimator for estimating population mean, “Jour. Ind. Soc. Agri. Statist.”, 54, pp. 179-183.

W.G. COCHRAN (1940), The estimation of the yields of cereal experiments by sampling for the ratio gain to total produce, “Jour. Agric. Soc.”, 30, pp. 262-275.

W.G. COCHRAN (1977), Sampling Techniques, John Wiley and Sons, New York, USA.

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*Statistica*,

*72*(4), 415–429. https://doi.org/10.6092/issn.1973-2201/3656

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