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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 5 | Year 2020 | Article Id. IJMTT-V66I5P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I5P523

Comparison of Three Estimators through Simulation Technique


Jakkula Srinivas, D.Vijaya Laxmi
Abstract

The objective of this paper is to compare the three estimators namely, Mean per unit, Ratio and Regression estimators with respect to relative bias and relative efficiency using Monte carlo simulation for the four bivariate populations viz., Uniform, Exponential, Normal and Double exponential.

Keywords
Simple random sampling, Mean per unit, Ratio estimator, Regression estimator, Relative bias, Relative efficiency and Simulation
References

[1] Basu, D (1958), “On Sampling with and without Replacement”, Sankhya, 20, pp 287-294.
[2] Cochran, W.G. (1977),”Sampling Techniques”, 3rd edition, Wiley Eastern, New Delhi.
[3] Deng, L.Y. and Wu, C.F.J., (1987), “Estimators of Variance of the Regression Estimator”, Jour. Amer. Stat. Assoc., 82, pp 568-576.
[4] Des Raj (1968), “Sampling Theory”, McGraw-Hill, New York.
[5] Fuller, W.A. (1975),”Regression Analysis of Sample Surveys”, Sankhya, C, 37, pp 117-132.
[6] Kennedy, William J, (1980), “Statistical Computing”, Statistics, text books and monographs, Vol, 33, pp 133-245.
[7] Mukhopadhyay, P (1998), “Theory and Methods of Survey Sampling”, Prentice Hall of India, Pvt. Ltd., New Delhi.
[8] Murthy, M.N., (1967), “Sampling Theory and Methods”, Statistical Publishing Society, Culcutta.
[9] Rao, J.N.K. and Beegle, L.D., (1967), “A Monte Carlo Study of Some Ratio Estimators”, Sankhya, B29, pp 47-56.
[10] Rao, J.N.K., (1968), “Some Small Sample Results in Ratio and Regression Estimation”, J. Ind. Stat. Assoc., 6, pp 160-168.

Citation :

Jakkula Srinivas, D.Vijaya Laxmi, "Comparison of Three Estimators through Simulation Technique," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 5, pp. 167-175, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I5P523

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