Improved Product type Estimator for Estimation of Population Mean

Rizwan Yousuf¹ , Khalid Ul Islam Rather²

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.2 , pp.5-7, Apr-2021

Online published on Apr 30, 2021

Copyright © Rizwan Yousuf, Khalid Ul Islam Rather . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this manuscript, when the linear combination of median and correlation coefficient of the auxiliary variable is defined, we propose an adapted product estimator of population mean. When the correlation between the study variable and the auxiliary variable is negative, product estimators are used, as seen in this article. Our proposed estimators` Bias and Mean Squared Error (MSE) have been calculated. Our proposed estimator performs better in contrast, according to a theoretical review. The determined mean square error stamps the performance in addition to the numerical analysis.

Key-Words / Index Term :
Auxiliary variable, bias, MSE, product estimator, simple random sampling.

References :
[1] Subramani, J. A new median based ratio estimator for estimation of the finite population mean. Statistics in Transition. New Series, 17(4), pp.591-604 (2016).
[2] Subramani, J. A new modified ratio estimator for estimation of population mean when median of the auxiliary variable is known. Pakistan Journal of Statistics and Operation Research, 9(2), pp.137-145 (2013).
[3] Subramani, J., and Kumarapandiyan, G. Estimation of population mean using known correlation coefficient and median. Journal of Statistical Theory and Applications, 13(4), pp.333-343 (2014).
[4] Subramani, J., and Kumarap, G. Modified ratio estimators for population mean using function of quartiles of auxiliary variable. Bonfring International Journal of Industrial Engineering and Management Science, 2(2), pp.19-23 (2012).
[5] Shittu, O. I., and Adepoju, K. A. On the efficiency of modified ratio estimator based on linear combination of kurtosis, median and quartile deviation. International Journal of Modern Mathematical Sciences, 11(2), pp.103-107 (2014).
[6] Subramani, J., and Prabavathy, G. Median based modified ratio estimators with known quartiles of an auxiliary variable. Journal of Modern Applied Statistical Methods, 13(1), pp.15-22 ( 2014).
[7] Subramani, J., and Kumarapandiyan, G. Estimation of population mean using known median and co-efficient of skewness. American Journal of Mathematics and Statistics, 2(5), pp.101-107 (2012).
[8] Subramani, J., and Prabavathy, G. Median based modified ratio estimators with known skewness and correlation coefficient for the estimation of finite population mean. Journal of Reliability and Statistical Studies, 8(1),( 2015 ) 23-30
[9] Kumar, S. An estimator of the mean estimation of study variable using median of auxiliary variable. Sri Lankan Journal of Applied Statistics, 16(2), 2015
[10] Subramani, J., and Kumarapandiyan, G. Estimation of population mean using co-efficient of variation and median of an auxiliary variable. International Journal of Probability and Statistics, 1(4), pp.111-118 (2012).
[11] Sharma, P., and Singh, R. Generalized class of estimators for population median using auxiliary information. Hacettepe Journal of Mathematics and Statistics, 44(2), pp.443-453, (2015).
[12] Singh, S. Advanced Sampling Theory With Applications: How Michael"" Selected"" Amy. Springer Science & Business Media, Vol. 2 (2003)
[13] Yadav, S. K., Gupta, S., Mishra, S. S., and Shukla, A. K. Modified Ratio and Product Estimators for Estimating Population Mean in Two-Phase Sampling. American Journal of Operational Research, 6(3), pp.61-68 (2016),
[14] Sukhatme, P. V. Sampling theory of surveys with applications. The Indian Society Of Agricultural Statistics; New Delhi, (1957)
[15] W. Cohran, Sampling Techniques, Newyork: John Wiley, (1977).
[16] M.N Murthy. Sampling Theory and Methods, (1967)
[17] Md. ZahidHasan, Ali Hasan, A New Regression Type Estimator and its Industrial Application, Conference paper, 1st national Conference on Application of Statistics on Sustainable Development Goals, Tangail, Bangladesh, (2018 )
[18] Rather, K.U.I and Yousuf, R. Improved Estimator for Estimating the Population Mean In Simple Random Sampling.International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(5) pp.16-18, (2020).