Efficient Hierarchic Predictive Multivariate Product Estimator Based On Harmonic Mean

K.B. Panda; P. Das

doi:https://doi.org/10.14445/22315373/IJMTT-V56P558

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 6 | Year 2018 | Article Id. IJMTT-V56P558 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P558

Efficient Hierarchic Predictive Multivariate Product Estimator Based On Harmonic Mean

K.B. Panda, P. Das

Citation :

K.B. Panda, P. Das, "Efficient Hierarchic Predictive Multivariate Product Estimator Based On Harmonic Mean," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 6, pp. 437-442, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P558

Abstract

−In this paper, extending the work of hierarchic estimation proposed by Agrawal and Sthapit(1997), we define a multivariate product estimator using harmonic means of multi-auxiliary variables which conforms to predictive character. Furthermore, it has been shown that the proposed multivariate product estimator of order k, when k is determined optimally, fares better than its competitors both in terms of bias and mean square error under some practical conditions. Empirical investigations in support of the theoretical findings have been carried out.

Keywords

Hierarchic multivariate product estimator, auxiliary information, harmonic mean

References

1. Agrawal, M.C. & Sthapit, A. B. (1997): Hierarchic predictive ratio-based & product-based estimators and their efficiencies. Journal of Applied Statistics, VoI. 24, No-1, 97-104.
2. Agrawal, M.C. & Panda, K.B.(1993): Multivariate product estimators, Jour. Ind. Soc. Ag. Statistics, 45(3).359-371.
3. Basu, D.(1971): An essay on the logical foundations of statistical inference, Part I, Foundations of Statistical Inference, Ed. By V.P. Godambe and D.A. Sportt, New York, 203-233.
4. Panda, K.B. and Sahoo, N.(2015): Systems of exponential ratio-based and exponential product-based estimators with their efficiency. ISOR Journal of Mathematics, Volume 11, Issue 3 Ver.I(May-June),PP 73-77.
5. Weisberg, S. (1980): Applied linear regression analysis, John Wiley & Sons, Inc., New York.