Ratio-cum-product type exponential estimator
DOI:
https://doi.org/10.6092/issn.1973-2201/3561Abstract
This paper addresses the problem of estimating the population mean of the study variate Y using information on two auxiliary variables X1 and X2 . A ratio-cum-product type exponential estimator has been suggested and its bias and mean squared error have been derived under large sample approximation. An almost unbiased ratio-cum-product type exponential estimator has also been derived by using Jackknife technique envisaged by Quenouille (1956). A generalized version of the ratio-cum-product exponential estimator has also been given along with its properties. Numerical illustration is given in support of the present study.
References
H. P. SINGH (1987), A class of almost unbiased ratio and product type estimators for finite population mean applying Quenouilles method, “Journal of Indian Society of Agricultural Statistics” , 39, pp. 280-288.
H. P. SINGH, R. TAILOR (2005), Estimation of finite population mean using known correlation coefficient between auxiliary characters, “Statistica” , Anno LXV, 4, pp. 407-418.
M. P. SINGH (1965), On the estimation of ratio and product of population parameters, “Sankhya”, 27,B, pp. 321-328.
M. H. QUENOUILLE (1956), Notes on bias in estimation, “Biometrika”, 43, pp. 353-360.
R. G. D. STEEL, M. P. TORRIE (1956), Principles and Procedures of Statistics, McGraw Hill Book Co. New York.
S. BAHL, R. K. TUTEJA (1991), Ratio and product type exponential estimator, “Information and Optimization Sciences”, 12, 1, pp. 159-163.
T. JOHNSTON (1972), Econometrics Methods, McGraw Hill, New York.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2009 Statistica
Copyrights and publishing rights of all the texts on this journal belong to the respective authors without restrictions.
This journal is licensed under a Creative Commons Attribution 4.0 International License (full legal code).
See also our Open Access Policy.
