In this paper, a class of double sampling difference cum ratio - type estimator using two auxiliary variables was proposed for estimating the finite population mean of the variable of interest. The expression for the bias and the mean square error of the proposed estimators are derived; in addition, some members of the class of the estimator are identified. The conditions under which the proposed estimators perform better than the sample mean and the existing double sampling ratio type estimators are derived. The empirical analysis showed that the proposed class of estimator performs better than the existing estimators considered in this study.
| Published in | American Journal of Theoretical and Applied Statistics (Volume 8, Issue 1) |
| DOI | 10.11648/j.ajtas.20190801.15 |
| Page(s) | 31-38 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Mean Square Error (MSE), Ratio Estimator, Double Sampling, Percent Relative Efficiency (PRE), Auxiliary Variables
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APA Style
Akingbade Toluwalase Janet, Okafor Fabian Chinemelu. (2019). Class of Difference Cum Ratio–Type Estimator in Double Sampling Using Two Auxiliary Variables with Some Known Population Parameters. American Journal of Theoretical and Applied Statistics, 8(1), 31-38. https://doi.org/10.11648/j.ajtas.20190801.15
ACS Style
Akingbade Toluwalase Janet; Okafor Fabian Chinemelu. Class of Difference Cum Ratio–Type Estimator in Double Sampling Using Two Auxiliary Variables with Some Known Population Parameters. Am. J. Theor. Appl. Stat. 2019, 8(1), 31-38. doi: 10.11648/j.ajtas.20190801.15
AMA Style
Akingbade Toluwalase Janet, Okafor Fabian Chinemelu. Class of Difference Cum Ratio–Type Estimator in Double Sampling Using Two Auxiliary Variables with Some Known Population Parameters. Am J Theor Appl Stat. 2019;8(1):31-38. doi: 10.11648/j.ajtas.20190801.15
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Download@article{10.11648/j.ajtas.20190801.15,
author = {Akingbade Toluwalase Janet and Okafor Fabian Chinemelu},
title = {Class of Difference Cum Ratio–Type Estimator in Double Sampling Using Two Auxiliary Variables with Some Known Population Parameters},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {8},
number = {1},
pages = {31-38},
doi = {10.11648/j.ajtas.20190801.15},
url = {https://doi.org/10.11648/j.ajtas.20190801.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20190801.15},
abstract = {In this paper, a class of double sampling difference cum ratio - type estimator using two auxiliary variables was proposed for estimating the finite population mean of the variable of interest. The expression for the bias and the mean square error of the proposed estimators are derived; in addition, some members of the class of the estimator are identified. The conditions under which the proposed estimators perform better than the sample mean and the existing double sampling ratio type estimators are derived. The empirical analysis showed that the proposed class of estimator performs better than the existing estimators considered in this study.},
year = {2019}
}
TY - JOUR T1 - Class of Difference Cum Ratio–Type Estimator in Double Sampling Using Two Auxiliary Variables with Some Known Population Parameters AU - Akingbade Toluwalase Janet AU - Okafor Fabian Chinemelu Y1 - 2019/04/01 PY - 2019 N1 - https://doi.org/10.11648/j.ajtas.20190801.15 DO - 10.11648/j.ajtas.20190801.15 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 31 EP - 38 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.20190801.15 AB - In this paper, a class of double sampling difference cum ratio - type estimator using two auxiliary variables was proposed for estimating the finite population mean of the variable of interest. The expression for the bias and the mean square error of the proposed estimators are derived; in addition, some members of the class of the estimator are identified. The conditions under which the proposed estimators perform better than the sample mean and the existing double sampling ratio type estimators are derived. The empirical analysis showed that the proposed class of estimator performs better than the existing estimators considered in this study. VL - 8 IS - 1 ER -
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