In this paper, we have proposed a class of modified ratio type variance estimator for estimation of population variance of the study variable, when Tri Mean and Quartile average of the auxiliary variable are known. The bias and mean square error (MSE) of the proposed estimator are obtained. From the numerical study it is observed that the proposed estimator performs better than the existing estimators in the literature.
| Published in | American Journal of Biological and Environmental Statistics (Volume 3, Issue 1) |
| DOI | 10.11648/j.ajbes.20170301.12 |
| Page(s) | 5-9 |
| 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), 2017. Published by Science Publishing Group |
Simple Random Sampling, Bias, Mean Square Error, Tri-mean, Quartile Average, Auxiliary Variable
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APA Style
Showkat Maqbool, Shakeel Javaid. (2017). Variance Estimation Using Linear Combination of Tri-mean and Quartile Average. American Journal of Biological and Environmental Statistics, 3(1), 5-9. https://doi.org/10.11648/j.ajbes.20170301.12
ACS Style
Showkat Maqbool; Shakeel Javaid. Variance Estimation Using Linear Combination of Tri-mean and Quartile Average. Am. J. Biol. Environ. Stat. 2017, 3(1), 5-9. doi: 10.11648/j.ajbes.20170301.12
AMA Style
Showkat Maqbool, Shakeel Javaid. Variance Estimation Using Linear Combination of Tri-mean and Quartile Average. Am J Biol Environ Stat. 2017;3(1):5-9. doi: 10.11648/j.ajbes.20170301.12
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Download@article{10.11648/j.ajbes.20170301.12,
author = {Showkat Maqbool and Shakeel Javaid},
title = {Variance Estimation Using Linear Combination of Tri-mean and Quartile Average},
journal = {American Journal of Biological and Environmental Statistics},
volume = {3},
number = {1},
pages = {5-9},
doi = {10.11648/j.ajbes.20170301.12},
url = {https://doi.org/10.11648/j.ajbes.20170301.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajbes.20170301.12},
abstract = {In this paper, we have proposed a class of modified ratio type variance estimator for estimation of population variance of the study variable, when Tri Mean and Quartile average of the auxiliary variable are known. The bias and mean square error (MSE) of the proposed estimator are obtained. From the numerical study it is observed that the proposed estimator performs better than the existing estimators in the literature.},
year = {2017}
}
TY - JOUR T1 - Variance Estimation Using Linear Combination of Tri-mean and Quartile Average AU - Showkat Maqbool AU - Shakeel Javaid Y1 - 2017/02/09 PY - 2017 N1 - https://doi.org/10.11648/j.ajbes.20170301.12 DO - 10.11648/j.ajbes.20170301.12 T2 - American Journal of Biological and Environmental Statistics JF - American Journal of Biological and Environmental Statistics JO - American Journal of Biological and Environmental Statistics SP - 5 EP - 9 PB - Science Publishing Group SN - 2471-979X UR - https://doi.org/10.11648/j.ajbes.20170301.12 AB - In this paper, we have proposed a class of modified ratio type variance estimator for estimation of population variance of the study variable, when Tri Mean and Quartile average of the auxiliary variable are known. The bias and mean square error (MSE) of the proposed estimator are obtained. From the numerical study it is observed that the proposed estimator performs better than the existing estimators in the literature. VL - 3 IS - 1 ER -
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