Abstract
References
- Das, A.K. and Tripathi, T.P. Sampling strategies for population mean when coefficient of variation of an auxiliary character is known, Sankhya 42(C), 76–86, 1980.
- Kadırlar, C. and C¸ ıngı, H. Improvement in variance estimation using auxiliary information, Hacettepe Journal of Mathematics and Statistics 35(1), 111–115, 2006.
- Kadılar, C. and C¸ ıngı, H. Improvement in variance estimating in simple random sampling, Communications in Statistics: Theory and Methods 36(11), 2075–2081, 2007.
- Kendall, M. and Stuart, A. The advanced theory of statistics: Distribution Theory, Vol.1 (London:Griffin, 1963).
- Savcı, A.E. The bio-ecology of Centaurea Tchihatcheffii Fischer ve Meyer (Asteraceae) in the vicinity of Ankara-G¨olba¸sı, (M.Sc. Thesis (Turkish), Faculty of Science, Hacettepe University, Ankara, 2007).
- Tripathi, T.P., Singh, H.P. and Upadhyaya, L.N. A general method of estimation and its application to the estimation of coefficient of variation, Statistics in Transition 5(6), 887– 908, 2002.
- Unyazıcı, Y. 2008, Variance estimation methods in some sampling designs (PhD. Thesis (Turkish), pp. 131, Faculty of Science, Hacettepe University, 2008).
Abstract
We suggest a generalized class of estimators for the population variance
using an auxiliary variable. Triphati et al. (T.P. Tripathi, Singh, H.P.
and Upadhyaya, L.N. A general method of estimation and its application to the estimation of coefficient of variation, Statistics in Transition
5(6), 887–908, 2002) proposed some generalized estimators for a population parameter. By adapting these estimators to population variance,
we develop some estimators. We obtain the mean square error (MSE)
equation of the proposed estimators. We illustrate the results with an
application using original data.
Keywords
Variance estimation Ratio estimator Auxiliary variable Bias Minimum mean square error 2000 AMS Classification: 62D05
References
- Das, A.K. and Tripathi, T.P. Sampling strategies for population mean when coefficient of variation of an auxiliary character is known, Sankhya 42(C), 76–86, 1980.
- Kadırlar, C. and C¸ ıngı, H. Improvement in variance estimation using auxiliary information, Hacettepe Journal of Mathematics and Statistics 35(1), 111–115, 2006.
- Kadılar, C. and C¸ ıngı, H. Improvement in variance estimating in simple random sampling, Communications in Statistics: Theory and Methods 36(11), 2075–2081, 2007.
- Kendall, M. and Stuart, A. The advanced theory of statistics: Distribution Theory, Vol.1 (London:Griffin, 1963).
- Savcı, A.E. The bio-ecology of Centaurea Tchihatcheffii Fischer ve Meyer (Asteraceae) in the vicinity of Ankara-G¨olba¸sı, (M.Sc. Thesis (Turkish), Faculty of Science, Hacettepe University, Ankara, 2007).
- Tripathi, T.P., Singh, H.P. and Upadhyaya, L.N. A general method of estimation and its application to the estimation of coefficient of variation, Statistics in Transition 5(6), 887– 908, 2002.
- Unyazıcı, Y. 2008, Variance estimation methods in some sampling designs (PhD. Thesis (Turkish), pp. 131, Faculty of Science, Hacettepe University, 2008).
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | February 1, 2008 |
| Published in Issue | Year 2008 Volume: 37 Issue: 2 |