Polish Statistical Association

Central Statistical Office of Poland

**Subject:** Economics, Statistics & Probability

**ISSN:** 1234-7655

**eISSN:** 2450-0291

SEARCH WITHIN CONTENT

Archive

Volume 22
(2021)

Volume 21
(2020)

Volume 20
(2019)

Volume 19
(2018)

Volume 18
(2017)

Volume 17
(2016)

Volume 16
(2015)

Related articles

J. Subramani
^{*}

**Keywords : **
bias,
linear regression estimator,
mean squared error,
natural population,
simple random sampling.

**Citation Information : **
Statistics in Transition New Series. Volume 17,
Issue 4,
Pages 591-604,
DOI: https://doi.org/10.21307/stattrans-2016-042

**License : **
(CC BY 4.0)

**Published Online: ** 06-July-2017

- ARTICLE
- FIGURES & TABLES
- REFERENCES
- EXTRA FILES
- COMMENTS

The present paper deals with a new median based ratio estimator for the estimation of finite population means in the absence of an auxiliary variable. The bias and mean squared error of the proposed median based ratio estimator are obtained. The performance of the median based ratio estimator is compared with that of the SRSWOR sample mean, ratio estimator and linear regression estimator for certain natural population. It is shown from the numerical comparisons that the proposed median based ratio estimator outperforms the SRSWOR sample mean, ratio estimator and also the linear regression estimator.

- COCHRAN, W. G., (1977). Sampling techniques, Third Edition, Wiley Eastern Limited, USA.
- KADILAR, C., CINGI, H., (2004). Ratio estimators in simple random sampling, Applied Mathematics and Computation, 151, pp. 893–902.

[CROSSREF] - KADILAR, C., CINGI, H., (2006a). An improvement in estimating the population mean by using the correlation co-efficient, Hacettepe Journal of Mathematics and Statistics, 35 (1), pp. 103–109.
- KADILAR, C., CINGI, H., (2006b). Improvement in estimating the population mean in simple random sampling, Applied Mathematics Letters, 19, pp. 75–79.

[CROSSREF] - KADILAR, C., CINGI, H., (2009). Advances in sampling theory - Ratio method of estimation, Bentham Science Publishers.

[CROSSREF] - KOYUNCU, N., KADILAR, C., (2009). Efficient estimators for the population mean, Hacettepe Journal of Mathematics and Statistics, 38(2), pp. 217–225.
- MUKERJEE, R., SENGUPTA, S., (1990). Optimal estimation of a finite population mean in the presence of linear trend, Biometrika, 77, pp. 625–630.

[CROSSREF] - MUKHOPADHYAY, P., (2005). Theory and methods of survey sampling, PHI Learning, 2nd edition, New Delhi.
- MURTHY, M. N., (1967). Sampling theory and methods, Statistical Publishing Society, Calcutta, India.
- SINGH, G.N., (2003). On the improvement of product method of estimation in sample surveys, Journal of Indian Society of Agricultural Statistics, 56 (3), pp. 267–265.
- SINGH, D., CHAUDHARY, F. S., (1986). Theory and analysis of sample survey designs, New Age International Publisher, New Delhi.
- SINGH, H. P., KAKRAN, M., (1993). A modified ratio estimator using known coefficient of kurtosis of an auxiliary character, Revised version submitted to Journal of Indian Society of Agricultural Statistics.
- SINGH, H. P., TAILOR, R., (2003). Use of known correlation coefficient in estimating the finite population means, Statistics in Transition, 6 (4), pp. 555–560.
- SINGH, H. P., TAILOR, R., (2005). Estimation of finite population mean with known co-efficient of variation of an auxiliary variable, Statistica, anno LXV, 3, pp. 301–313.
- SISODIA, B. V. S., DWIVEDI, V. K., (1981). A modified ratio estimator using co-efficient of variation of auxiliary variable, Journal of the Indian Society of Agricultural Statistics, 33 (2), pp. 13–18.
- SUBRAMANI, J., (2013). Generalized modified ratio estimator of finite population mean, Journal of Modern Applied Statistical Methods, 12 (2), pp. 121–155.
- SUBRAMANI, J., KUMARAPANDIYAN, G., (2012a). Estimation of population mean using coefficient of variation and median of an auxiliary variable, International Journal of Probability and Statistics, 1 (4), pp. 111–118.

[CROSSREF] - SUBRAMANI, J., KUMARAPANDIYAN, G., (2012b). Modified ratio estimators using known median and coefficient of kurtosis, American Journal of Mathematics and Statistics, 2 (4), pp. 95–100.

[CROSSREF] - SUBRAMANI, J., KUMARAPANDIYAN, G., (2012c). Estimation of population mean using known median and coefficient of skewness, American Journal of Mathematics and Statistics, 2 (5), pp. 101–107.

[CROSSREF] - SUBRAMANI, J., KUMARAPANDIYAN, G., (2013a). Estimation of population mean using deciles of an auxiliary variable, Statistics in Transition-New Series, 14 (1), pp. 75–88.
- SUBRAMANI, J., KUMARAPANDIYAN, G., (2013b). A new modified ratio estimator of population mean when median of the auxiliary variable is known, Pakistan Journal of Statistics and Operation Research, Vol. 9 (2), pp. 137–145.

[CROSSREF] - TAILOR, R., SHARMA, B., (2009). A modified ratio-cum-product estimator of finite population mean using known coefficient of variation and coefficient of kurtosis, Statistics in Transition-New Series, 10 (1), pp. 15–24.

[CROSSREF] - TIN, M., (1965). Comparison of some ratio estimators, Journal of the American Statistical Association, 60, pp. 294–307.

[CROSSREF] - YAN, Z., TIAN, B., (2010). Ratio method to the mean estimation using coefficient of skewness of auxiliary variable, ICICA 2010, Part II, CCIS 106, pp. 103–11.

[CROSSREF]