VARIANCE ESTIMATION IN PRESENCE OF RANDOM NON-RESPONSE

Authors

  • Sunil Kumar Assistant Professor, Alliance University, Bangalore

Keywords:

Variance, Random Non Response, Study Variable, Auxiliary Variable.

Abstract

The goal of the paper is to advocate the problem of estimating the population variance of the study variance of the study variable using information on certain known parameters of the auxiliary variable in the presence of non-response. The proposed estimator is considered under two situations: i) when random non-response on study as well as auxiliary variable and population variance of auxiliary variable is known, and ii) when random non response on study variable and information on auxiliary variable is known with known population variance. Asymptotic expressions for bias and mean squared error of the proposed estimator have been obtained. Comparison of the proposed estimators with usual unbiased estimator has been carried out.

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References

Ahmeda, M. S., Al-Titi, O., Al-Rawi, Z. and Abu-Dayyeh, W. (2005).

Estimation of finite population variance in presence of random non-response

using auxiliary variables, Information and Management Sciences, 16, 2, p. 73-

Isaki, C. T. (1983). Variance estimation using auxiliary information, Journal of

the American Statistical Association, 78, p. 117-123.

Misra, S., Yadav, S. K. and Pandey, A. (2008). Ratio type estimator of square

of coefficient of variation using qualitative auxiliary information, Journal of

Reliability and Statistical Studies, Vol. 1, Issue 1, p. 42-47.

Olkin, I. (1958). Multivariate ratio estimation for finite population, Biometrika,

, p. 154-165.

Singh, H. P., Chandra, P. and Singh, S. (2003). Variance estimation using multi

auxiliary information for random non-response in survey sampling, Statistica,

LX III, 1, p. 23-40.

Singh. S. (2003). Advanced sampling theory with applications: How Michael

“selected” Amy. p. 1-1194. “Kluwer Academic Publisher, The Netherlands” (In

press).

Singh, S. and Joarder, A. H. (1998). Estimation of finite population variance

using random non-response in survey sampling, Metrika, 47, p. 241-249.

Singh, H P and Solanki, RS (2011). Estimation of finite population mean using

random non response in survey sampling, PJSOR, Vol. 7, No. 1, p. 21-41.

Singh, H P and Tracy, DS (2001). Estimation of population mean in presence of

random non response in sample surveys, Statistica, LXI, p. 231-248.

Singh, S., Joarder, A H. and Tracy, D. S. (2000). Regression type estimators for

random non-response in survey sampling, Statistica, LX, 1, p. 39-44.

Singh, H. P., Tailor,R., Kim, J. and Singh, S. (2012). Families of estimators of

finite population variance using a random non-response in survey sampling,

The Korean Journal of Applied Statistics, 25(4), p. 681-695.

Subramani, J. and Kumarapandiyan (2012). Variance estimation using median

of auxiliary variable, International Journal of Probability and Statistics, 1(3), p.

-66.

Tiwari, N. and Chilwal, A. (2014). Empirical comparison of various

approximate estimatorsof the variance of Horwitz Thompson estimator under

split method of sampling, Journal of Reliability and Statistical Studies, Vol. 7,

Issue 1, p. 51-60.

Tracy, D. S. and Osahan, S. S. (1994). Random non-response on study variable

versus on study as well as auxiliary variables, Statistica, LIV, 2, p. 163-168.

Yadav, S. K. and Kadilar, C. (2013). A class of ratio-cum-dual to ratio

estimator of population variance, Journal of Reliability and Statistical Studies,

Vol. 6, Issue 1, p. 29-34.

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Published

2014-12-01

How to Cite

Kumar, S. . (2014). VARIANCE ESTIMATION IN PRESENCE OF RANDOM NON-RESPONSE. Journal of Reliability and Statistical Studies, 7(02), 65–70. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/21141

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