Empirical likelihood confidence intervals for the differences of quantiles with missing data

Main Article Content

Lirong Wang

Abstract

Suppose there are two nonparametric populations X and Y with missing data on both of them. Random imputation is used to fill in missing data, so the “completeâ€samples of X and Y can be constructed. Then the empirical likelihood confidence intervals for the differences of quantile are constructed.


Key words:Empirical likelihood; Confidence interval; Quantile; Missing data; Imputation.


2000 MR subject classification: 62G05, 62E20

Downloads

Download data is not yet available.

Article Details

How to Cite
Wang, L. (2013). Empirical likelihood confidence intervals for the differences of quantiles with missing data. Journal of Global Research in Mathematical Archives(JGRMA), 1(1), 29–38. Retrieved from https://jgrma.com/index.php/jgrma/article/view/14
Section
Research Paper
Author Biography

Lirong Wang

Lirong Wang
The Department of computer science and technology, Humanities
& Science and Technology Institute of Hunan, Loudi, 417000, P.R.China

References

Qin Y, Zhao L. Empirical likelihood ratio intervals for the quantile differences of two populations[J]. Chinese Annals of Mathematics, 1997, 18A: 687-694.

Little R J , Rubin D B. Statistical analysis with missing data[M]. New York, 2002.

Qin Y, Rao J N K, Ren Q. Confidence intervals for marginal parameters under fractional linear regression imputation for missing data[J]. Journal of Statistical Planning and Inference, 2008, 8: 2283-2302.

Qin Y, Lei Q. On empirical likelihood for linear models with missing responses[J]. Journal of statistical planning and inference, 2010, 140: 3399-3408.

Owen A B. Empirical likelihood ratio confidence intervals for a single functional[J]. Biometrika, 1988, 75: 237-249.

Wang Q, Rao J N K. Empirical likelihood-based confidence in linear error-in-covariables models with validation data[J]. Biometrica, 2002a, 89: 345-358.

Wang Q, Rao J N K. Empirical likelihood-based inference under impitation for missing response data[J]. The Annals of Statistics, 2002b, 30:896-924.

Qin Y, Zhang J. Semi-empirical likelihood confidence intervals for the differences of quantiles with missing data[J]. Acta Mathematica Sinica, English Series, 2009,25(5):845-854.

Chen J, Rao J N K. Asymptotic normality under two-phase sampling designs[J]. Ststistica Sinica, 2007, 17: 1047-1064.

Qin Y, Zhang S. Empirical likelihood confidence intervals for differences between two datasets with missing data[J]. Pattern Recognition Letters, 2008,29(6):803-812.

Chen S, Hall P. Smoothed empirical likelihood confidence intervals for quantiles[J]. The Annals of Statistics, 1993, 21: 1166-1181 .