Empirical likelihood confidence intervals for the differences of quantiles with missing data
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 “complete”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
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 .
Refbacks
- There are currently no refbacks.