Podrobná bibliografia
| Názov: |
Confidence Intervals for Nonparametric Regression Functions with Missing Data. |
| Autori: |
Qin, Yongsong, Qiu, Tao, Lei, Qingzhu |
| Zdroj: |
Communications in Statistics: Theory & Methods; Oct2014, Vol. 43 Issue 19, p4123-4142, 20p |
| Predmety: |
CONFIDENCE intervals, NONPARAMETRIC estimation, REGRESSION analysis, MATHEMATICAL functions, MISSING data (Statistics), EMPIRICAL research |
| Abstrakt: |
Suppose that we have a nonparametric regression modelY=m(X) + ε withX∈Rp, whereXis a random design variable and is observed completely, andYis the response variable and someY-values are missing at random. Based on the “complete” data sets forYafter nonaprametric regression imputation and inverse probability weighted imputation, two estimators of the regression functionm(x0) for fixedx0∈Rpare proposed. Asymptotic normality of two estimators is established, which is used to construct normal approximation-based confidence intervals form(x0). We also construct an empirical likelihood (EL) statistic form(x0) with limiting distribution of χ21, which is used to construct an EL confidence interval form(x0). [ABSTRACT FROM PUBLISHER] |
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