自助法分位数回归估计量

Bootstrapping Quantile Regression Estimators

Econometric Theory · 1995
被引 243 · 同刊同年前 7%
人大 A-ABS 4

中文导读

证明了在确定性或随机回归元下,自助法分布弱收敛于分位数回归估计量的极限分布,因此自助百分位法构造的置信区间具有渐近正确的覆盖概率。

Abstract

The asymptotic variance matrix of the quantile regression estimator depends on the density of the error. For both deterministic and random regressors, the bootstrap distribution is shown to converge weakly to the limit distribution of the quantile regression estimator in probability. Thus, the confidence intervals constructed by the bootstrap percentile method have asymptotically correct coverage probabilities.

分位数回归自助法渐近方差置信区间