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线性统计模型中回归分位点的强相合性及渐近正态性

陈桂景 Sa,AKME

安徽大学学报(自然科学版)2000,Vol.24Issue(3):1-17,17.
安徽大学学报(自然科学版)2000,Vol.24Issue(3):1-17,17.

线性统计模型中回归分位点的强相合性及渐近正态性

Strong Consistency and Asymptotic Normality of Regression Quantiles in Linear Models

陈桂景 1Sa,AKME2

作者信息

  • 1. 安徽大学数学系,安徽合肥 230039
  • 2. Garleton大学数学系,渥太华 KIS 5B6,加拿大
  • 折叠

摘要

Abstract

This paper presents the large properties of‘regression quantiles' in linear models, establishing the strong consistency and asymptotic normality in similar form,modifying and extending the results about minimum l1 - norm estimates in linear models obtained by Chen, X.R., et al. (1990,1992).The results in this paper improve the corresponding results obtained by Koenker & Bassett(1978),Gutenburnner & Jure cková(1992),Jure cková & Prochazka(1994),and so on.

关键词

回归分位点/线性模型/强相合性/渐近正态性

Key words

regression quantile/linear model/strong consistency/asympototic normality

分类

数理科学

引用本文复制引用

陈桂景,Sa,AKME..线性统计模型中回归分位点的强相合性及渐近正态性[J].安徽大学学报(自然科学版),2000,24(3):1-17,17.

基金项目

This work is supported by the National Science Foundation of China and a Grant from the Natural Science(No. 19671001) and by NSERC Grant A3088 of Canada. (No. 19671001)

安徽大学学报(自然科学版)

OACSCDCSTPCD

1000-2162

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