Second order representations of the least absolute deviation regression estimator

被引：4

作者：

Arcones, MA ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 1998年 / 50卷 / 01期

关键词：

least absolute deviation; regression; empirical processes;

D O I：

10.1023/A:1003401414732

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider exact weak and strong Bahadur-Kiefer representations of the least absolute deviation estimator for the linear regression model. The precise behavior of these representations is obtained under minimal conditions.

引用

页码：87 / 117

页数：31

共 20 条

[1] SOME STRONG LIMIT-THEOREMS FOR M-ESTIMATORS [J].

ARCONES, MA .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1994, 53 (02) :241-268

[2] The Bahadur-Kiefer representation of L(p) regression estimators [J].

Arcones, MA .

ECONOMETRIC THEORY, 1996, 12 (02) :257-283

[3]

ARCONES MA, 1995, M ESTIMATORS CONVERG

[4]

ARCONES MA, 1995, UNPUB STOCHASTIC PRO

[5] STRONG REPRESENTATIONS FOR LAD ESTIMATORS IN LINEAR-MODELS [J].

BABU, GJ .

PROBABILITY THEORY AND RELATED FIELDS, 1989, 83 (04) :547-558

[6]

BAI ZD, 1989, GUJARAT STAT REV, V16, P13

[7] ASYMPTOTIC THEORY OF LEAST ABSOLUTE ERROR REGRESSION [J].

BASSETT, G ;

KOENKER, R .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1978, 73 (363) :618-622

[8]

Bloomfield P., 1983, LEAST ABSOLUTE DEVIA

[9] ON THE ASYMPTOTIC THEORY OF FIXED-WIDTH SEQUENTIAL CONFIDENCE-INTERVALS FOR THE MEAN [J].

CHOW, YS ;

ROBBINS, H .

ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (02) :457-462

[10] M-ESTIMATION FOR AUTOREGRESSIONS WITH INFINITE VARIANCE [J].

DAVIS, RA ;

KNIGHT, K ;

LIU, J .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1992, 40 (01) :145-180

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