Asymptotics of the signed-rank estimator under dependent observations

被引:7
作者
Bindele, Huybrechts F. [1 ]
机构
[1] Univ S Alabama, Dept Math & Stat, Mobile, AL 36688 USA
关键词
Signed-rank norm; Strong consistency; Asymptotic normality; Stochastic mixing errors; STOCHASTIC REGRESSION-MODELS; LEAST-SQUARES ESTIMATORS; TIME-SERIES REGRESSION; NONLINEAR-REGRESSION; STRONG CONSISTENCY; STATISTICS;
D O I
10.1016/j.jspi.2013.09.009
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
In this paper, we consider a signed-rank estimator of nonlinear regression coefficients under stochastic errors. These errors include a wide array of applications in economic literature such as serial correlation, heteroscedasticity, autoregression, etc. General conditions for strong consistency and root T-asymptotic normality of the resulting estimator are provided. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:49 / 55
页数:7
相关论文
共 35 条
[1]   On the Consistency of a Class of Nonlinear Regression Estimators [J].
Abebe, Asheber ;
McKean, Joseph W. ;
Bindele, Huybrechts F. .
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2012, 8 (03) :543-555
[2]   STRONG CONSISTENCY OF LEAST-SQUARES ESTIMATES IN DYNAMIC-MODELS [J].
ANDERSON, TW ;
TAYLOR, JB .
ANNALS OF STATISTICS, 1979, 7 (03) :484-489
[3]  
Anderson TW, 1958, Wiley Publications in Statistics
[4]  
Andrews D.W., 1986, COWLES FDN DISCUSSIO, V790
[5]  
[Anonymous], 1967, THEORY RANK TESTS
[6]  
[Anonymous], STAT NEERL
[7]  
[Anonymous], 1971, INDEPENDENT STATIONA
[8]   The strong law of large numbers for L-statistics with dependent data [J].
Baklanov, E. A. .
SIBERIAN MATHEMATICAL JOURNAL, 2006, 47 (06) :975-979
[9]   Bounded influence nonlinear signed-rank regression [J].
Bindele, Huybrechts F. ;
Abebe, Asheber .
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2012, 40 (01) :172-189
[10]   RANK STATISTICS UNDER DEPENDENT OBSERVATIONS AND APPLICATIONS TO FACTORIAL-DESIGNS [J].
BRUNNER, E ;
DENKER, M .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1994, 42 (03) :353-378