CONSISTENCY OF A CLASS OF INFORMATION CRITERIA FOR MODEL SELECTION IN NONLINEAR-REGRESSION

被引:6
作者
HAUGHTON, D [1 ]
机构
[1] UNIV LOWELL,LOWELL,MA 01854
基金
美国国家科学基金会;
关键词
MODEL SELECTION; INFORMATION CRITERIA; BIC; GIC; CONSISTENCY IN PROBABILITY; NONLINEAR REGRESSION;
D O I
10.1080/03610929108830587
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 prove the consistency in probability of a class of generalized BIC criteria for model selection in non-linear regression, by using asymptotic results of Gallant. This extends a result obtained by Nishii for model selection in linear regression.
引用
收藏
页码:1619 / 1629
页数:11
相关论文
共 29 条
[1]   NEW LOOK AT STATISTICAL-MODEL IDENTIFICATION [J].
AKAIKE, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (06) :716-723
[2]  
[Anonymous], 1973, 2 INT S INF THEOR AC
[4]   POWER OF LIKELIHOOD RATIO TEST OF LOCATION IN NONLINEAR-REGRESSION MODELS [J].
GALLANT, AR .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1975, 70 (349) :198-203
[5]  
GALLANT AR, 1975, I STATISTICS MIMEOGR, V875
[6]  
GALLANT AR, 1987, NONLINEAR STATISTICA
[7]   NON-LINEAR TIME SERIES REGRESSION [J].
HANNAN, EJ .
JOURNAL OF APPLIED PROBABILITY, 1971, 8 (04) :767-&
[8]   THE ESTIMATION OF THE ORDER OF AN ARMA PROCESS [J].
HANNAN, EJ .
ANNALS OF STATISTICS, 1980, 8 (05) :1071-1081
[9]  
HANNAN EJ, 1979, J ROY STAT SOC B MET, V41, P190
[10]  
HANNAN EJ, 1981, J MULTIVARIATE ANAL, V11, P458