Least squares estimator for regression models with some deterministic time varying parameters

被引:3
作者
Boutahar, M
Deniau, C
机构
[1] FAC SCI LUMINY,DEPT MATH,F-13288 MARSEILLE 09,FRANCE
[2] GREQAM VIEILLE CHARITE,F-13002 MARSEILLE,FRANCE
关键词
martingale difference sequence; least squares; regression; rate of convergence;
D O I
10.1007/BF02613897
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 [统计学]; 070103 [概率论与数理统计]; 0714 [统计学];
摘要
Here we study the least squares estimates in some regression models. Fire assume that the evolution of the parameter is linearly explosive (i.e. polynomial), or stable (i.e. sinusoidal). We prove the strong consistency, and establish the rate of convergence.
引用
收藏
页码:57 / 67
页数:11
相关论文
共 11 条
[1]
Boutahar M., 1991, STOCHASTICS STOCHAST, V37, P105
[2]
CHEN H. F., 1991, Identification and Stochastic Adaptive Control
[3]
TRICKS OR TREATS WITH THE HILBERT MATRIX [J].
CHOI, MD .
AMERICAN MATHEMATICAL MONTHLY, 1983, 90 (05) :301-312
[4]
Chow G.C., 1983, ECONOMETRICS
[5]
ESTIMATION OF DYNAMIC-VARYING PARAMETERS BY THE INTERNAL MODEL PRINCIPLE [J].
DAVIDOV, G ;
SHAVIT, A ;
KOREN, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (04) :498-503
[6]
DUFLO M., 1990, Methodes Recursives Aleatoires
[7]
LEAST-SQUARES ESTIMATES IN STOCHASTIC REGRESSION-MODELS WITH APPLICATIONS TO IDENTIFICATION AND CONTROL OF DYNAMIC-SYSTEMS [J].
LAI, TL ;
WEI, CZ .
ANNALS OF STATISTICS, 1982, 10 (01) :154-166
[8]
LAI TL, 1978, P NATL ACAD SCI USA, P3034
[9]
KINETIC ASPECTS OF IMPREGNATION OF ALUMINA PELLETS WITH HEXACHLOROPLATINIC ACID [J].
SANTACESARIA, E ;
GALLI, C ;
CARRA, S .
REACTION KINETICS AND CATALYSIS LETTERS, 1977, 6 (03) :301-305
[10]
Stout W F., 1974, ALMOST SURE CONVERGE