M-ESTIMATION FOR A SPATIAL UNILATERAL AUTOREGRESSIVE MODEL WITH INFINITE VARIANCE INNOVATIONS

被引:9
作者
Roknossadati, S. M. [1 ]
Zarepour, M. [1 ]
机构
[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
GAUSS-NEWTON; LIMIT THEORY; CONVERGENCE;
D O I
10.1017/S0266466609990752
中图分类号
F [经济];
学科分类号
02 ;
摘要
We study the limiting behavior of the M-estimators of parameters for a spatial unilateral autoregressive model with independent and identically distributed innovations in the domain of attraction of a stable law with index alpha is an element of ( 0, 2]. Both stationary and unit root models and some extensions are considered. It is also shown that self-normalized M-estimators are asymptotically normal. A numerical example and a simulation study are also given.
引用
收藏
页码:1663 / 1682
页数:20
相关论文
共 39 条
[31]  
Resnick SI., 1987, EXTREME VALUES REGUL
[32]  
Samorodnitsky G., 1994, Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance. Stochastic Modeling
[33]   AUTOREGRESSIVE MODELING AND SPECTRAL-ANALYSIS OF ARRAY DATA IN THE PLANE [J].
TJOSTHEIM, D .
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 1981, 19 (01) :15-24
[35]   STATISTICAL SPATIAL SERIES MODELING [J].
TJOSTHEIM, D .
ADVANCES IN APPLIED PROBABILITY, 1978, 10 (01) :130-154
[36]  
van de Geer S.A., 2000, Cambridge Series in Statistical and Probabilistic Mathematics, V6
[38]  
WHITTLE P, 1954, BIOMETRIKA, V41, P434
[39]   Multivariate autoregression of order one with infinite variance innovations [J].
Zarepour, M. ;
Roknossadati, S. M. .
ECONOMETRIC THEORY, 2008, 24 (03) :677-695