NONLINEAR TIME SERIES;
RANDOM COEFFICIENT AUTOREGRESSIVE PROCESSES;
M-DEPENDENT PROCESSES;
LEAST SQUARES ESTIMATORS;
ASYMPTOTIC DISTRIBUTIONS;
REGRESSION;
D O I:
10.1016/0378-3758(93)90101-B
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:
The least squares estimators of the regression and the autoregression parameters are obtained for a regression model with random coefficient autoregressive errors. The limit distribution of the least squares estimators are obtained using a weighted central limit theorem for m-dependent processes. The proof of the weighted central limit theorem for m-dependent processes is also given.