random coefficient autoregressive time series;
parameter estimation;
quasi-maximum likelihood;
consistency;
asymptotic normality;
D O I:
10.1111/j.1467-9892.2005.00453.x
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We propose the quasi-maximum likelihood method to estimate the parameters of an RCA(1) process, i.e. a random coefficient autoregressive time series of order 1. The strong consistency and the asymptotic normality of the estimators are derived under optimal conditions.