SEASONAL UNIT ROOTS;
DETERMINISTIC TRENDS;
LAGRANGE MULTIPLIER TEST;
BROWNIAN BRIDGES;
D O I:
10.1016/0167-7152(93)90151-8
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:
Using the Lagrange multiplier principle, we develop test statistics for testing seasonal unit roots in a time series with possible deterministic trends. The asymptotic distributions of the test statistics are derived: they are functionals of stochastic integrals of standard Brownian bridges. Empirical percentiles of the test statistics for selected seasonal periods are provided.