Time series with unit roots and infinite-variance disturbances

被引:10
|
作者
Rachev, ST [1 ]
Mittnik, S
Kim, JR
机构
[1] Univ Calif Santa Barbara, Dept Stat & Appl Probabil, Santa Barbara, CA 93106 USA
[2] Univ Kiel, Inst Econ & Stat, D-24098 Kiel, Germany
关键词
time series with infinite-variance disturbances; unit root test; asymptotic distribution; stable non-Gaussian distribution;
D O I
10.1016/S0893-9659(98)00082-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We derive asymptotic distributions of the OLS estimators of mu and beta, as well as t-statistics for the unit root test, H-0: beta = 1 in the first-order autoregressive model y(t) = mu + beta y(t-1) + u(t), when disturbances, u(t), follow a stable Paretian distribution with infinite variance. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
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页码:69 / 74
页数:6
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