Time series with unit roots and infinite-variance disturbances
被引:10
作者:
Rachev, ST
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机构:
Univ Calif Santa Barbara, Dept Stat & Appl Probabil, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Stat & Appl Probabil, Santa Barbara, CA 93106 USA
Rachev, ST
[1
]
Mittnik, S
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机构:Univ Calif Santa Barbara, Dept Stat & Appl Probabil, Santa Barbara, CA 93106 USA
Mittnik, S
Kim, JR
论文数: 0引用数: 0
h-index: 0
机构:Univ Calif Santa Barbara, Dept Stat & Appl Probabil, Santa Barbara, CA 93106 USA
Kim, JR
机构:
[1] Univ Calif Santa Barbara, Dept Stat & Appl Probabil, Santa Barbara, CA 93106 USA
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.