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題名 Unit root testing in the presence of heavy-tailed GARCH errors
作者 Wang,Gaowen;Mao,Wei-Lin
貢獻者 政大經濟系
關鍵詞 augmented Dickey–Fuller tests;Lindeberg condition;martingale invariance principle;self-normalized sums
日期 2008-05
上傳時間 16-Sep-2013 17:31:46 (UTC+8)
摘要 We derive the asymptotic distributions of the Dickey–Fuller (DF) and augmented DF (ADF) tests for unit root processes with Generalized Autoregressive Conditional Heteroscedastic (GARCH) errors under fairly mild conditions. We show that the asymptotic distributions of the DF tests and ADF t-type test are the same as those obtained in the independent and identically distributed Gaussian cases, regardless of whether the fourth moment of the underlying GARCH process is finite or not. Our results go beyond earlier ones by showing that the fourth moment condition on the scaled conditional errors is totally unnecessary. Some Monte Carlo simulations are provided to illustrate the finite-sample-size properties of the tests.
關聯 Australian & New Zealand Journal of Statistics, 50(3), 273-292
資料類型 article
DOI http://dx.doi.org/10.1111/j.1467-842X.2008.00517.x
dc.contributor 政大經濟系en_US
dc.creator (作者) Wang,Gaowen;Mao,Wei-Linen_US
dc.date (日期) 2008-05en_US
dc.date.accessioned 16-Sep-2013 17:31:46 (UTC+8)-
dc.date.available 16-Sep-2013 17:31:46 (UTC+8)-
dc.date.issued (上傳時間) 16-Sep-2013 17:31:46 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/60961-
dc.description.abstract (摘要) We derive the asymptotic distributions of the Dickey–Fuller (DF) and augmented DF (ADF) tests for unit root processes with Generalized Autoregressive Conditional Heteroscedastic (GARCH) errors under fairly mild conditions. We show that the asymptotic distributions of the DF tests and ADF t-type test are the same as those obtained in the independent and identically distributed Gaussian cases, regardless of whether the fourth moment of the underlying GARCH process is finite or not. Our results go beyond earlier ones by showing that the fourth moment condition on the scaled conditional errors is totally unnecessary. Some Monte Carlo simulations are provided to illustrate the finite-sample-size properties of the tests.en_US
dc.format.extent 185044 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Australian & New Zealand Journal of Statistics, 50(3), 273-292en_US
dc.subject (關鍵詞) augmented Dickey–Fuller tests;Lindeberg condition;martingale invariance principle;self-normalized sumsen_US
dc.title (題名) Unit root testing in the presence of heavy-tailed GARCH errorsen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1111/j.1467-842X.2008.00517.x-
dc.doi.uri (DOI) http://dx.doi.org/10.1111/j.1467-842X.2008.00517.x-