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題名 Testing Symmetry of a NIG Distribution
作者 張揖平;洪明欽;劉惠美
Chang, Yi-Ping ; Hung, Ming-Chin ; Liu, Huimei ; Jan, Jian-Feng
日期 2005-12
上傳時間 19-Dec-2008 14:51:47 (UTC+8)
摘要 Heavy-tailed and skewed distributions have recently appeared in many empirical financial studies and many researchers have found that the normal inverse Gaussian (NIG) distribution fits these stylized nonnormal data well and is at the same time analytically tractable. In this article, we propose a likelihood ratio test (LRT) for symmetry of a NIG distribution. Due to the complexity of the likelihood function, an EM type algorithm proposed by Karlis (2002) is used to find the maximum likelihood estimates of the NIG distribution. The conclusions from a simulation study show that the LRT is usually able to achieve the desired significance levels and the testing power increases as the asymmetry increases, i.e., the proposed LRT is successful in detecting the asymmetric behavior of the NIG distribution.
關聯 Communications in Statistics: Simulation and Computation, 34(4),851-862
資料類型 article
DOI http://dx.doi.org/10.1080/03610910500307877
dc.creator (作者) 張揖平;洪明欽;劉惠美zh_TW
dc.creator (作者) Chang, Yi-Ping ; Hung, Ming-Chin ; Liu, Huimei ; Jan, Jian-Feng-
dc.date (日期) 2005-12en_US
dc.date.accessioned 19-Dec-2008 14:51:47 (UTC+8)-
dc.date.available 19-Dec-2008 14:51:47 (UTC+8)-
dc.date.issued (上傳時間) 19-Dec-2008 14:51:47 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/18159-
dc.description.abstract (摘要) Heavy-tailed and skewed distributions have recently appeared in many empirical financial studies and many researchers have found that the normal inverse Gaussian (NIG) distribution fits these stylized nonnormal data well and is at the same time analytically tractable. In this article, we propose a likelihood ratio test (LRT) for symmetry of a NIG distribution. Due to the complexity of the likelihood function, an EM type algorithm proposed by Karlis (2002) is used to find the maximum likelihood estimates of the NIG distribution. The conclusions from a simulation study show that the LRT is usually able to achieve the desired significance levels and the testing power increases as the asymmetry increases, i.e., the proposed LRT is successful in detecting the asymmetric behavior of the NIG distribution.-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Communications in Statistics: Simulation and Computation, 34(4),851-862en_US
dc.title (題名) Testing Symmetry of a NIG Distributionen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1080/03610910500307877en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1080/03610910500307877en_US