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題名 Constructing Smooth Tests without Estimating the Eigenpairs of the Limiting Process
作者 徐士勛
Hsu, Shih-Hsun; Kuan, Chung-Ming
貢獻者 經濟系
關鍵詞 Data-driven method; Eigenpairs; Fourier representation; Karhunen–Loève expansion; Smooth test
日期 2014.01
上傳時間 12-May-2014 15:51:43 (UTC+8)
摘要 Based on the well known Karhunen–Loève expansion, it can be shown that many omnibus tests lack power against “high frequency” alternatives. The smooth tests of Neyman (1937) may be employed to circumvent this power deficiency problem. Yet, such tests may be difficult to compute in many applications. In this paper, we propose a more operational approach to constructing smooth tests. This approach hinges on a Fourier representation of the postulated empirical process with known Fourier coefficients, and the proposed test is based on the normalized principal components associated with the covariance matrix of finitely many Fourier coefficients. The proposed test thus needs only standard principal component analysis that can be carried out using most econometric packages. We establish the asymptotic properties of the proposed test and consider two data-driven methods for determining the number of Fourier coefficients in the test statistic. Our simulations show that the proposed tests compare favorably with the conventional smooth tests in finite samples.
關聯 Journal of Econometrics, 178 part 1 , 71-79
資料類型 article
DOI http://dx.doi.org/10.1016/j.jeconom.2013.08.007
dc.contributor 經濟系en_US
dc.creator (作者) 徐士勛zh_TW
dc.creator (作者) Hsu, Shih-Hsun; Kuan, Chung-Mingen_US
dc.date (日期) 2014.01en_US
dc.date.accessioned 12-May-2014 15:51:43 (UTC+8)-
dc.date.available 12-May-2014 15:51:43 (UTC+8)-
dc.date.issued (上傳時間) 12-May-2014 15:51:43 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/65961-
dc.description.abstract (摘要) Based on the well known Karhunen–Loève expansion, it can be shown that many omnibus tests lack power against “high frequency” alternatives. The smooth tests of Neyman (1937) may be employed to circumvent this power deficiency problem. Yet, such tests may be difficult to compute in many applications. In this paper, we propose a more operational approach to constructing smooth tests. This approach hinges on a Fourier representation of the postulated empirical process with known Fourier coefficients, and the proposed test is based on the normalized principal components associated with the covariance matrix of finitely many Fourier coefficients. The proposed test thus needs only standard principal component analysis that can be carried out using most econometric packages. We establish the asymptotic properties of the proposed test and consider two data-driven methods for determining the number of Fourier coefficients in the test statistic. Our simulations show that the proposed tests compare favorably with the conventional smooth tests in finite samples.en_US
dc.format.extent 446926 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Journal of Econometrics, 178 part 1 , 71-79en_US
dc.subject (關鍵詞) Data-driven method; Eigenpairs; Fourier representation; Karhunen–Loève expansion; Smooth testen_US
dc.title (題名) Constructing Smooth Tests without Estimating the Eigenpairs of the Limiting Processen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/j.jeconom.2013.08.007en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.jeconom.2013.08.007en_US