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題名 Robust Diagnostics for Heteroscedastic Regression Model
作者 鄭宗記
Cheng, Tsung-Chi
貢獻者 統計系
關鍵詞 Forward search algorithm;
     Heteroscedasticity;
     Maximum trimmed likelihood estimator;
     Residual maximum likelihood estimator;
     Outlier;
     Robust diagnostics
日期 2011-04
上傳時間 6-Oct-2010 11:21:44 (UTC+8)
摘要 The assumption of equal variance in the normal regression model is not always appropriate. Cook and Weisberg (1983) provide a score test to detect heteroscedasticity, while Patterson and Thompson (1971) propose the residual maximum likelihood (REML) estimation to estimate variance components in the context of an unbalanced incomplete-block design. REML is often preferred to the maximum likelihood estimation as a method of estimating covariance parameters in a linear model. However, outliers may have some effect on the estimate of the variance function. This paper incorporates the maximum trimming likelihood estimation (Hadi and Luceño, 1997 and Vandev and Neykov, 1998) in REML to obtain a robust estimation of modelling variance heterogeneity. Both the forward search algorithm of Atkinson (1994) and the fast algorithm of Neykov et al. (2007) are employed to find the resulting estimator. Simulation and real data examples are used to illustrate the performance of the proposed approach.
關聯 Computational Statistics & Data Analysis, 55(4), 1845-1866
資料來源 http://dx.doi.org/10.1016/j.csda.2010.11.024
資料類型 article
dc.contributor 統計系-
dc.creator (作者) 鄭宗記zh_TW
dc.creator (作者) Cheng, Tsung-Chi-
dc.date (日期) 2011-04en_US
dc.date.accessioned 6-Oct-2010 11:21:44 (UTC+8)-
dc.date.available 6-Oct-2010 11:21:44 (UTC+8)-
dc.date.issued (上傳時間) 6-Oct-2010 11:21:44 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/46105-
dc.description.abstract (摘要) The assumption of equal variance in the normal regression model is not always appropriate. Cook and Weisberg (1983) provide a score test to detect heteroscedasticity, while Patterson and Thompson (1971) propose the residual maximum likelihood (REML) estimation to estimate variance components in the context of an unbalanced incomplete-block design. REML is often preferred to the maximum likelihood estimation as a method of estimating covariance parameters in a linear model. However, outliers may have some effect on the estimate of the variance function. This paper incorporates the maximum trimming likelihood estimation (Hadi and Luceño, 1997 and Vandev and Neykov, 1998) in REML to obtain a robust estimation of modelling variance heterogeneity. Both the forward search algorithm of Atkinson (1994) and the fast algorithm of Neykov et al. (2007) are employed to find the resulting estimator. Simulation and real data examples are used to illustrate the performance of the proposed approach.-
dc.language.iso en_US-
dc.relation (關聯) Computational Statistics & Data Analysis, 55(4), 1845-1866en_US
dc.source.uri (資料來源) http://dx.doi.org/10.1016/j.csda.2010.11.024-
dc.subject (關鍵詞) Forward search algorithm;
     Heteroscedasticity;
     Maximum trimmed likelihood estimator;
     Residual maximum likelihood estimator;
     Outlier;
     Robust diagnostics
-
dc.title (題名) Robust Diagnostics for Heteroscedastic Regression Modelen_US
dc.type (資料類型) articleen