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題 名 | Domain Splitting in Regression Analysis |
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作 者 | Muller,Hans-georg; Zhao,Peng-liang; | 書刊名 | Statistica Sinica |
卷 期 | 9:2 1999.04[民88.04] |
頁 次 | 頁571-594 |
分類號 | 319.5 |
關鍵詞 | Diagnostic plot; Goodness-of-fit; Linear model; Model selection; Smooth regression; Variance estimation; |
語 文 | 英文(English) |
英文摘要 | We introduce Domain Splitting as a new tool for regression analysis. This device corresponds to splitting the domain of a regression function into m subdomains, where m is varied, and fitting a linear model on each subdomain. The residual sums of squares from these various fits are compared graphically. Domain Splitting provides a visual diagnostic, as well as a model-independent estimate of the error variance. We investigate the asymptotic behavior of Domain Splitting for the cases of an underlying linear model and that of a smooth regression function. The asymptotic findings are illustrated in simulations and examples. |
本系統中英文摘要資訊取自各篇刊載內容。