SENSITIVITY ANALYSIS IN FUNCTIONAL REGRESSION MODELS FOR SCALAR RESPONSES
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概要
- 論文の詳細を見る
In this paper, we propose a method of sensitivity analysis in functional regression models for scalar responses. We define a Cook's D type distance in functional regression analysis (FRA) based on two kinds of influence functions: 1) Empirical Influence Function (EIF), 2) Sample Influence function (SIF). In ordinary regression analysis (ORA), the Cook's D distance can be expressed as a function of residual and leverage. We define diagnostic statistics which correspond to residual and leverage in ORA, and show our Cook's D type distances in FRA are functions of these diagnostic statistics. We give a numerical example to show the properties of two types of Cook's D type distance and these diagnostic statistics.
- 日本計算機統計学会の論文
著者
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Tanaka Yutaka
Department of Cardiology, Kokura Medical Hospital
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Fueda Kaoru
Graduate School Of Environmental Science Okayama University
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Harasawa Norihiro
Graduate School of Natural Science and Technology, Okayama University
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Tanaka Yutaka
Department Of Cardiology Kokura Memorial Hospital
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Harasawa Norihiro
Graduate School Of Natural Science And Technology Okayama University
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Tanaka Yutaka
Department Of Mathematical Sciences Nanzan University
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Tanaka Yutaka
Department Of Astronomy Kyoto University
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