کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1146371 | 957506 | 2011 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Testing model assumptions in functional regression models
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز عددی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Testing model assumptions in functional regression models Testing model assumptions in functional regression models](/preview/png/1146371.png)
چکیده انگلیسی
In the functional regression model where the responses are curves, new tests for the functional form of the regression and the variance function are proposed, which are based on a stochastic process estimating L2L2-distances. Our approach avoids the explicit estimation of the functional regression and it is shown that normalized versions of the proposed test statistics converge weakly. The finite sample properties of the tests are illustrated by means of a small simulation study. It is also demonstrated that for small samples, bootstrap versions of the tests improve the quality of the approximation of the nominal level.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 102, Issue 10, November 2011, Pages 1472–1488
Journal: Journal of Multivariate Analysis - Volume 102, Issue 10, November 2011, Pages 1472–1488
نویسندگان
Axel Bücher, Holger Dette, Gabriele Wieczorek,