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https://scholarbank.nus.edu.sg/handle/10635/104932
| Title: | A goodness-of-fit test for single-index models | Authors: | Xia, Y. Li, W.K. Tong, H. Zhang, D. |
Keywords: | Bias correction Bootstrap Cramér-von Mises test Goodness of fit Local linear smoother Single-index model |
Issue Date: | Jan-2004 | Citation: | Xia, Y.,Li, W.K.,Tong, H.,Zhang, D. (2004-01). A goodness-of-fit test for single-index models. Statistica Sinica 14 (1) : 1-28. ScholarBank@NUS Repository. | Abstract: | The single-index model with an unknown link function is a generalized linear model that has been intensively investigated. This article considers a goodness-of-fit test for this model. Cramér-von Mises tests are constructed and the bootstrap method is used to provide p-values. The problem of bias in nonparametric estimation is tackled by the bootstrap method. Therefore, we do not need to undersmooth or oversmooth the link function. Some simulations are reported and some data are used for illustration. | Source Title: | Statistica Sinica | URI: | http://scholarbank.nus.edu.sg/handle/10635/104932 | ISSN: | 10170405 |
| Appears in Collections: | Staff Publications |
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