Model check by kernel methods under weak moment conditions
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abstract
In this paper, we study the moment conditions of the kernel smoothing tests. By comparing the similarity between kernel tests to non-smoothing tests, we suggest that the finite high-order moment conditions required to derive the limiting distributions of kernel tests are not necessary for the kernel bootstrap tests to work in finite sample applications. Simulation results strongly support our conjecture. 2001 Elsevier Science B.V. All rights reserved.