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作者：Hall, P; Kang, KH
作者单位：Australian National University; Hankuk University Foreign Studies
摘要：We examine the way in which empirical bandwidth choice affects distributional properties of nonparametric density estimators. Two bandwidth selection methods are considered in detail: local and global plug-in rules. Particular attention is focussed on whether the accuracy of distributional bootstrap approximations is appreciably influenced by using the resample version (h) over cap*, rather than the sample version (h) over cap, of an empirical bandwidth. It is shown theoretically that, in mark...
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作者：James, LF; Preibe, CE; Marchette, DJ
作者单位：Johns Hopkins University; United States Department of Defense; United States Navy
摘要：The consistent estimation of mixture complexity is of fundamental importance in many applications of finite mixture models. An enormous body of literature exists regarding the application, computational issues and theoretical aspects of mixture models when the number of components is known, but estimating the unknown number of components remains an area of intense research effort. This article presents a semiparametric methodology yielding almost sure convergence of the estimated number of com...
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作者：Dette, H; Neumeyer, N
作者单位：Ruhr University Bochum
摘要：In the problem of testing the equality of k regression curves from independent samples, we discuss three methods using nonparametric estimators of the regression function. The first test is based on a linear combination of estimators for the integrated variance function in the individual samples and in the combined sample. The second approach transfers the classical one-way analysis of variance to the situation of comparing nonparametric curves, while the third test compares the differences be...
