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作者：HUNG, C
摘要：Since the pioneering work of Friedman and Stuetzle in 1981, projection-pursuit algorithms have attracted increasing attention. This is mainly due to their potential for overcoming or reducing difficulties arising in nonparametric regression models associated with the so-called curse of dimensionality, that is, the amount of data required to avoid an unacceptably large variance increasing rapidly with dimensionality. Subsequent work has, however, uncovered a dependence on dimensionality for pro...
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作者：CAOABAD, R
摘要：This paper concerns the distributions used to construct confidence intervals for the regression function in a nonparametric setup. Some rates of convergence for the normal limit, its plug-in approach and the wild bootstrap are obtained conditionally on the explanatory variable X and also unconditionally. The bound found for the wild bootstrap approximation is slightly better (by a factor n-1/45) than the bounds given by the plug-in approach or the CLT for the conditional probability. On the co...
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作者：MENG, XL; BASSIAKOS, Y; LO, SH
作者单位：Northeastern University; Columbia University
摘要：The estimation of the treatment effect in the two-sample problem with right censoring is of interest in survival analysis. In this article we consider both the location shift model and the scale change model. We establish the large-sample properties of a generalized Hodges-Lehmann type estimator. The strong consistency is established under the minimal possible conditions. The asymptotic normality is also obtained without imposing any conditions on the censoring mechanisms. As a by-product, we ...
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作者：ARCONES, MA; GINE, E
作者单位：City University of New York (CUNY) System; City University of New York (CUNY) System; College of Staten Island (CUNY)
摘要：The Kolmogorov distance between the empirical cdf F(n) and its symmetrization sF(n) with respect to an adequate estimator of the center of symmetry of P is a natural statistic for testing symmetry. However, its limiting distribution depends on P. Using critical values from the symmetrically bootstrapped statistic (where the resampling is made from sF(n)) produces tests that can be easily implemented and have asymptotically the correct levels as well as good consistency properties. This article...
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作者：LIN, ML; DEAN, AM
摘要：Some general results on the existence of trend-free and partially trend-free designs are given for both varietal and factorial experiments. In particular, trend-free properties of cyclic and generalized cyclic designs are investigated. It is shown that, for factorial experiments, certain designs which are not completely trend-free are nevertheless trend-free for estimating a subset of the main effect and interaction contrasts.
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作者：CHAUDHURI, P
作者单位：University of Wisconsin System; University of Wisconsin Madison
摘要：Let (X,Y) be a random vector such that X is d-dimensional, Y is real valued and Y = theta-(X) + epsilon, where X and epsilon-are independent and the alpha-th quantile of epsilon-is 0 (alpha-is fixed such that 0 < alpha < 1). Assume that theta-is a smooth function with order of smoothness p > 0, and set r = (p - m)/(2p + d), where m is a nonnegative integer smaller than p. Let T(theta) denote a derivative of theta-of order m. It is proved that there exists a pointwise estimate T triple-over-dot...
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作者：BARRON, AR; XIAO, XG
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作者：GHOSH, S
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作者：ALBERS, W
摘要：In this paper we present a rank analogue to Stein's two-stage procedure. We analyze its behavior to second order using existing asymptotic expansions for fixed sample size rank tests and recent results on combinations of independent rank statistics.
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作者：MAMMEN, E
摘要：The problem of estimating a smooth monotone regression function m will be studied. We will consider the estimator m(SI) consisting of a smoothing step (application of a kernel estimator based on a kernel K) and of a isotonisation step (application of the pool adjacent violator algorithm). The estimator m(SI) will be compared with the estimator m(IS) where these two steps are interchanged. A higher order stochastic expansion of these estimators will be given which show that m(SI) and m(IS) are ...
