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作者：Huang, LS
摘要：A test for the one-sample goodness-of-fit problem is proposed. The test is based on a distance that measures the difference, in terms of roughness, between the underlying density function and the hypothesized density function. One advantage of using a roughness measure is high power in detecting high-frequency alternatives and densities with sharp features. The test statistic that estimates the distance is derived from the viewpoint of kernel density estimation, and a testing procedure is deve...
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作者：Kettenring, JR
作者单位：Telcordia Technologies
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作者：Choi, K; Marden, J
作者单位：Hongik University; University of Illinois System; University of Illinois Urbana-Champaign
摘要：A class of multivariate rank-like quantities is defined and used to develop multivariate tests to mimic popular one-dimensional rank tests such as the Mann-Whitney/Wilcoxon two-sample test, the Jonckheere-Terpstra test for trend, and the Kruskal-Wallis one-way analysis of variance test. Tests in one-way analysis of variance are developed based on qualitative orthogonal contrasts, allowing decomposition of an overall statistic into asymptotically independent components based on the contrasts. T...
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作者：Olshen, AB; O'Sullivan, F
作者单位：Stanford University; Stanford University; University of Washington; University of Washington Seattle; University of Washington; University of Washington Seattle
摘要：Camouflaged deconvolution arises when the kernel in a simple convolution model is not completely specified. We consider a situation in which the same fixed signal is repeatedly measured by separate convolutions with imprecisely known kernels. We develop a regularization methodology for application to these problems. The method involves simultaneous estimation of the target signal and the unknown parameters of the convolution kernels. Cross-validation is used to determine the degree of smoothne...
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作者：Linton, OB; Chen, R; Wang, NS; Hardle, W
作者单位：Yale University; Texas A&M University System; Texas A&M University College Station; Humboldt University of Berlin
摘要：We consider a nonparametric regression model with a parametric family of dependent variable transformations, one of which induces additive covariate effects. We estimate the additive regression effects using the integration method and estimate the transformation parameter from a profiled instrumental variable and pseudolikelihood criterion. The asymptotic distributions of the parameter and regression estimates are given. The practical performance is investigated via an application.
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作者：Goutis, C
作者单位：Universidad Carlos III de Madrid
摘要：This article presents a method for estimating the latent distribution of a mixture model. The method is motivated by the standard kernel density estimation, but instead of using an estimate based on the unobserved latent variables, it takes the expectation with respect to their distribution conditional on the data. The resulting estimator is continuous and hence appropriate when there is a strong belief in the continuity of the mixing distribution. An asymptotic justification is presented, and...
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作者：Brunner, E; Dette, H; Munk, A
作者单位：University of Gottingen; Ruhr University Bochum
摘要：Linear rank statistics in nonparametric factorial designs are asymptotically normal and, in general, heteroscedastic. In a comprehensive simulation study, the asymptotic chi-squared law of the corresponding quadratic forms is shown to be a rather poor approximation of the finite-sample distribution. Motivated by this problem, we propose simple finite-sample size approximations for the distribution of quadratic forms in factorial designs under a normal heteroscedastic error structure. These app...
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作者：Durazo-Arvizu, R; McGee, D; Li, ZH; Cooper, R
作者单位：Mayo Clinic; Loyola University Chicago
摘要：Many studies have demonstrated a nonmonotonic relationship between mortality and body mass index (BMI), with excess mortality occurring at both low and high levels. Although much discussion and many different analyses have appeared, to our knowledge no attempt has been made to quantitatively establish the BMI at which minimum mortality (BMImin) occurs or to establish confidence intervals for this BMI, accounting for the asymmetry of the relationship. We model the nonmonotonic relationship betw...
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作者：Strawderman, RL; Wells, MT
作者单位：University of Michigan System; University of Michigan; Cornell University
摘要：In clinical trials and other settings, confidence intervals for survival probabilities at a fixed point in time are often required. Typically, such intervals are constructed on the cumulative hazard scale; the quantiles required for computing these intervals are generally obtained using a first-order normal theory approximation. The appropriateness of such intervals for small sample sizes or under moderate to heavy censoring is suspect. We demonstrate that significant improvement is possible f...
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作者：Allard, D; Fraley, C
作者单位：University of Washington; University of Washington Seattle
摘要：This article addresses the problem of estimating the support domain of a bounded point process in presence of background noise. This situation occurs, for example, in the detection of a minefield from aerial observations. A maximum likelihood estimator for a mixture of uniform point processes is derived using a natural partition of the space defined by the data themselves: the Voronoi tessellation. The methodology is tested on simulations and compared to a model-based clustering technique.
