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作者：Bickel, PJ; Ritov, Y
作者单位：University of California System; University of California Berkeley; Hebrew University of Jerusalem
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作者：El Barmi, H; Mukerjee, H
作者单位：City University of New York (CUNY) System; Baruch College (CUNY); Wichita State University
摘要：A random variable X is symmetric about 0 if X and -X have the same distribution. There is a large literature on the estimation of a distribution function (DF) under the symmetry restriction and tests for checking this symmetry assumption. Often the alternative describes some notion of skewness or one-sided bias. Various notions can be described by an ordering of the distributions of X and -X. One such important ordering is that P(0 < X less than or equal to x) - P(-x less than or equal to X < ...
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作者：Lugosi, G; Vayatis, N
作者单位：Pompeu Fabra University; Sorbonne Universite; Universite Paris Cite
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作者：Kosorok, MR; Lee, BL; Fine, JP
作者单位：University of Wisconsin System; University of Wisconsin Madison; University of Wisconsin System; University of Wisconsin Madison; University of Wisconsin System; University of Wisconsin Madison; National University of Singapore
摘要：We consider a class of semiparametric regression models which are one-parameter extensions of the Cox [J. Roy. Statist. Soc. Ser B 34 (1972) 187-220] model for right-censored univariate failure times. These models assume that the hazard given the covariates and a random frailty unique to each individual has the proportional hazards form multiplied by the frailty. The frailty is assumed to have mean 1 within a known one-parameter family of distributions. Inference is based on a nonparametric li...
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作者：Zeng, DL
作者单位：University of North Carolina; University of North Carolina Chapel Hill
摘要：One goal in survival analysis of right-censored data is to estimate the marginal survival function in the presence of dependent censoring. When many auxiliary covariates are sufficient to explain the dependent censoring, estimation based on either a semiparametric model or a nonparametric model of the conditional survival function can be problematic due to the high dimensionality of the auxiliary information. In this paper, we use two working models to condense these high-dimensional covariate...
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作者：Efron, B; Hastie, T; Johnstone, I; Tibshirani, R
作者单位：Stanford University
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作者：Jiang, WX
作者单位：Northwestern University
摘要：Recent experiments and theoretical studies show that AdaBoost can overfit in the limit of large time. If running the algorithm forever is suboptimal, a natural question is how low can the prediction error be during the process of AdaBoost? We show under general regularity conditions that during the process of AdaBoost a consistent prediction is generated, which has the prediction error approximating the optimal Bayes error as the sample size increases. This result suggests that, while running ...
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作者：Dette, H; Melas, VB; Pepelyshev, A
作者单位：Ruhr University Bochum; Saint Petersburg State University
摘要：For a broad class of nonlinear regression models we investigate the local E- and c-optimal design problem. It is demonstrated that in many cases the optimal designs with respect to these optimality criteria are supported at the Chebyshev points, which are the local extrerna of the equi-oscillating best approximation of the function f(0) equivalent to 0 by a normalized linear combination of the regression functions in the corresponding linearized model. The class of models includes rational, lo...
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作者：Komaki, F
作者单位：University of Tokyo
摘要：Simultaneous predictive distributions for independent Poisson observables are investigated. A class of improper prior distributions for Poisson means is introduced. The Bayesian predictive distributions based on priors from the introduced class are shown to be admissible under the Kullback-Leibler loss. A Bayesian predictive distribution based on a prior in this class dominates the Bayesian predictive distribution based on the Jeffreys prior.
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作者：Luati, A
作者单位：University of Bologna
摘要：We deal with the maximization of classical Fisher information in a quantum system depending on an unknown parameter. This problem has been raised by physicists, who defined [Helstrom (1967) Phys. Lett. A 25 101-102] a quantum counterpart of classical Fisher information, which has been found to constitute an upper bound for classical information itself [Braunstein and Caves (1994) Phys. Rev. Lett. 72 3439-3443]. It has then become of relevant interest among statisticians, who investigated the r...
