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作者:Janssen, A; Pauls, T
作者单位:Heinrich Heine University Dusseldorf
摘要:Resampling methods are frequently used in practice to adjust critical values of nonparametric tests. In the present paper a comprehensive and unified approach for the conditional and unconditional analysis of linear resampling statistics is presented. Under fairly mild assumptions we prove tightness and an asymptotic series representation for their weak accumulation points. From this series it becomes clear which part of the resampling statistic is responsible for asymptotic normality. The res...
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作者:Zhu, Y
作者单位:Purdue University System; Purdue University
摘要:A general approach to studying fractional factorial designs with multiple groups of factors is proposed. A structure function is generated by the defining contrasts among different groups of factors and the remaining columns. The structure function satisfies a first-order partial differential equation. By solving this equation, general results about the structures and properties of the designs are obtained. As an important application, practical rules for the selection of optimal single arrays...
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作者:Chen, MH; Schmeiser, BW
作者单位:University of Connecticut; Purdue University System; Purdue University
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作者:Hall, P; Molchanov, I
作者单位:Australian National University; University of Bern
摘要:In fault-line estimation in spatial problems it is sometimes possible to choose design points sequentially, by working one's way gradually through the response plane, rather than distributing design points across the plane prior to conducting statistical analysis. For example, when estimating a change line in the concentration of resources on or under the sea bed, individual measurements can be particularly expensive to make. In such cases, sequential, design-adaptive methods are attractive. A...
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作者:Liu, X; Shao, YZ
作者单位:Rockefeller University; Columbia University
摘要:This paper describes the large sample properties of the likelihood ratio test statistic (LRTS) when the parameters characterizing the true null distribution are not unique. It is well known that the classical asymptotic theory for the likelihood ratio test does not apply to such problems and the LRTS may not have the typical chi-squared type limiting distribution. This paper establishes a general quadratic approximation of the log-likelihood ratio function in a Hellinger neighborhood of the tr...
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作者:Skilling, J; MacKay, DJC
作者单位:University of Cambridge; University of Cambridge
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作者:Neal, RM
作者单位:University of Toronto
摘要:Markov chain sampling methods that adapt to characteristics of the distribution being sampled can be constructed using the principle that one can sample from a distribution by sampling uniformly from the region under the plot of its density function. A Markov chain that converges to this uniform distribution can be constructed by alternating uniform sampling in the vertical direction with uniform sampling from the horizontal slice defined by the current vertical position, or more generally, wi...
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作者:Hedayat, AS; Yang, M
作者单位:University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital; University of Nebraska System; University of Nebraska Lincoln
摘要:Kunert [Ann. Statist. 12 (1984) 1006-1017] proved that, in the class of repeated measurement designs based on t treatments, p = t periods and n = lambdat experimental units, a balanced uniform design is universally optimal for direct treatment effects if t greater than or equal to 3 and lambda = 1, or if t greater than or equal to 6 and lambda = 2. This result is generalized to t greater than or equal to 3 as long as lambda less than or equal to (t - 1)/2.
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作者:Mira, A; Roberts, GO
作者单位:University of Insubria; Lancaster University
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作者:Inglot, T; Kallenberg, WCM
作者单位:Wroclaw University of Science & Technology; Polish Academy of Sciences; Institute of Mathematics of the Polish Academy of Sciences; University of Twente
摘要:Since statistical models are simplifications of reality, it is important in estimation theory to study the behavior of estimators also under distributions (slightly) different from the proposed model. In testing theory, when dealing with test statistics where nuisance parameters are estimated, knowledge of the behavior of the estimators of the nuisance parameters is needed under alternatives to evaluate the power. In this paper the moderate deviation behavior of minimum contrast estimators is ...