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作者:Huber, PJ
摘要:In robustness, as in every area he touched, John Tukey produced hundreds of original ideas, some brilliant, fundamental and lasting, some ephemeral. He presented them in a rambling fashion, in survey articles, in technical reports, in mimeographed draft memoranda and some only in lectures. Along the route, like The Three Princes of Serendip (a favorite fable of his), he would make unexpected discoveries by accident and sagacity. When I started working in robustness in 1961, I much profited fro...
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作者:Fan, J; Zhang, C; Zhang, J
作者单位:University of Wisconsin System; University of Wisconsin Madison
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作者:Friedman, JH; Stuetzle, W
作者单位:Stanford University; University of Washington; University of Washington Seattle
摘要:If there ever was a tool that could stimulate the imagination and profit from the intuition and creativity of John Tukey, it was computer graphics. John always saw graphics a being central to exploratory data analysis: Since the aim of exploratory data analysis is to learn what seems to be, it should be no surprise that pictures play a vital role in doing it well. There is nothing better than a picture for making you think of questions your had forgotten to ask (even mentally). Much of his wor...
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作者:Speed, TP
作者单位:University of California System; University of California Berkeley
摘要:John Tukey connected the theory underlying simple random sampling without replacement, cumulants, expected mean squares and spectrum analysis. He gave us one degree of freedom for nonadditivity, and he pioneered finite population models for understanding ANOVA. He wrote widely on the nature and purpose of ANOVA, and he illustrated his approach. In this appreciation of Tukey's work on ANOVA we summarize and comment on his contributions, and refer to some relevant recent literature.
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作者:Brillinger, DR
作者单位:University of California System; University of California Berkeley
摘要:As both practicing data analyst and scientific methodologist, John W. Tukey made an immense diversity of contributions to science, government and industry. This article reviews some of the highly varied aspects of his life. Following articles address specific contributions to important areas of statistics. I believe that the whole country-scientifically, industrially, financially-is better off because of him and bears evidence of his influence.
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作者:Adrover, J; Yohai, V
作者单位:National University of Cordoba; University of Buenos Aires; Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET)
摘要:In this paper we study the maximum asymptotic bias of the projection estimate for multivariate location based on univariate estimates of location and dispersion. In particular we study the projection estimate that uses the median and median absolute deviation about the median (MAD) as univariate location and dispersion estimates respectively. This estimator may be considered a natural affine equivariant multivariate median. For spherical distributions the maximum bias of this estimate depends ...
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作者:Mizera, I
作者单位:University of Alberta; Comenius University Bratislava
摘要:For a general definition of depth in data analysis a differential-like calculus is constructed in which the location case (the framework of Tukey's median) plays a fundamental role similar to that of linear functions in the mathematical analysis. As an application, a lower bound for maximal regression depth is proved in the general multidimensional case-as conjectured by Rousseeuw and Hubert and others. This lower bound is demonstrated to have an impact on the breakdown point of the maximum de...
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作者:Jiang, JM; Lahiri, P; Wan, SM
作者单位:University of California System; University of California Davis; University System of Maryland; University of Maryland College Park
摘要:The paper presents a unified jackknife theory for a fairly general class of mixed models which includes some of the widely used mixed linear models and generalized linear mixed models as special cases. The paper develops jackknife theory for the important, but so far neglected, prediction problem for the general mixed model. For estimation of fixed parameters, a jackknife method is considered for a general class of M-estimators which includes the maximum likelihood, residual maximum likelihood...
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作者:Dempster, AP
作者单位:Harvard University
摘要:Although not a traditional philosopher, John Tukey contributed much to our understanding of statistical science and empirical science more broadly. The former is represented by the light he shed on the relation of drawing conclusions to making decisions, and of how simple concepts like significance and confidence serve to back up or confirm empirical findings. Less successfully, he attempted inconclusively to sort out the ambiguities of R. A. Fisher's fiducial argument. His main effort, howeve...
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作者:Benjamini, Y; Braun, H
作者单位:Tel Aviv University; Educational Testing Service (ETS)
摘要:This article provides a historical overview of the philosophical, theoretical and practical contributions made by John Tukey to the field of simultaneous inference. His early work, culminating in the monograph The Problem of Multiple Comparisons, established him as one of the pioneers in the field, investing it with both academic respectability and a focus on practical problems. For many years afterward, Tukey only published sporadically in the area but remained convinced that multiplicity iss...