The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities
T. W. Anderson
- Vol. 6, Iss: 2, pp 170-176
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The article was published on 1955-02-01 and is currently open access. It has received 552 citations till now. The article focuses on the topics: Convex set & Subderivative.read more
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Two stage multiple comparison procedures based on the studentized range
TL;DR: In this article, Stein's two sample approach and Tukey's T-Method of multiple comparisons are combined to obtain fixed width simultaneous confidence intervals and simultaneous test procedures of predetermined Type I and Type II error levels, for all contrasts, in a one way layout.
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On Abstract Wiener Measure
TL;DR: For every Gaussian measure n on a real separable or reflexive Banach space, there exists a separable closed sub-space X ǫ of X such that the norm is contiunous on and is dense in this article.
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Simultaneous Confidence Regions for the Frequency Analysis of Multiple Time Series
TL;DR: In the frequency analysis of several time series observed simultaneously, it is often necessary to adapt classical results of linear models and multiple regression to situations involving complex-valued variates as discussed by the authors.
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On characterizations of pitman closeness of some shrinkage estimators
TL;DR: For the multivariate normal mean (vector) estimation problem, some characterizations of the Pitman closest property of a general class of Stein-rule estimators (including the so-called positive-rule versions) are studied in this paper.
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Efficient estimation in a nonlinear counting‐process regression model
TL;DR: In this article, the authors proposed an estimator for the doubly cumulative hazard f f a(s, y) ds dy and determined its asymptotic distribution in the sense of a Hajek-Inagaki convolution theorem for partially specified models.
References
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Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
TL;DR: In this article, a general method for calculating the limiting distributions of these criteria is developed by reducing them to corresponding problems in stochastic processes, which in turn lead to more or less classical eigenvalue and boundary value problems for special classes of differential equations.
BookDOI
Theorie der Konvexen Körper
T. Bonnesen,W. Fenchel +1 more
TL;DR: In this article, Minkowski et al. den engen Zusammenhang dieser Begriffbildungen und Satze mit der Frage nach der bestimmung konvexer Flachen durch ihre GAusssche Krtim mung aufgedeckt und tiefliegende diesbeztigliche Satze bewiesen.
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The Cramer-Smirnov Test in the Parametric Case
TL;DR: In this paper, the authors extended the Cramer-Smirnov and von Mises test to the parametric case, a suggestion of Cramer [1], see also [2].