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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Generalized Association, with Applications in Multivariate Statistics
TL;DR: In this article, the authors generalized association by considering increasing functions on certain partially ordered spaces, and applied it to absolute value ordering, unimodal ordering, and linear ordering of the real numbers.
Journal ArticleDOI
Asymptotically optimal estimation in misspecified time series models
TL;DR: The paper answers to some extent the question what happens when a misspecified parametric time series model is fitted to time series data and one acts as if the model were true.
Journal ArticleDOI
Multistage Adaptive Estimation of Sparse Signals
Dennis Wei,Alfred O. Hero +1 more
TL;DR: This paper considers sequential adaptive estimation of sparse signals under a constraint on the total sensing effort, and shows gains up to several dB as compared to recently proposed adaptive methods, and dramatic gains compared to non-adaptive estimation.
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Central limit theorem and influence function for the MCD estimators at general multivariate distributions
Eric Cator,Hendrik P. Lopuhaä +1 more
TL;DR: In this article, the minimum covariance determinant functionals for multivariate location and scatter through trimming functions were defined and proved to be continuous and asymptotic normality for both the location and covariance estimator.
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].