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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Book ChapterDOI
Toward Machine Wald
Houman Owhadi,Clint Scovel +1 more
TL;DR: The foundations of a rigorous framework for the scientific computation of optimal statistical estimators/models are explored and their connections with decision theory, machine learning, Bayesian inference, stochastic optimization, robust optimization, optimal uncertainty quantification, and information-based complexity are reviewed.
Journal ArticleDOI
Efficiency and robustness in the use of repeated measurements.
TL;DR: In this paper, the T2 test is compared with the F test in the analysis of repeated vector measurements and it is shown that T2 is considerably more efficient than its competitors, but that its efficiency cannot be substantially less.
Sample path properties of bifractional
Ciprian A. Tudor,Yimin Xiao +1 more
TL;DR: In this paper, the authors prove that BH>K is strongly locally non-deterministic and apply Chung's law of the iterated logarithm for BHK, as well as sharp Holder conditions and tail probability estimates for the local times of BH'.
Book
Statistical Inference Via Convex Optimization
TL;DR: In this paper, an accessible analysis of fundamental problems of hypothesis testing and signal recovery, Anatoli Juditsky and Arkadi Nemirovski show how convex optimization theory can be used to devise and analyze near-optimal statistical inferences.
Posted Content
Mutual Information Games in Multi-user Channels with Correlated Jamming
S. Shafiee,Sennur Ulukus +1 more
TL;DR: In this article, the behavior of two users and one jammer in an AWGN channel with and without fading when they participate in a non-cooperative zero-sum game, with the channel's input/output mutual information as the objective function, was investigated.
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.
Journal ArticleDOI
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].