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Open AccessJournal ArticleDOI

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.

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Multiple Points of Gaussian Random Fields

TL;DR: In this paper, it was shown that for a wide class of Gaussian random fields, multiple points do not exist in critical dimensions, and the result is applicable to fractional Brownian sheets and the solutions of systems of stochastic heat and wave equations.
Book ChapterDOI

La loi du logarithme itere pour les variables aleatoires pregaussiennes a valeurs dans un espace de Banach a norme reguliere

Michel Ledoux
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.org/conditions) of the agreement with the séminaire de probabilités (Strasbourg) are described.
Journal ArticleDOI

A specification test for dynamic conditional distribution models with function-valued parameters

TL;DR: The new specification test is valid for general linear and nonlinear conditional quantile models under dependent data, allows for dynamic misspecification of the past information set, and has nontrivial power against Pitman deviations from the null hypothesis.
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A Bayesian Test for the Mean of the Power Exponential Distribution

TL;DR: In this article, the authors deal with the problem of testing a point null hypothesis for the mean of a multivariate power exponential distribution and study the conditions under which Bayesian and frequentist approaches can match.
References
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Book

Stochastic processes

J. L. Doob, +1 more
Journal ArticleDOI

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, +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].