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
Citations
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Deficiencies between linear normal experiments
TL;DR: In this paper, the problem of finding the least favorable distribution is reduced to testing a composite hypothesis and finding the most favorable distribution. But the technique used consists of reducing to testing composite hypotheses and finding a least favorable distributions.
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GPS Composite Clock Analysis
TL;DR: Simulated GPS clock phase and frequency deviations, and simulated GPS pseudo-range measurements, are used to understand GPS Time in terms of Kalman filter estimation errors.
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Large Favourite Sites of Simple Random Walk and theWiener Process
Endre Csáki,Zhan Shi +1 more
TL;DR: In this paper, the exact rate of escape of the distance between the most visited point by a simple symmetric random walk in the first $n$ steps is established. And the corresponding problem for the Wiener process is also studied.
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A unified and generalized set of shrinkage bounds on minimax Stein estimates
TL;DR: In this paper, an increasing sequence of bounds on the shrinkage constant of Stein-type estimators were given for the case of spherical symmetry, spherical symmetry and unimodality, and scale mixtures of normals.
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].