Results 201 to 210 of about 5,756,510 (243)

CORRELATIONS AND CHARACTERIZATIONS OF THE UNIFORM DISTRIBUTION

Australian Journal of Statistics, 1986
SummaryTwo characterizations of the uniform distribution on a suitable compact space are proved. These characterizations are applied to a number of particular examples of which the most interesting is the following: if X, Y and Z are independent n‐vectors whose components are independent and identically distributed within a vector, then the pairwise ...
Brown, Timothy C., Cartwright, Donald I., Eagleson, G. K.   +2 more
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Uniform distribution and Voronoĭ convergence

Sbornik: Mathematics, 2005
Udgivelsesdato: SEP ...
Kozlov, V.V., Madsen, Tatiana Kozlova
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Distributional Chaos on Uniform Spaces

Qualitative Theory of Dynamical Systems, 2020
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Sejal Shah, Tarun Das, Ruchi Das
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Uniform distribution

1998
Abstract Definitions. The sequence α,b and normal numbers. Uniform distribution and Riemann integration. Koksma’s inequality. Fourier analysis. The Erdős-Turán theorem and the Wey/ criterion. The sequence nα. Very slowly growing sequences. Metrical theory.
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A theorem on uniform distribution

1963
Es sei \(\{I_j\}^\infty_{j=1}\) eine Folge von paarweise elementfremden Intervallen \(I_j = (x_j,y_j)\) derart, daß \(0 \leq x_1 < y_1 < x_2 < y_2 < \cdots\) und \(\lim_{j \to \infty} x_j = \infty\) gilt. Für \(Z>0\) sei \(I(Z)\) das Lebesguesche Maß der Punktmenge \(\cup_{j=1}^{\infty} I_j \cap (0,Z)\). Für \(\alpha > 0\) und für jede natürliche Zahl \
Davenport, H., Erdős, P.
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The Uniform Distribution as a Universal Prior

IEEE Transactions on Information Theory, 2004
In this correspondence, we discuss the properties of the uniform prior as a universal prior, i.e., a prior that induces a mutual information that is simultaneously close to the capacity for all channels. We determine bounds on the amount of the mutual information loss in using the uniform prior instead of the capacity-achieving prior. Specifically, for
Nadav Shulman, Meir Feder
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Uniform Distribution in Model Sets

Canadian Mathematical Bulletin, 2002
AbstractWe give a new measure-theoretical proof of the uniform distribution property of points in model sets (cut and project sets). Each model set comes as a member of a family of related model sets, obtained by joint translation in its ambient (the ‘physical’) space and its internal space. We prove, assuming only that the window defining themodel set
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Uniform representations of bivariate distributions

Communications in Statistics, 1975
This paper explores the representation of bivariate distributions in terms of their bivariate uniform trsnslates. It is shown that this natural rapresentation in terms of bivariate distributions whose marginals are uniform allows us to study easily cartain properties of bivariate distributions.
Kimeldorf, George, Sampson, Allan
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On Shannon's Almost Uniform Distribution

IEEE Transactions on Electronic Computers, 1964
This report describes a new digital differential analyzer (DDA) technique for computing equations of the form f(x)=c/x (c=constant), which was developed to solve a problem posed by the Systems Laboratory. The major advantages of this new method over conventional DDA methods are: a much smaller truncation error because only one integration is performed,
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Some Questions of Uniform Distribution

The Annals of Mathematics, 1971
The goal of the present paper is the introduction and study of a notion pertaining to uniform distribution in general compact groups which we call a "uniformly distributed sequence generator." In preparation of the definition, recall that a sequence w1, w2, ...
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