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Exponential–Uniform Distribution

Iranian Journal of Science and Technology, Transactions A: Science, 2017
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Habibi, M., Asgharzadeh, A.
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Distributed Uniformity Testing

Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing, 2018
In the uniformity testing problem, we are given access to samples from some unknown distribution μ on a fixed domain \set1,..,n , and our goal is to distinguish the case where μ is the uniform distribution from the case where μ is e-far from uniform in L_1 distance.
Orr Fischer, Uri Meir, Rotem Oshman
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On uniform distribution of αβ-orbits

Journal of Number Theory, 2021
17 ...
Changhao Chen   +2 more
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A uniform-Laplace mixture distribution

Journal of Computational and Applied Mathematics, 2023
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Amos Natido, Tomasz J. Kozubowski
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On the Uniformity of Distribution of the ElGamal Signature

Applicable Algebra in Engineering, Communication and Computing, 2002
We show that, under some natural conditions, the pairs \((r,s)\) produced by the ElGamal signature scheme are uniformly distributed. In particular this implies that values of \(r\) and \(s\) are not correlated. The result is based on some new estimates of exponential sums.
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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.   +2 more
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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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Uniform distribution and Voronoĭ convergence

Sbornik: Mathematics, 2005
Udgivelsesdato: SEP ...
Kozlov, V.V., Madsen, Tatiana Kozlova
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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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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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