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Uniform-Geometric distribution
Journal of Statistical Computation and Simulation, 2015In this paper, a new discrete distribution called Uniform-Geometric distribution is proposed. Several distributional properties including survival function, moments, skewness, kurtosis, entropy and hazard rate function are discussed. Estimation of distribution parameter is studied by methods of moments, proportions and maximum likelihood.
Akdoğan, Yunus +4 more
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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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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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Distributed Uniformity Testing
Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing, 2018In 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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Granule Distribution Uniformity
Transactions of the ASAE, 1976ABSTRACT AN index based on the average A squared shortest distance between random points and herbicide granules was used to quantify uniformity of herbicide granule distri-butions. The theoretical granule rate needed for control increased linearly with the distribution index.
null Donald C. Erbach +2 more
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Uniform distribution and Voronoĭ convergence
Sbornik: Mathematics, 2005Udgivelsesdato: SEP ...
Kozlov, V.V., Madsen, Tatiana Kozlova
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Uniform Distribution in Model Sets
Canadian Mathematical Bulletin, 2002AbstractWe 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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A theorem on uniform distribution
1963Es 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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