Results 21 to 30 of about 1,408,791 (309)
Compound Poisson Approximation via Information Functionals [PDF]
Electronic Journal of Probability, 2010 An information-theoretic development is given for the problem of compound Poisson approximation, which parallels earlier treatments for Gaussian and Poisson approximation. Let $P_{S_n}$ be the distribution of a sum $S_n=\Sumn Y_i$ of independent integer-valued random variables $Y_i$.
Barbour, AD +3 more
openaire +6 more sources
Disagreement coupling of Gibbs processes with an application to Poisson approximation [PDF]
The Annals of Applied Probability, 2021 We discuss a thinning and an embedding procedure to construct finite Gibbs processes with a given Papangelou intensity. Extending the approach in Hofer-Temmel (2019) and Hofer-Temmel and Houdebert (2019) we will use this to couple two finite Gibbs ...
G. Last, M. Otto
semanticscholar +1 more source
Poisson Approximation to the Convolution of Power Series Distributions [PDF]
Probability and Mathematical Statistics, 2020 In this article, we obtain, for the total variance distance, the error bounds between Poisson and convolution of power series distributions via Stein's method. This provides a unified approach to many known discrete distributions.
Amit Kumar, P. Vellaisamy, F. Viens
semanticscholar +1 more source
Poisson process approximation under stabilization and Palm coupling [PDF]
Annales Henri Lebesgue, 2021 . — We present new Poisson process approximation results for stabilizing functionals of Poisson and binomial point processes. These functionals are allowed to have an unbounded range of interaction and encompass many examples in stochastic geometry.
O. Bobrowski +2 more
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Approximation Properties of the Generalized Abel-Poisson Integrals on the Weyl-Nagy Classes
Axioms, 2022 Asymptotic equalities are obtained for the least upper bounds of approximations of functions from the classes Wβ,∞r by the generalized Abel-Poisson integrals Pγ(δ),0γ in the uniform metric, which provide the solution to the Kolmogorov–Nikol’skii problem ...
I. Kal’chuk, Yurii Kharkevych
semanticscholar +1 more source
$S$-constrained random matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 Let $S$ be a set of $d$-dimensional row vectors with entries in a $q$-ary alphabet. A matrix $M$ with entries in the same $q$-ary alphabet is $S$-constrained if every set of $d$ columns of $M$ contains as a submatrix a copy of the vectors in $S$, up to ...
Sylvain Gravier, Bernard Ycart
doaj +1 more source
Mathematics, 2023 Inhomogeneous random graphs are commonly used models for complex networks where nodes have varying degrees of connectivity. Computing the degree distribution of such networks is a fundamental problem and has important applications in various fields.
Róbert Pethes, Levente Kovács
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PLoS ONE, 2022 In the era of open data, Poisson and other count regression models are increasingly important. Still, conventional Poisson regression has remaining issues in terms of identifiability and computational efficiency.
Daisuke Murakami, Tomoko Matsui
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Approximation of classes of Poisson integrals by Fejer means
Математичні Студії, 2023 The paper is devoted to the investigation of problem of approximation of continuous periodic functions by trigonometric polynomials, which are generated by linear methods of summation of Fourier series.
O. Rovenska
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On one signed Poisson approximation
Lietuvos Matematikos Rinkinys, 1997 There is not abstract.
Vydas Čekanavičius
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