Results 51 to 60 of about 1,324,916 (195)
Error bounds in stochastic-geometric normal approximation [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We provide normal approximation error bounds for sums of the form $\sum_x \xi_x$, indexed by the points $x$ of a Poisson process (not necessarily homogeneous) in the unit $d$-cube, with each term $\xi_x$ determined by the configuration of Poisson points ...
Mathew Penrose, Tom Rosoman
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Approximation of Zero-Inflated Poisson Credibility Premium via Variational Bayes Approach
Risks, 2022 While both zero-inflation and the unobserved heterogeneity in risks are prevalent issues in modeling insurance claim counts, determination of Bayesian credibility premium of the claim counts with these features are often demanding due to high ...
Minwoo Kim, Himchan Jeong, Dipak Dey
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On a Quasi-Neutral Approximation to the Incompressible Euler Equations
Journal of Applied Mathematics, 2012 We rigorously justify a singular Euler-Poisson approximation of the incompressible Euler equations in the quasi-neutral regime for plasma physics. Using the modulated energy estimates, the rate convergence of Euler-Poisson systems to the incompressible ...
Jianwei Yang, Zhitao Zhuang
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Variational Gaussian approximation for Poisson data [PDF]
, 2017 The Poisson model is frequently employed to describe count data, but in a Bayesian context it leads to an analytically intractable posterior probability distribution.
S. Arridge +3 more
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Topics in poisson approximation [PDF]
, 2001 Publisher Summary This chapter focuses on various topics in the Poisson approximation and demonstrates, with a variety of sets of observational data, that many random counts of rare and unrelated occurrences are well modeled as having Poisson distributions.
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On bounds in Poisson approximation for integer-valued independent random variables
, 2014 The main aim of this note is to establish some bounds in Poisson approximation for row-wise arrays of independent integer-valued random variables via the Trotter-Renyi distance.
T. Hung, L. T. Giang
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Results in Applied Mathematics, 2021 Mixed finite element formulations are used to approximate stress and displacement variables simultaneously for Poisson problems. The purpose of this article is to analyze a new discrete mixed approximation based on the application of the enriched version
Jorge Lizardo Díaz Calle +3 more
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Asymptotics of approximation of conjugate functions by Poisson integrals
Acta et commentationes Universitatis Tartuensis de mathematica, 2019 We obtain a decomposition of the upper bound for the deviation of Poisson integrals of conjugate periodic functions. The decomposition enables one to provide the Kolmogorov–Nikol'skii constants of an arbitrary order.
Yu. I. Kharkevych, K. Pozharska
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On lower bounds for Poisson approximation to 2-runs statistic
Lietuvos Matematikos Rinkinys, 2010 Two-runs statistic is approximated by various compound Poisson distributions and second order asymptotic expansions. Estimates of lower bounds are obtained for the uniform Kolmogorov and local metrics.
Jūratė Petrauskienė +1 more
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Risks, 2022 We introduce here a diffusion-type approximation of the ruin probability both in finite and infinite time for a two-dimensional risk process, where claims and premiums are shared with a predetermined proportion.
Krzysztof Burnecki +2 more
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