Results 61 to 70 of about 775,098 (192)
Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]
, 2014 We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
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A Compound Poisson Approximation Inequality [PDF]
Journal of Applied Probability, 2006 We give conditions under which the number of events which occur in a sequence ofm-dependent events is stochastically smaller than a suitably defined compound Poisson random variable. The results are applied to counts of sequence pattern appearances and to system reliability. We also provide a numerical example.
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Poisson-type approximation for sums of 1-dependent indicators
Lietuvos Matematikos Rinkinys, 2008 The sum of 1-dependent indicators is approximated by two-parametric Poisson type signed measure. Estimates are obtained for the local and total variation norms.
Jūratė Kelmelytė +1 more
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Compound Poisson process approximation
The Annals of Probability, 2002 Compound Poisson processes are often useful as approximate models, when describing the occurrence of rare events. In this paper, we develop a method for showing how close such approximations are. Our approach is to use Stein's method directly, rather than by way of declumping and a marked Poisson process; this has conceptual advantages, but entails ...
Barbour, A. D., Månsson, Marianne
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Poisson algebras via model theory and differential-algebraic geometry [PDF]
, 2017 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim +8 more
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Poisson-type approximation for sums of 1-dependent indicators
Lietuvos Matematikos Rinkinys, 2009 The sum of 1-dependent indicators is approximated by compound Poisson type distribution. Estimates are obtained for the uniform Kolmogorov and local metrics.
Jūratė Petrauskienė +1 more
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Poisson Approximations for the Ising Model [PDF]
Journal of Statistical Physics, 2006 A $d$-dimensional Ising model on a lattice torus is considered. As the size $n$ of the lattice tends to infinity, a Poisson approximation is given for the distribution of the number of copies in the lattice of any given local configuration, provided the magnetic field $a=a(n)$ tends to $-\infty$ and the pair potential $b$ remains fixed. Using the Stein-
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UNIFORM APPROXIMATIONS BY THE THREEHARMONIC POISSON INTEGRALS ON THE SOBOLEV CLASSES
Міжнародний науково-технічний журнал "Проблеми керування та інформатики"The quantity of the precise upper bound of the deviations of the linear methods of summation, determined by rectangular number matrix Λ=‖λ n, k‖ on the classes of continuous periodic functions in the uniform metric is given.
У.З. Грабова
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APPROXIMATION OF CONJUGATE PERIODIC FUNCTIONS BY THEIR THREE-HARMONIC POISSON INTEGRALS
Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2020 Asymptotic equalities are obtained for the upper bounds of deviations of the three-harmonic Poisson integrals from functions conjugated to functions from the Hölder classes in the uniform metric.
У.З. Грабова
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Estimating Stein's constants for compound Poisson approximation [PDF]
, 2000 Stein's method for compound Poisson approximation was introduced by Barbour, Chen and Loh. One difficulty in applying the method is that the bounds on the solutions of the Stein equation are by no means as good as for Poisson approximation. We show that,
Xia, A +3 more
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