The Annals of Applied Probability, 2009 Published in at http://dx.doi.org/10.1214/08-AAP561 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Heveling, Matthias, Reitzner, Matthias
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Poisson approximation. Addendum [PDF]
Probability Surveys, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kinetic simulation of vacuum plasma expansion beyond the "plasma approximation"
Vojnotehnički Glasnik, 2022 Introduction/purpose: One of the key approaches to solving an entire class of modern plasma physics problems is the so-called "plasma approximation". The most general definition of the "plasma approximation" is a theoretical approach to the electric ...
Vasily Y. Kozhevnikov +3 more
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Poisson approximation of binomial point processes [PDF]
E3S Web of ConferencesIn the paper, we study properties of the vertex process from convex hulls generated by independent observations of a two-dimensional random vector, the distribution of which behaves like a regularly varying function near the boundary of the support of ...
Khamdamov Isakjan, Sharipova Lola
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Poisson approximation of subgraph counts in stochastic block models and a graphon model [PDF]
, 2015 Small subgraph counts can be used as summary statistics for large random graphs. We use the Stein-Chen method to derive Poisson approximations for the distribution of the number of subgraphs in the stochastic block model which are isomorphic to some ...
Matthew Coulson +2 more
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Compound Poisson approximation for regularly varying fields with application to sequence alignment
Bernoulli, 2019 The article presents the theory of stationary regularly varying random fields. In this context, we prove a new compound Poisson approximation theorem under appropriate dependence conditions, and demonstrate a couple of effective methods for checking its ...
Bojan Basrak, Hrvoje Planinić
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Refined total variation bounds in the multivariate and compound Poisson approximation [PDF]
, 2015 We consider the approximation of a convolution of possibly different probability measures by (compound) Poisson distributions and also by related signed measures of higher order.
B. Roos
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Stability of higher order singular points of Poisson manifolds and Lie algebroids [PDF]
, 2005 We study the stability of singular points for smooth Poisson structures as well as general Lie algebroids. We give sufficient conditions for stability lying on the first (not necessarily linear) approximation of the given Poisson structure or Lie ...
Dufour, Jean-Paul, Wade, Aissa
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Translated Poisson approximation using exchangeable pair couplings [PDF]
, 2007 It is shown that the method of exchangeable pairs introduced by Stein [Approximate Computation of Expectations (1986) IMS, Hayward, CA] for normal approximation can effectively be used for translated Poisson approximation.
Röllin, Adrian
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Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to U-statistics and stochastic geometry [PDF]
, 2014 A Poisson or a binomial process on an abstract state space and a symmetric function $f$ acting on $k$-tuples of its points are considered. They induce a point process on the target space of $f$.
Laurent Decreusefond +2 more
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