On the accuracy of Poisson approximation [PDF]
Extremes, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Statistics of weighted Poisson events and its applications [PDF]
, 2013 The statistics of the sum of random weights where the number of weights is Poisson distributed has important applications in nuclear physics, particle physics and astrophysics.
Bohm, G., Zech, G.
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Poisson approximation of the length spectrum of random surfaces [PDF]
, 2017 Multivariate Poisson approximation of the length spectrum of random surfaces is studied by means of the Chen-Stein method. This approach delivers simple and explicit error bounds in Poisson limit theorems.
Petri, Bram, Thaele, Christoph
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Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to U-statistics and stochastic geometry [PDF]
, 2016 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 $f$.
Decreusefond, Laurent +2 more
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Stein's method, Palm theory and Poisson process approximation
, 2004 The framework of Stein's method for Poisson process approximation is presented from the point of view of Palm theory, which is used to construct Stein identities and define local dependence.
Chen, Louis H. Y., Xia, Aihua
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Consistency and asymptotic normality of the maximum likelihood estimator in a zero-inflated generalized Poisson regression [PDF]
, 2005 Poisson regression models for count variables have been utilized in many applications. However, in many problems overdispersion and zero-inflation occur.
Czado, Claudia, Min, Aleksey
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Exchangeable pairs and Poisson approximation
, 2005 This is a survey paper on Poisson approximation using Stein's method of exchangeable pairs. We illustrate using Poisson-binomial trials and many variations on three classical problems of combinatorial probability: the matching problem, the coupon ...
Chatterjee, Sourav +2 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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