Results 21 to 30 of about 249,434 (217)
Translated Poisson approximation to equilibrium distributions of Markov population processes [PDF]
, 2009 The paper is concerned with the equilibrium distributions of continuous-time density dependent Markov processes on the integers. These distributions are known typically to be approximately normal, and the approximation error, as measured in Kolmogorov ...
A Röllin +7 more
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Upper bounds for spatial point process approximations [PDF]
, 2005 We consider the behavior of spatial point processes when subjected to a class of linear transformations indexed by a variable T. It was shown in Ellis [Adv. in Appl. Probab.
Schuhmacher, Dominic
core +2 more sources
On the Entropy of Sums of Bernoulli Random Variables via the Chen-Stein Method
, 2012 This paper considers the entropy of the sum of (possibly dependent and non-identically distributed) Bernoulli random variables. Upper bounds on the error that follows from an approximation of this entropy by the entropy of a Poisson random variable with ...
Sason, Igal
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Poisson approximations for the Ising model
, 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 ...
A. D. Barbour +13 more
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Compound Poisson Approximation and Testing for Gene Clusters with Multigene Families [PDF]
, 2011 International audienceWe present in this article a compound Poisson approximation for computing probabilities involved in significance tests for conserved genomic regions between different species.
Chabrol, Olivier +3 more
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The Annals of Probability, 1990 Consider a family of (dependent) Gaussian random variables and count the number of them that exceed some given levels. An explicit upper bound is given for the total variation distance between the distribution of this number of exceedances and a Poisson distribution having the same mean.
Holst, Lars, Janson, Svante
openaire +2 more sources
Poisson approximation for search of rare words in DNA sequences [PDF]
, 2007 Using recent results on the occurrence times of a string of symbols in a stochastic process with mixing properties, we present a new method for the search of rare words in biological sequences generally modelled by a Markov chain.
Abadi, Miguel, Vergne, Nicolas
core +1 more source
Rates of convergence for extremes of geometric random variables and marked point processes [PDF]
, 2015 We use the Stein-Chen method to study the extremal behaviour of the problem of extremes for univariate and bivariate geometric laws. We obtain a rate for the convergence to the Gumbel distribution of the law of the maximum of i. i. d.
Cipriani, Alessandra, Feidt, Anne
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American Journal of Medical Genetics Part B: Neuropsychiatric Genetics, EarlyView.ABSTRACT In epidemiological studies, obsessive‐compulsive disorder (OCD) is robustly associated with increased risk of cardiometabolic disorders, including cardiovascular diseases, type 2 diabetes, and obesity. However, the mechanisms behind these associations are unclear. We conducted genetic correlation analyses to explore shared genetic etiology and
Robyn E. Wootton +217 more
wiley +1 more source
Level crossings and other level functionals of stationary Gaussian processes
, 2006 This paper presents a synthesis on the mathematical work done on level crossings of stationary Gaussian processes, with some extensions. The main results [(factorial) moments, representation into the Wiener Chaos, asymptotic results, rate of convergence,
Kratz, Marie F.
core +4 more sources