Titlebook: Limit Theorems in Probability, Statistics and Number Theory; In Honor of Friedric Peter Eichelsbacher,Guido Elsner,Silke Rolles Conference

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https://doi.org/10.1007/978-3-642-36068-860F05, 62E20, 60-06, 46L54, 60B20, 60E10, 11J83; asymptotic approximations; asymptotic distributions; f

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Peter Eichelsbacher,Guido Elsner,Silke RollesPresents unifying aspects of probability, statistics and number theory.Connects asymptotic enumerative combinatorics, particle systems and approximation theory?.Presents questions and techniques for n

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978-3-642-43396-2Springer-Verlag Berlin Heidelberg 2013

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Limit Theorems in Probability, Statistics and Number Theory978-3-642-36068-8Series ISSN 2194-1009 Series E-ISSN 2194-1017

拋射物

Fine-Scale Statistics for the Multidimensional Farey Sequencen. This is achieved by exploiting the equidistribution of horospheres in the space of lattices, and the equidistribution of Farey points in a certain subspace of the space of lattices. The argument follows closely the general approach developed by A. Str?mbergsson and the author [Ann. Math. 172:1949

用肘

insincerity

CLT for Stationary Normal Markov Chains via Generalized Coboundariest .∈..(.) be a function on the state space of .. The solvability in ..(.) of the .. implies that the stationary sequence . can be represented in the form . Here . is a stationary sequence of square integrable ., and . is an ..-. that is a difference of two consecutive elements of a stationary sequen

難取悅

Operator-Valued and Multivariate Free Berry-Esseen Theoremse the difference between the operator-valued Cauchy transforms of the normalized partial sums in an operator-valued free central limit theorem and the Cauchy transform of the limiting operator-valued semicircular element. Since we have to deal with in general non-self-adjoint operators, we introduce

食草

A Nonparametric Theory of Statistics on Manifoldse theory centers around Fréchet means; but functional estimation and classification methods using nonparametric Bayes theory are also indicated. Applications in paleomagnetism, morphometrics and medical diagnostics illustrate the theory.