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作者：Olofsson, Peter
作者单位：Chalmers University of Technology
摘要：A general multitype branching process with sibling dependencies is considered. The dependencies within a group of siblings are described by a joint probability measure, determined by the structure of that particular group. The process is analyzed by means of the embedded macro process, consisting of sibling groups. It is shown that the regular asymptotic behavior of the sibling-dependent process is guaranteed by conditions on the individual reproductions, and that these conditions are exactly ...
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作者：Yao, Yi-Ching; Simons, Gordon
作者单位：Colorado State University System; Colorado State University Fort Collins; Academia Sinica - Taiwan; University of North Carolina; University of North Carolina Chapel Hill
摘要：For an arbitrary point of a homogeneous Poisson point process in a d-dimensional Euclidean space, consider the number of Poisson points that have that given point as their rth nearest neighbor (r = 1, 2, ...). It is shown that as d tends to infinity, these nearest neighbor counts (r = 1, 2, ...) are iid asymptotically Poisson with mean 1. The proof relies on Renyi's characterization of Poisson processes and a representation in the limit of each nearest neighbor count as a sum of countably many...
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作者：Foss, Serguei; Last, Guenter
作者单位：Novosibirsk State University; Braunschweig University of Technology
摘要：We consider a polling system with a finite number of stations fed by compound Poisson arrival streams of customers asking for service. A server travels through the system and upon arrival at a station the server serves all waiting customers until the queue is empty, where the service time distribution depends on the station. The choice of the station to be visited next as well as the corresponding walking time may depend on the whole current state. Examples are systems with a greedy-type routi...
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作者：Kluppelberg, Claudia; Mikosch, Thomas
作者单位：Johannes Gutenberg University of Mainz; University of Groningen
摘要：Functionals of a two-parameter integrated periodogram have been used for detecting a change in the spectral distribution of a stationary sequence. The bases for these results are functional central limit theorems for the integrated periodogram with a Gaussian limit field. We prove functional central limit theorems for a general linear sequence having a finite fourth moment which is shown to be the optimal moment condition. Our approach is via an approximation of the integrated periodogram by a...
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作者：Miclo, Laurent
作者单位：Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Centre National de la Recherche Scientifique (CNRS)
摘要：Let (X-(t))(t >= 0) be a family of inhomogeneous Markov processes on a fi nite set M, whose jump intensities at the time s >= 0 are given by exp (-beta((t))(s) V(x, y))q(x, y) for all x not equal y epsilon M, where the evolutions of the inverse of the temperature R-1 Sic s bar right arrow beta((t))(s) epsilon R-1 take in some ways greater and greater values with t. We study by using semigroup techniques the asymptotic behavior of the couple consisting of the renormalized exit time and exit pos...
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作者：Cerf, Raphael
作者单位：Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS)
摘要：Here is a new genetic algorithm. It is built by randomly perturbing a two operator crossover-selection scheme. Three conditions of biological relevance are imposed on the crossover. A new selection mechanism is used, which has the decisive advantage of preserving the diversity of the individuals in the population. The attractors of the unperturbed process are particular equi fitness subsets of populations endowed with a rich structure. The random vanishing perturbations are twofold: local pert...
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作者：Hsing, Tailen; Husler, Jurg; Reiss, Rolf-Dieter
作者单位：Texas A&M University System; Texas A&M University College Station; University of Bern; Universitat Siegen
摘要：Consider a triangular array of stationary normal random variables {xi(n,i), i >= 0, n >= 1} such that {xi(n,i), i >= 0} is a stationary normal sequence for each n >= 1. Let p(n,j) = corrq{xi(n,i), xi(n,i), (i + j) ). We show that if (1 - p(n),(j))log n -> delta(j) is an element of (0, infinity) as n -> infinity for some j, then the locations where the extreme values occur cluster, and if p(n,j) tends to 0 fast enough as j -> infinity for fixed n, then {xi(n,i), i >= 0} satisfies a certain weak...
