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Random PolytopesBeermann, Mareen 23 June 2015 (has links)
Random polytopes can be constructed in many different ways. In this thesis two certain kinds are considered - random polytopes as the convex hull of random points and as the intersection of finitely many random half spaces. Concerning these two models different issues are treated.
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Almost sure behavior for increments of U-statistics / Beschreibung der Fluktuation von Zuwächsen für U-StatistikenAbujarad, Mohammed 18 January 2007 (has links)
No description available.
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Limit theorems in preferential attachment random graphsBetken, Carina 17 May 2019 (has links)
We consider a general preferential attachment model, where the probability that a newly arriving vertex connects to an older vertex is proportional to a (sub-)linear function of the indegree of the older vertex at that time. We provide a limit theorem with rates of convergence for the distribution of a vertex, chosen uniformly at random, as the number of vertices tends to infinity. To do so, we develop Stein's method for a new class of limting distributions including power-laws. Similar, but slightly weaker results are shown to be deducible using coupling techniques. Concentrating on a specific preferential attachment model we also show that the outdegree distribution asymptotically follows a Poisson law. In addition, we deduce a central limit theorem for the number of isolated vertices. We thereto construct a size-bias coupling which in combination with Stein’s method also yields bounds on the distributional distance.
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A Mathematical Approach to Self-Organized Criticality in Neural Networks / Ein mathematischer Zugang zur selbstorganiserten Kritikalität in Neuronalen NetzenLevina, Anna 08 January 2008 (has links)
No description available.
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Some remarks on the central limit theorem for stationary Markov processes / Einige Bermerkungen zum zentralen Grenzwertsatz für stationäre Markoffsche ProzesseHolzmann, Hajo 21 April 2004 (has links)
No description available.
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Extreme-Value Analysis of Self-Normalized Increments / Extremwerteigenschaften der normierten InkrementeKabluchko, Zakhar 23 April 2007 (has links)
No description available.
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Limit theorems for statistical functionals with applications to dimension estimation / Grenzwertsätze für statistische Funktionale mit Anwendungen auf DimensionsschätzungenMin, Aleksey 23 June 2004 (has links)
No description available.
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Usage-based Testing of Event-driven Software / Benutzungsbasiertes Testen von eventgetriebener SoftwareHerbold, Steffen 27 June 2012 (has links)
No description available.
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Pathwise Uniqueness of the Stochastic Heat Equation with Hölder continuous o diffusion coefficient and colored noise / Pfadweise Eindeutigkeit der stochastischen Wärmeleitungsgleichung mit Hölder-stetigem Diffusionskoeffizienten und farbigem RauschenRippl, Thomas 29 October 2012 (has links)
No description available.
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Application of Hidden Markov and Hidden Semi-Markov Models to Financial Time Series / Application of Hidden Markov and Hidden Semi-Markov Models to Financial Time SeriesBulla, Jan 06 July 2006 (has links)
No description available.
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