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pro vyhledávání: '"GRÜBEL, RUDOLF"'
Autor:
Grübel, Rudolf
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, vol. 25:1, Analysis of Algorithms (May 30, 2023) dmtcs:10968
We discuss a notion of convergence for binary trees that is based on subtree sizes. In analogy to recent developments in the theory of graphs, posets and permutations we investigate some general aspects of the topology, such as a characterization of
Externí odkaz:
http://arxiv.org/abs/2302.07850
Autor:
Baringhaus, Ludwig, Grübel, Rudolf
We obtain discrete mixture representations for parametric families of probability distributions on Euclidean spheres, such as the von Mises--Fisher, the Watson and the angular Gaussian families. In addition to several special results we present a gen
Externí odkaz:
http://arxiv.org/abs/2301.03870
Autor:
Grübel, Rudolf
We review a recent development at the interface between discrete mathematics on one hand and probability theory and statistics on the other, specifically the use of Markov chains and their boundary theory in connection with the asymptotics of randoml
Externí odkaz:
http://arxiv.org/abs/2206.12153
Autor:
Baringhaus, Ludwig, Grübel, Rudolf
Publikováno v:
Metrika 85, No. 4, 419-458 (2022)
We introduce and discuss a multivariate version of the classical median that is based on an equipartition property with respect to quarter spaces. These arise as pairwise intersections of the half-spaces associated with the coordinate hyperplanes of
Externí odkaz:
http://arxiv.org/abs/2206.11763
Autor:
Baringhaus, Ludwig, Grübel, Rudolf
Publikováno v:
Electron. J. Stat. 15, No. 1, 37-70 (2021)
We investigate existence and properties of discrete mixture representations $P_\theta =\sum_{i\in E} w_\theta(i) \, Q_i$ for a given family $P_\theta$, $\theta\in\Theta$, of probability measures. The noncentral chi-squared distributions provide a cla
Externí odkaz:
http://arxiv.org/abs/2206.11094
Autor:
Baringhaus, Ludwig, Grübel, Rudolf
Publikováno v:
Commun. Stat., Theory Methods 50, No. 24, 5997-6013 (2021)
With any symmetric distribution $\mu$ on the real line we may associate a parametric family of noncentral distributions as the distributions of $(X+\delta)^2$, $\delta\not=0$, where $X$ is a random variable with distribution $\mu$. The classical case
Externí odkaz:
http://arxiv.org/abs/2206.10236
Autor:
Baringhaus, Ludwig1 (AUTHOR) lbaring@stochastik.uni-hannover.de, Grübel, Rudolf1 (AUTHOR)
Publikováno v:
Statistical Papers. Apr2024, Vol. 65 Issue 2, p557-596. 40p.
We show that boundary theory for transient Markov chains, as initiated by Doob, can be used to prove de Finetti's classical representation result for exchangeable random sequences. We also include the relevant parts of the theory, with full proofs.
Externí odkaz:
http://arxiv.org/abs/1610.02561
Autor:
Grübel, Rudolf, Hagemann, Klaas
A well-studied randomized election algorithm proceeds as follows: In each round the remaining candidates each toss a coin and leave the competition if they obtain heads. Of interest is the number of rounds required and the number of winners, both rel
Externí odkaz:
http://arxiv.org/abs/1604.03047
Autor:
Grübel, Rudolf, Kabluchko, Zakhar
Consider a branching random walk on $\mathbb Z$ in discrete time. Denote by $L_n(k)$ the number of particles at site $k\in\mathbb Z$ at time $n\in\mathbb N_0$. By the profile of the branching random walk (at time $n$) we mean the function $k\mapsto L
Externí odkaz:
http://arxiv.org/abs/1503.04616