Search Results - "Dehling, Herold"
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Testing for Structural Breaks via Ordinal Pattern Dependence
Published in Journal of the American Statistical Association (01-06-2017)“…We propose new concepts to analyze and model the dependence structure between two time series. Our methods rely exclusively on the order structure of the data…”
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Ordinal patterns in long‐range dependent time series
Published in Scandinavian journal of statistics (01-09-2021)“…We analyze the ordinal structure of long‐range dependent time series. To this end, we use so called ordinal patterns which describe the relative position of…”
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Estimating drift parameters in a fractional Ornstein Uhlenbeck process with periodic mean
Published in Statistical inference for stochastic processes : an international journal devoted to time series analysis and the statistics of continuous time processes and dynamic systems (01-04-2017)“…We construct a least squares estimator for the drift parameters of a fractional Ornstein Uhlenbeck process with periodic mean function and long range…”
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Robust nonparametric tests for the two-sample location problem
Published in Statistical methods & applications (01-11-2011)“…We construct and investigate robust nonparametric tests for the two-sample location problem. A test based on a suitable scaling of the median of the set of…”
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Marcinkiewicz–Zygmund strong laws for U -statistics of weakly dependent observations
Published in Statistics & probability letters (01-10-2009)“…We prove the Marcinkiewicz–Zygmund Strong Law of Large Numbers for U -statistics of strictly stationary, absolutely regular observations ( ξ i ) i ≥ 1 . Under…”
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Limit theorems for functionals of mixing processes with applications to U-statistics and dimension estimation
Published in Transactions of the American Mathematical Society (01-11-2001)“…In this paper we develop a general approach for investigating the asymptotic distribution of functionals X_n=f((Z_{n+k})_{k\in\mathbf{Z}}) of absolutely…”
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Danckwerts’ law for mean residence time revisited
Published in Chemical engineering science (01-09-2006)“…This paper shows that Danckwerts’ law for mean residence time in a vessel with continuous and steady throughflow holds for a stochastic model based on a Markov…”
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Change-point detection based on weighted two-sample U-statistics
Published 09-02-2022“…We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some…”
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A stochastic model for mixing and segregation in slugging fluidized beds
Published in Powder technology (14-02-2007)“…A stochastic model for particle transport in slugging fluidized beds is proposed in this study. This model is based on a description of the particle…”
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Power of weighted test statistics for structural change in time series
Published in Electronic journal of statistics (01-01-2024)Get full text
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Editorial: Transfer von Studienreformprojekten für die Mathematik in der Ingenieurausbildung
Published in Zeitschrift für Hochschulentwicklung (10-11-2014)“…10.11.2014 | Herold Dehling (Bochum), Katherine Roegner (Berlin) & Marco Winzker (St. Augustin)…”
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Some remarks on the ergodic theorem for U -statistics
Published in Comptes rendus. Mathématique (10-11-2023)“…In this note, we investigate the convergence of a $U$-statistic of order two having stationary ergodic data. We will find sufficient conditions for the almost…”
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13
Change-point detection based on weighted two-sample U-statistics
Published in Electronic journal of statistics (01-01-2022)Get full text
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14
Central limit theorem and the bootstrap for U -statistics of strongly mixing data
Published in Journal of multivariate analysis (2010)“…The asymptotic normality of U -statistics has so far been proved for iid data and under various mixing conditions such as absolute regularity, but not for…”
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MP2 - Mathe/Plus/Praxis: Strategien zur Vorbeugung gegen Studienabbruch
Published in Zeitschrift für Hochschulentwicklung (10-11-2014)“…Die Grundlagenfächer, und dabei insbesondere die Mathematik, stellen in den Ingenieurwissenschaften für eine große Gruppe von Studierenden eine scheinbar…”
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An asymptotic test for constancy of the variance under short-range dependence
Published in The Annals of statistics (01-12-2021)“…We present a novel approach to test for heteroscedasticity of a nonstationary time series that is based on Gini's mean difference of logarithmic local sample…”
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Ordinal pattern dependence as a multivariate dependence measure
Published in Journal of multivariate analysis (01-11-2021)“…In this article, we show that the recently introduced ordinal pattern dependence fits into the axiomatic framework of general multivariate dependence measures,…”
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Comments on: Extensions of some classical methods in change point analysis
Published in Test (Madrid, Spain) (01-06-2014)“…There is a lot of current research activity devoted to change-point analysis, and many articles have appeared since the publication of the seminal book by…”
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Generalized two-sample U-statistics for clustered data
Published in Statistica Neerlandica (01-08-2005)“…In this paper we investigate two‐sample U‐statistics in the case of clusters of repeated measurements observed on individuals from independent populations. The…”
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Bootstrap for dependent Hilbert space-valued random variables with application to von Mises statistics
Published in Journal of multivariate analysis (01-01-2015)“…Statistical methods for functional data are of interest for many applications. In this paper, we prove a central limit theorem for random variables taking…”
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