Ludwig Baringhaus

Leibniz University Hannover

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Norbert Henze

Karlsruhe Institute of Technology

Rudolf Grübel

Leibniz University Hannover

Daniel Gaigall

FH Aachen

D. Plachky

University of Bayreuth

Fatemeh Taherizadeh

Leibniz University Hannover

Bruno Ebner

Karlsruhe Institute of Technology

Carsten Franz

Leibniz University Hannover

Laurie Davies

University of Florida

D. Kolbe

Leibniz University Hannover

Nora Gürtler

LVR-Klinik Köln

Cooperative Institutions

Leibniz University Hannover

University of Münster

Karlsruhe Institute of Technology

Karlsruhe University of Education

University of Duisburg-Essen

Eindhoven University of Technology

University of Sheffield

University of Konstanz

Universität Hamburg

Hamburg University of Technology

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Eine simultane Charakterisierung der geometrischen Verteilung und der logistischen Verteilung

Metrika (1980)

Ludwig Baringhaus

10.1007/bf01893601

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Citations (11)

On a modification of the hoeffding-blum-kiefer-rosenblatt independence criterion

Communications in Statistics - Simulation and Computation (1994)

Ludwig Baringhaus

The test statistic of Hoeffding-Blum-Kiefer-Rosenblatt for testing the hypothesis of independenceis modified so as to get a procedure which is invariant with respect to strictly monotone transformations of the components. It is shown by simulation that the limiting null distribution providesanapproximation which is more accurate

Limiting

Statistic

Independence

10.1080/03610919408813193

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Citations (4)

Limit distributions for measures of multivariate skewness and kurtosis based on projections

Journal of Multivariate Analysis (1991)

Ludwig Baringhaus Norbert Henze

Kurtosis

Elliptical distribution

10.1016/0047-259x(91)90031-v

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Citations (45)

Nonparametric two-sample tests for increasing convex order

Bernoulli (2009)

Ludwig Baringhaus Rudolf Grübel

Given two independent samples of non-negative random variables with unknown distribution functions $F$ and $G$, respectively, we introduce and discuss two tests for the hypothesis that $F$ is less than or equal to $G$ in increasing convex order. The test statistics are based on the empirical stop-loss transform, critical values are obtained by a bootstrap procedure. It turns out that for the resampling a size switching is necessary. We show that the resulting tests are consistent against all alternatives and that they are asymptotically of the given size $α$. A specific feature of the problem is the behavior of the tests ‘inside’ the hypothesis, where $F≠G$. We also investigate and compare this aspect for the two tests.

Resampling

10.3150/08-bej151

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Citations (6)

A consistent test for multivariate normality based on the empirical characteristic function

Metrika (1988)

Ludwig Baringhaus Norbert Henze

Pointwise

Empirical distribution function

Studentized range

Central limit theorem

10.1007/bf02613322

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Citations (162)

An adaptive omnibus test for exponentiality

Communication in Statistics- Theory and Methods (1992)

Ludwig Baringhaus Norbert Henze

Let be independent and identically distributed observations on a non-negative random variable X. If X has the exponential density , its Laplace transform satisfies the differential equation . We show that a strong omnibus test for expo-nentiality may be based on , where is the Maximum-Likelihood- estimate of λ and Ψn is the empirical Laplace transform, each based on .

10.1080/03610929208830826

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Citations (14)

Asymptotic optimality of multivariate linear hypothesis tests

Journal of Multivariate Analysis (1987)

Ludwig Baringhaus

Asymptotically optimal algorithm

Zero (linguistics)

p-value

10.1016/0047-259x(87)90159-x

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Citations (6)

A goodness of fit test for the Poisson distribution based on the empirical generating function

Statistics & Probability Letters (1992)

Ludwig Baringhaus Norbert Henze

Goodness of fit

Empirical distribution function

Univariate distribution

10.1016/0167-7152(92)90033-2

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Citations (58)

Random permutations generated by delay models and estimation of delay distributions

Electronic Journal of Statistics (2024)

Ludwig Baringhaus Rudolf Grübel

Objects arrive at a system at times U1,U2,… and leave at times U1+X1,U2+X2,…, where we assume that the arrivals are independent and uniformly distributed on the unit interval, that the delay times are independent with distribution function G, and that arrival and delay times are independent. Let Πn be the random permutation that connects the ranks of the first n arrivals and departures. We investigate the use of Πn for estimating G. We consider empirical copulas in the nonparametric and pattern frequencies in the parametric situation.

10.1214/23-ejs2205

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Citations (2)

From matchbox to bottle: a storage problem

Journal of Applied Probability (2002)

Ludwig Baringhaus Rudolf Grübel

We generalize Banach's matchbox problem: demands of random size are made on one of two containers, both initially with content t , where the container is selected at random in the successive steps. Let Z t be the content of the other container at the moment when the selected container is found to be insufficient. We obtain the asymptotic distribution of Z t as t → ∞ under quite general conditions. The case of exponentially distributed demands is considered in more detail.

Renewal theory

10.1239/jap/1034082136

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