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- Holger Dette
- 2000

In the problem of testing the equality of k regression curves from independent samples we discuss three methods using nonparametric estimation techniques of the regression function. The rst test isâ€¦ (More)

- Holger Dette, Kay F. Pilz
- 2004

In this paper we present a detailed numerical comparison of three monotone nonparametric kernel regression estimates, which isotonize a nonparametric curve estimator. The first estimate is theâ€¦ (More)

- Holger Dette, Andrey Pepelyshev
- Technometrics
- 2010

Space filling designs, which satisfy a uniformity property, are widely used in computer experiments. In the present paper the performance of non-uniform experimental designs which locate more pointsâ€¦ (More)

We derive strong uniform approximations for the eigenvalues in general Laguerre and Hermite Î²-ensembles by showing that the maximal discrepancy between the suitably scaled eigenvalues and roots ofâ€¦ (More)

In a recent paper Lee and Na (2001) introduced a test for a parametric form of the distribution of the innovations in autoregressive models, which is based on the integrated squared error of theâ€¦ (More)

- Holger Dette, Andrey Pepelyshev, Anatoly A. Zhigljavsky
- Computational Statistics & Data Analysis
- 2008

In this paper we discuss a class of multiplicative algorithms for computing D-optimal designs for regression models on a finite design space. We prove a monotonicity result for a sequence ofâ€¦ (More)

- Holger Dette
- 2004

We construct efficient designs for the Michaelis-Menten enzyme kinetic model capable of checking model assumption. An extended model, called EMAX model is also considered for this purpose. This modelâ€¦ (More)

- Holger Dette, Bettina Reuther, W. J. Studden, Marcin J. Zygmunt
- SIAM J. Matrix Analysis Applications
- 2006

In this paper we study the connection between matrix measures and random walks with a block tridiagonal transition matrix. We derive sufficient conditions such that the blocks of the n-step blockâ€¦ (More)

We consider the problem of constructing optimal designs for model discrimination between competing regression models. Various new properties of optimal designs with respect to the popular Tâ€¦ (More)

- Holger Dette
- 2007

In this paper a new nonparametric estimate of conditional quantiles is proposed, that avoids the problem of crossing quantile curves [calculated for various p âˆˆ (0, 1)]. The method uses an initialâ€¦ (More)