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- Norbert Gaffke, Friedrich Pukelsheim
- Mathematical Social Sciences
- 2008

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: Abstract When the seats in a parliamentary body are to be allocated proportionally to… (More)

- Norbert Gaffke, Friedrich Pukelsheim
- Math. Meth. of OR
- 2008

- Karl Heinz Borgwardt, Norbert Gaffke, Michael Jünger, Gerhard Reinelt
- Applied Geometry And Discrete Mathematics
- 1990

- Meik Dörpinghaus, Norbert Gaffke, Lorens A. Imhof, Rudolf Mathar
- 2013 Information Theory and Applications Workshop…
- 2013

In the present work, a discrete-time stationary Rayleigh flat-fading channel with unknown channel state information at the transmitter and the receiver is considered. The law of the channel is assumed to be known at the receiver and the fading process is supposed to be a stationary Gaussian process with an absolutely summable autocorrelation function. The… (More)

- Norbert Gaffke
- 2004

We consider the nonparametric model of n i. i. d. nonnegative real random variables whose distribution is unknown. An interesting parameter of that distribution is its expectation µ. Wang & Zhao (2003) studied the problem of testing the one-sided hypotheses H 0 : µ ≤ µ 0 vs. H 1 : µ > µ 0 (with a given µ 0 > 0, where w.l.g. one may take µ 0 = 1). For n = 1… (More)

- Moudar Soumaya, Norbert Gaffke, Rainer Schwabe
- J. Multivariate Analysis
- 2015

The concept of seemingly unrelated models is used for multivariate observations when the components of the multivariate dependent variable are governed by mutually different sets of explanatory variables and the only relation between the components is given by a fixed covariance within the observational units. A mul-tivariate weighted least squares… (More)

- Norbert Gaffke, Ulrike Graßhoff, Rainer Schwabe
- Computational Statistics & Data Analysis
- 2014

- Jörg Budde, Norbert Gaffke
- Math. Meth. of OR
- 1999

The cost minimization problem in an agency model with imperfect monitoring is considered. Under the ®rst order approach, this can be stated as a convex minimization problem with linear inequality and equality constraints in a generally in®nite dimensional function space. We apply the Fenchel Duality Theorem, and obtain as a dual problem a concave… (More)

- Meik Dörpinghaus, Norbert Gaffke, Lorens A. Imhof, Rudolf Mathar
- SIAM J. Matrix Analysis Applications
- 2015

We prove a new inequality for the expectation E [log det (WQ + I)], where Q is a nonnegative definite matrix and W is a diagonal random matrix with identically distributed nonneg-ative diagonal entries. A sharp lower bound is obtained by substituting Q by the diagonal matrix of its eigenvalues Γ. Conversely, if this inequality holds for all Q and Γ, then… (More)

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