Norbert Gaffke

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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)
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)
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)
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)
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)
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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