At the end of their debate with R. H. Str&, F. M. Fisher and J. Rothenberg make a plea for going beyond the Pareto optimality criterion in analyzing issues in welfare eoonomies.l The present study is in the spirit of this plea: an attempt is made in this paper to derive bounds on the optimal distribution of income under a particular set of value judgments. Because of a general reluctance of eco...

Consider the problem of discriminating between two polynomial regression models on the q-cube [−1, 1] , q ≥ 2, and estimating parameters in the models. To find designs which are efficient for both model discrimination and parameter estimation, Zen and Tsai (2002) proposed a multiple-objective optimality criterion for the univariate case. In this work, taking the same Mγ-criterion which uses wei...

We continue, and in a sense complete, our study the motion of a rod (line segment) in the plane in the presence of polygonal obstacles, under an optimality criterion based on minimizing the trace length of a fixed but arbitrary point (called the focus) on the rod. In an earlier paper, we showed that this problem is NP-hard when the focus is in the relative interior of the rod. Our proof did not...

The problem of asymptotically optimum watermark detection and embedding has been addressed in a recent paper by Merhav and Sabbag where the optimality criterion corresponds to the maximization of the false negative error exponent for a fixed false positive error exponent. In particular Merhav and Sabbag derive the optimum detection rule under the assumption that the detector relies on the secon...

In this paper we consider the problem of constructing T -optimal discriminating designs for Fourier regression models. We provide explicit solutions of the optimal design problem for discriminating between two Fourier regression models, which differ by at most three trigonometric functions. In general, the T -optimal discriminating design depends in a complicated way on the parameters of the la...

Determination of Cramer-Rao lower bound (CRLB) as an optimality criterion for the problem of localization in wireless sensor networks (WSNs) is a very important issue. Currently, CRLBs have been derived for line-of-sight (LOS) situation in WSNs. However, one of major problems for accurate localization in WSNs is non-line-of-sight (NLOS) propagation. This article proposes two CRLBs for WSNs loca...