In this talk we present the Riccati inequality and equality for infinite dimensional linear discrete time stationary systems with respect to the scattering supply rate. The results are based on earlier work on the Kalman-Yakubovich-Popov inequality in [AKP1]. The main theorems are closely related to the results of Yu.M. Arlinskĭı [ARL]. The main difference is that we do not assume the original ...

Abstract: In the analysis of contingency tables, often one faces two difficult criteria: sampled and target populations are not identical and prior information translates to the presence of general linear inequality restrictions. Under these situations, we present new models of estimating cell probabilities related to four well-known methods of estimation. We prove that each model yields maximu...

This paper argues that health transfers from an individual at a lower rank in the health distribution to a person at a higher rank may decrease the concentration index if the former has a slightly higher income. The concentration index, being mainly focused on the socio-economic dimension of health inequality, can produce such counter-intuitive results that overlook the pure health inequality a...

Amongst 33-year olds in the UK National Child Development Study (NCDS), ill health (as measured by cardinalised responses to a question on self-assessed health) is concentrated amongst the worse off. We seek to decompose these inequalities in ill health into their socioeconomic causes. In this decomposition, inequalities in health status depend on inequalities in each of the underlying determin...

In most rule-induction algorithms, the only operator used against nominal attributes is the equality operator =. In this paper, we first propose the use of the inequality operator, , in addition to the equality operator, to increase the expressiveness of induced rules. Then, we present a new method, Binary Coding, which can be used along with an arbitrary rule-induction algorithm to make use of...

‎In this paper‎, ‎we propose an algorithm to obtain an approximation set of the (weakly) nondominated points of nonsmooth multiobjective optimization problems with equality and inequality constraints‎. ‎We use an extension of the Wolfe duality to construct the separating hyperplane in Benson's outer algorithm for multiobjective programming problems with subdifferentiable functions‎. ‎We also fo...

The treatment of atherosclerotic stenoses is accomplished by a well-established interventional method called Percutaneous Transluminal Angioplasty (PTA). Generally, this procedure is accompanied with the deployment of small tube shape structure to support the wall of the injured artery and improve the limitations of balloon angioplasty, such as restenosis and abrupt closure. Numerous computatio...

In most rule-induction algorithms, the only operator used against nominal attributes is the equality operator =. In this paper, we first propose the use of the inequality operator, , in addition to the equality operator, to increase the expressiveness of induced rules. Then, we present a new method, Binary Coding, which can be used along with an arbitrary rule-induction algorithm to make use of...

In this paper, the multi-objective optimization problem with equality and inequality constraints is solved by using interactive sequential optimization technique (I-SHOT) which convert the constrained multi-objective optimization problem to a single objective optimization problem with equality and inequality constraints. A trust-region algorithm for solving a single objective optimization probl...

This work is part of an ongoing effort comparing non-smooth optimization problems in abs-normal form to MPCCs. We study the general NLP with equality and inequality constraints relation equivalent MPCC reformulation. show that kink qualifications constraint linear independence type Mangasarian-Fromovitz are equivalent. Then we consider strong stationarity concepts first second order optimality ...