Gini index is a widely used measure of economic inequality. This article develops a theory and methodology for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width without assuming any specific distribution of the data. Fixed sample size methods cannot simultaneously achieve both specified confidence coefficient and fixed width. We deve...

In the design of multiple description lattice vector quantizers (MDLVQ), index assignment plays a critical role. In addition, one also needs to choose the Voronoi cell size of the central lattice ν, the sublattice index N , and the number of side descriptions K to minimize the expected MDLVQ distortion, given the total entropy rate of all side descriptions Rt and description loss probability p....

The approximating sequence Riccati equation method is an efficient approach for solving the nonlinear optimal control problems, but its neglect of dynamics and necessary optimality condition makes law difficult to satisfy optimality. In this paper, pseudospectral with state-dependent coefficient optimization algorithm proposed solve defect. By introducing method, original problem transformed in...

AbsPuct-The design of scalar quantizers for communication systems that use diversity to overcome channel impairments is considered. The design problem is posed as an optimization problem and necessary conditions for optimality are derived. A design algorithm, a generalization of Lloyd’s algorithm for quantizer design, is developed. Unlike a single channel scalar quantizer, the performance of a ...

‎In this paper‎, ‎some KKT type sufficient global optimality conditions‎ ‎for general mixed integer nonlinear programming problems with‎ ‎equality and inequality constraints (MINPP) are established‎. ‎We achieve‎ ‎this by employing a Lagrange function for MINPP‎. ‎In addition‎, ‎verifiable sufficient global optimality conditions for general mixed‎ ‎integer quadratic programming problems are der...

In this position paper, we argue that when we are looking for the best fuzzy logic, we should specify in what sense the best, and that we get different fuzzy logics as “the best” depending on what optimality criterion we use.

A boundary Pareto optimal control problem for the parabolic operator with infinite order is considered. The performance index has an integral form. Constraints on controls and on states are imposed. To obtain optimality conditions for the Neumann problem, the generalization of the Dubovitskii-Milyutin Theorem given by Walczak in Refs.[33,34], was applied. AMS Subject Classification : 35K20, 49J...

This paper studies a multiclass queueing system with an associated risksensitive cost observed in heavy traffic at the moderate deviation scale, accounting for convex queue length penalties. The main result is the asymptotic optimality of a dynamic index policy known from the diffusion-scale heavy traffic literature as the generalized cμ rule.

We present a theorem for verification of optimality of controlled diffusions under the average cost criterion with near-monotone running cost, without invoking any blanket stability assumptions. The implications of this result to the policy iteration algorithm are also discussed. Index Terms controlled diffusions, near-monotone costs, Hamilton–Jacobi–Bellman equation, policy iteration