Afriat’s original method of proof is restored by using the minmax theorem.

recordings of ambient noise or microtremors are increasingly used to find valuable information on soil in one dimension at a given site. ambient vibrations, which are assumed to be mainly composed of surface waves, can be used to determine the surface wave dispersion curve in order to retrieve shear wave velocity profile. in this regard, microtremors are usually recorded simultaneously in an ar...

In this paper, we consider the rate-distortion optimal encoding of shape information using a skeleton decomposition and the minmum maximum (MINMAX) distortion criterion. For bit budget constrained video communication applications, whose goal is to achieve as low as possible but almost constant distortion, the MINMAX criterion is the natural choice. We propose a 4D DAG (directed acyclic graph) s...

In this paper, we consider the minmax product rate variation problem (PRVP), which consists in sequencing copies of different products on an assembly line in such a way that the maximum value of a discrepancy function between actual and ideal productions is minimum. One means of solving this problem lies in its reduction to a bottleneck assignment problem with a matrix of a special structure. T...

Considering the minmax programming problem, lower and upper subdifferential optimality conditions, in the sense of Mordukhovich, are derived. The approach here, mainly based on the nonsmooth dual objects of Mordukhovich, is completely different from that of most of the previous works where generalizations of the alternative theorem of Farkas have been applied. The results obtained are closed to...

| The problem of initial probability assignment consistent with the available information about a probabilis-tic system is called a direct problem. Jaynes' maximum en-tropy principle (MaxEnt) provides a method for solving direct problems when the available information is in the form of moment constraints. On the other hand, given a probability distribution, the problem of nding a set of constra...

We consider the class of Rudin-Shapiro-like polynomials, whose L norms on the complex unit circle were studied by Borwein and Mossinghoff. The polynomial f(z) = f0 + f1z + · · ·+ fdz d is identified with the sequence (f0, f1, . . . , fd) of its coefficients. From the L 4 norm of a polynomial, one can easily calculate the autocorrelation merit factor of its associated sequence, and conversely. I...

Positive autocorrelation implies that proximate observations take on similar values. “Proximate” can be defined in many different dimensions. In a cross-section of nations, it can be defined using physical distance, cultural similarity, ecological similarity, or using frequency and intensity of interaction, such as trade relationships or enemy and ally relationships. Autocorrelation of regressi...