i ABSTRACT There has been much research involving simultaneous monitoring of several correlated quality characteristics that rely on the assumptions of multivariate normality and independence. In real world applications, these assumptions are not always met, particularly when small counts are of interest. In general, the use of normal approximation to the Poisson distribution seems to be justif...

This paper presents a technique for modeling nonlinear distortion of multirate time-varying communication circuits. To properly consider the weakly nonlinear distortion effects in circuits with multiple large-signal excitations, we capture the quasiperiodic boundary condition of the system Volterra kernels using a multivariate formulation. We then extend the model order reduction work of [8][9]...

In this paper we consider several multivariate extensions of comonotonicity. We show that naive extensions do not enjoy some of the main properties of the univariate concept. In order to have these properties more structure is needed than in the univariate case. AMS 2000 Subject Classification: Primary 60E05, Secondary 90B06.

1 Nat-Bijection: Bijections between natural numbers and other types 13 1.1 Type nat × nat . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.2 Type nat + nat . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1.3 Type int . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.4 Type nat list . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.5 Finite sets of naturals...

The subject of allometry is variation in morphometric variables or other features of organisms associated with variation in size. Such variation can be produced by several biological phenomena, and three different levels of allometry are therefore distinguished: static allometry reflects individual variation within a population and age class, ontogenetic allometry is due to growth processes, an...

The lecture addresses topics in multivariate approximation which have caught the author’s interest in the last ten years. These include: the approximation by functions with fewer variables, correct points for polynomial interpolation, the B(ernstein,-ézier, -arycentric)-form for polynomials and its use in understanding smooth piecewise polynomial (pp) functions, approximation order from spaces ...

1 Nat-Bijection: Bijections between natural numbers and other types 13 1.1 Type nat × nat . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.2 Type nat + nat . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.3 Type int . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.4 Type nat list . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.5 Finite sets of naturals...

A Multivariate Public-Key Cryptosystem (MPKC) is a public-key cryptosystem where the public map P, or trapdoor one-way function, is given as a set of m polynomial of a small degree d equations over n variables in a finite field F . Usually d = 2, hence the alternate name “Multivariate Quadratic” (MQ). To decrypt, authenticate or sign digitally, a user must, for a given m-tuple z = (z1, . . . , ...

As the name indicates, multivariate analysis comprises a set of techniques dedicated to the analysis of data sets with more than one variable. Several of these techniques were developed recently in part because they require the computational capabilities of modern computers. Also, because most of them are recent, these techniques are not always unified in their presentation, and the choice of t...

The purpose of this article is to introduce a new scheme for robust multivariate ranking by making use of a not so familiar notion called monotonicity. Under this scheme, as in the case of classical outward ranking, we get an increasing sequence of regions diverging away from a central region (may be a single point) as nucleus. The nuclear region may be deened as the median region.