This article deals with the univariate calibration problem where calibration data come from several independent sources. Such a situation arises when measurements are made using different instruments or methods, or at diierent laboratories. It is assumed that the response variable at each source is normally distributed and the relationship between the response variable and the explanatory varia...

A univariate trace polynomial is a in variable x and formal symbols Tr ( j ) . Such an expression can be naturally evaluated on matrices, where the are as normalized traces. This paper addresses global constrained positivity of polynomials symmetric matrices all finite sizes. tracial analog Artin's solution to Hilbert's 17th problem given: positive semidefinite quotient sums products squares tr...