The paper studies identification of linear systems with multiplicative noise from multiple-trajectory data. An algorithm based on the least-squares method and data is proposed for joint estimation nominal system matrices covariance matrix noise. does not need prior knowledge or stability system, but requires only independent inputs pre-designed first second moments relatively small trajectory l...

Considering profiles as functional variables, two control charts are proposed for their monitoring in phase II. Due to its conformity with the nature of real-world profiles, applying functional model leads to proposed control charts obtained through functional data analysis techniques with desired features. These include simplicity in calculation and possibility of using them for different prof...

In this paper it is proved that Girard's proof nets for multiplicative linear logic characterise free semi-⋆-autonomous-categories.

This paper is concerned with estimating the mean of a random variable Y conditional on a vector of covariates X under weak assumptions about the form of the conditional mean function. Fully nonparametric estimation is usually unattractive when X is multidimensional because estimation precision decreases rapidly as the dimension of X increases. This problem can be overcome by using dimension red...

In this paper, the purpose is to design a filter for a stochastic bilinear system which satisfies an H∞ prescribed norm constraint and such that the estimation error is mean-square stable. The system under consideration is bilinear in control input and is subjected to multiplicative noise in both the state and the measurement equations. The system is also corrupted by deterministic perturbation...

The Q-property of a multiplicative transformation AXAT in semidefinite linear complementarity problems is characterized when A is normal.

Atmospheric circulation statistics are not strictly Gaussian. Small bumps and other deviations from Gaussian probability distributions are often interpreted as implying the existence of distinct and persistent nonlinear circulation regimes associated with higher-than-average levels of predictability. In this paper it is shown that such deviations from Gaussianity can, however, also result from ...