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We considers the adaptive stabilization problem for a basic class of linear-quadratic non-cooperative stochastic differential games when the systems matrices are unknown to the regulator and the playe...
Outline • Stochastic wave equations on Rn. • Random attractors theory. • Random absorbing sets for wave equations. • Pullback asymptotic compactness. • Existence of ...
Due to lack of knowledge: Missing mechanisms (ignored “too small" or “too fast" or “unimportant" processes) Unresolved scales (not represented in models) Model uncertainties
Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense that for s...
For generalized linear models (GLM), in case the regressors are stochastic and have different distributions, the asymptotic properties of the maximum likelihood estimate (MLE) $\hat{\beta}_n$ of the p...

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