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The control process that minimizes the quadratic performance functional associated with a quantum system whose evolution is described by a Hudson-Parthasarathy type stochastic differential equation...
We prove existence and uniqueness results of the solution for infinite horizon reflected backward stochastic differential equations with one or two barriers. We also apply these results to get the ...
Under the geometric compounding model, we fist investigate the relationship between the compound geometric distribution and the underlying distribution, including the preservabon of the infinite di...
We establish new almost sure properties for powers of weighted martingale transbrms. It allows us to deduce usefuI asymptotic results for cumulative prediction and estimation errors associated with...
The concept of operator stability on finitedimensional vector spaces V was generalized in the past into several directions. In particular, operator-semistable and self-decomposable laws and self- -...
We present an integral test to determine the limiting behavior of weighted sums of i.i.d. Rd-valued random vectors belonging to the (generalized) domain of operator semistable attraction of some no...
Rao (1979) established separation theorems for singular values of a matrix and showed their applications in multivariate analysis. In this paper, we provide generalized separation theorems for sing...
Wavelet Scalograms and their Applications in Economic Time Series。
We establish a functional limit law of the logarithm for the increments of the normed sample quantile process based upon random sample of size $n->infty$. We extend a limit law obtained by Deheuvels a...
Longitudinal data tracking repeated measurements on individuals are highly valued for research because they offer controls for unmeasured individual heterogeneity that might otherwise bias results. Ra...
For multivariate normal models and some exponential family models a multiple testing stepwise method is offered that is both admissible and consistent. The method is readily adaptable to selecting var...
Motivated by the study of dependent random variables by coupling with independent blocks of variables,we obtain first sufficient conditions for the moderate deviation principle in its functional form ...
This paper is a survey on some recent aspects and developments in stochastic control. We discuss the two main historical approaches, Bellman's optimality principle and Pontryagin's maximum principle, ...
We discuss several connections between discrete and continuous random trees. In the discrete setting, we focus on Galton-Watson trees under various conditionings. In particular, we present a simple ap...
We give an introduction to a notion of weak dependence which is more general than mixing and allows to treat for example processes driven by discrete innovations as they appear with time series bootst...

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