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Statistical inference for discrete time observations of an affine stochastic delay differential equation is considered. The main focus is on maximum pseudo-likelihood estimators, which are easy to cal...
Extension of Lipschitz integrands and minimization of nonconvex integral functionals. Applications to the optimal recourse problem in discrete time
Let (X(t); f E N') be a random sequence adopted to . a filtration (Ft)in (a,F ,P ) satisfying some natural assumption. If none of the events (X (t + 1) > X (t)), (X (t + 1) < X (t)) can be predicted...
In the paper discrete time portblio selection with maximization of a discounted satisfaction functional is studied. In Section 2 the case without transaction costs is considered and explint solutio...
We consider a discrete time periodically correlated process {X.} which is also Markov in the wide sense. We provide closed formulas for the covariance function R (n, m) = EX, X, and for the spectra...
Adap~ve control of discrete time Markov processes with an innnite horizon risk sensitive cost hadionat is investigated. Tfie con~nuityo f the optimal nsk sensitive cost with respect to a parmetes o...
Due to the well-known fact that market returns are not normally distributed, we use generalized hyperbolic distributions for pricing options in a randomized discrete-time setup. The obtained formul...
We consider a ψ-irreducible, discrete-time Markov chain on a general state space with transition kernel P. Under suitable conditions on the chain, kernels can be treated as bounded linear operators...
The nonlinear filter associated with the discrete time signal-observation model $(X_k,Y_k)$ is known to forget its initial condition as $ktoinfty$ regardless of the observation structure when the sign...

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