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In some socio-economic surveys, data are collected on sensitive or stigmatizing issues such as tax evasion, criminal conviction, drug use, etc. In such surveys, direct questioning of respondents is no...
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...
We consider the discrete three dimensional scan statistics. Viewed as the maximum of an 1-dependent stationary r.v.'s sequence, we provide approximations and error bounds for the probability distribut...
A maximum likelihood based model selection of discrete Bayesian networks is considered. The model selection is performed through scoring function S, which, for a given network G and n-sample Dn, is ...
We approximate the solution of some linear systems of SDEs driven by a fractional Brownian motion $B^H$ with Hurst parameter $H\in(\frac{1}{2},1)$ in the Wick--It\^{o} sense, including a geometric fra...
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...
In this paper, we consider the following natural problem: suppose pi and pa are two probability measures with fimte supports S(pl), S(p2), respectively, such that IS(,u1)1 = lSbz)l and S(pl)uS(pZ) ...
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...
A concept 01 the probability of failure is introduced. Some popular methods of exact computation of ruin probability are adopted to compute failure probability. Based on the f o d a presented in [5...
We study convergence of discrete approximations of reflected backward stochastic differential equations with random terminal time in a general convex domain. Applications to investigation of the via...

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