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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...
On the Values of Optimal Stopping Problems for Generalized Averages of Discrete Random Variables。
Testing for Differences Among Discrete Distributions: An Application of Model-Based Clustering。
There has been an explosion of interest in statistical models for analyzing network data, and considerable interest in the class of exponential random graph (ERG) models, especially in connection with...
We investigate the asymptotic normality of the posterior distribution in the discrete setting, when model dimension increases with sample size. We consider a probability mass function $theta_0$ on $ma...
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...
Given a set-valued stochastic process (Vt)t=0,...,T, we say that the martingale selection problem is solvable if there exists an adapted sequence of selectors ξt in Vt, admitting an equivalent marting...
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...
A compound Poisson process is considered. We estimate the current position of the stochastic process based on past discrete-time observations (non-linear discrete filtering problem) in Bayesian settin...
We investigate the relation between the local picture left by the trajectory of a simple random walk on the torus (Z/NZ)d, d ≥ 3, until u Nd time steps, u > 0, and the model of random interlacements r...

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