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The paper is concerned with the asymptotic behaviour of solutions to the nonlinear stochastic heat equations, with spatially homogeneous noise, in the whole space. Sufficient conditions for the exi...
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...
By a classical result of P. Lbvy, the Brownian motion (Btjtb0 on R may be characterized as a continuous process on R such that (B,),,, and (3;-t),,, are martingales. Generalizations of this result ...
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 ...
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) ...
We consider the one-dimensional stochastic equation for a continuous local martingale M with square variation {M) and measurable drift and diffusion coefficients b and F. The main purpose of this p...
In this paper we investigate a quantum stochastic calculus built of creation, annihilation and number of particles operators which fulfill some deformed commutation relations. Namely, we introduce ...
The paper presents a systematic study of classical statistical inference problems (parameter estimation and hypothesis testing) for random fields arising as solutions of the one-dimensional nonlinea...
We study thc almost sure and moment srabilily of a claxs of srachnstic partial diflerential t?quations and we present an ioFmite4imansiond vesion of a theorem proved fix stochmastic ordinary diffcr...
Modified eonjugate families OF prior distributiorrs are ia-uestigatcd and their propefiies are examined in the context d applica~ ons trr admissible md mi-dx eestEmatiaa far the general cxponentid ...
We show that for a von Neumann algebra in standard form with cyclic and separating tracial vector, and some classes of noncommutative processes on it, stopping and integrals of these processes can ...
We prove the existence and uniqueness theorem for stochastic differential equation8 with bounded coefficients driven by the renormalized square of white noise. These equations are interpreted as se...
We establish a logarithmic Sobolev inequality for a one- -dimensional multivalued stochastic differential equation associated with the subdillerential of a convex lower semicontinuous function, usin...
We generalize the Erdos-Renyi limit theorem on the maximum of partial sums of random variables to the case when the number of terms in these sums in randomly distributed. Relations between this lim...
It is shown that the lower and upper critical values of the Durbin-Watson (&w) statistic are asymptotically the same for the analysis based on M-estimators as for the classical least squares analys...

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