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In the paper a characterization of interpolation error operator for Hilbert space valued staiionary stochastic processes is obtained.
On zero - sum stochastic games with general state space. I。
Some additive functionals concerning the Cauchy's principal value or the Hadamard's finite past are investigatd. A decomposition of additive functionals is proposed by using the Hilbert transform t...
On zero-sum stochastic games with general state space. II
We consider the problem of variable selection in data sets with many response variables and many covariates. A method is proposed that allows some covariates to affect some response var...
The paper contains the proof of a theorem on the continuity of a "stochastic process" taking its values in an algebra of operators measurable in Nelson's sense. If the algebra considered is abefian...
On a general zero-sum stochastic game with stopping strategy for one player and continuous strategy for the other。
The representations of Wiener process by uniformly convergent series of onedimensional Gaussian random processes in a separable Banach space are given (Section I). The Ito stochastic integral of an...
Rositiski and Suchanecki have characterized the class of deterministic E-valued functions integrable with respect to Brownian motion, where E is a given Banach space. We extend their result to rand...

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