Displaying similar documents to “Construction of diffusion processes with Wentzell's boundary conditions by means of Poisson point processes of Brownian excursions”

Moments of some random functionals

K. Urbanik (1997)

Colloquium Mathematicum

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The paper deals with nonnegative stochastic processes X(t,ω)(t ≤ 0) not identically zero with stationary and independent increments right-continuous sample functions and fulfilling the initial condition X(0,ω)=0. The main aim is to study the moments of the random functionals 0 f ( X ( τ , ω ) ) d τ for a wide class of functions f. In particular a characterization of deterministic processes in terms of the exponential moments of these functionals is established.