Generalized stochastic processes
K. Urbanik (1958)
Studia Mathematica
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K. Urbanik (1958)
Studia Mathematica
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K. Urbanik (1958)
Studia Mathematica
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Lajos Takács (1970)
Annales de l'I.H.P. Probabilités et statistiques
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D. Kannan (1972)
Annales de l'I.H.P. Probabilités et statistiques
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K. Helmes (1986)
Studia Mathematica
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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 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.
Simeon M. Berman (1983)
Annales de l'I.H.P. Probabilités et statistiques
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