On the distribution of the supremum for stochastic processes
Lajos Takács (1970)
Annales de l'I.H.P. Probabilités et statistiques
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Lajos Takács (1970)
Annales de l'I.H.P. Probabilités et statistiques
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Dariusz Gątarek, Beniamin Gołdys (1996)
Studia Mathematica
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Existence, uniqueness and ergodicity of weak solutions to the equation of stochastic quantization in finite volume is obtained as a simple consequence of the Girsanov theorem.
K. Urbanik (1958)
Studia Mathematica
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D. Kannan (1972)
Annales de l'I.H.P. Probabilités et statistiques
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Martin Hála (1991)
Applications of Mathematics
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Boundary value problems for ordinary differential equations with random coefficients are dealt with. The coefficients are assumed to be Gaussian vectorial stationary processes multiplied by intensity functions and converging to the white noise process. A theorem on the limit distribution of the random eigenvalues is presented together with applications in mechanics and dynamics.