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Representation of strongly stationary stochastic processes. (English) Zbl 0794.73042

Summary: A generalization of the orthogonality conditions for a stochastic process to represent strongly stationary processes up to a fixed order is presented. The particular case of non-normal delta correlated processes, and the probabilistic characterization of linear systems subjected to strongly stationary stochastic processes are also discussed.

MSC:

74H50 Random vibrations in dynamical problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
70L05 Random vibrations in mechanics of particles and systems
60H30 Applications of stochastic analysis (to PDEs, etc.)
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