6533b861fe1ef96bd12c565e

RESEARCH PRODUCT

Representation of Strongly Stationary Stochastic Processes

M. Di Paola

subject

Continuous-time stochastic processMathematical optimizationStochastic processGeneralizationMechanical EngineeringLinear systemStationary sequenceCondensed Matter PhysicsOrthogonalityMechanics of MaterialsLocal timeStatistical physicsGauss–Markov processMathematics

description

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.

https://doi.org/10.1115/1.2900859