Paper
19 February 2004 Analysis of Markov process nonlinear transformations on Ito formula
A. S. Popov
Author Affiliations +
Proceedings Volume 5381, Lasers for Measurements and Information Transfer 2003; (2004) https://doi.org/10.1117/12.547711
Event: Lasers for Measurements and Information Transfer 2003, 2003, St. Petersburg, Russian Federation
Abstract
Offered alternative approach to the probabilistic analysis of nonlinear transformations of stochastic processes on the grounds of using a formula of change variables in the stochastic integral Ito. It is shown that in cognate conditions results of the analysis comply with results of the known transformation method of probability density functions.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
A. S. Popov "Analysis of Markov process nonlinear transformations on Ito formula", Proc. SPIE 5381, Lasers for Measurements and Information Transfer 2003, (19 February 2004); https://doi.org/10.1117/12.547711
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KEYWORDS
Stochastic processes

Differential equations

Control systems

Laser marking

Process modeling

Signal processing

Statistical analysis

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