Про стохастичні регресійні моделі з неперервним часом

Two processes described by related impulse dynamical systems are considered. When combined, they are an analogue of the autoregressive model with GARCH errors and Markov process instead of "white noise" as well as with switching moments, which are random, that is, with Poisson’s flow. In t...

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Datum:2018
Hauptverfasser: Pavlenko, O. I., Goldshteine, I. Ya.
Format: Artikel
Sprache:Russisch
Veröffentlicht: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2018
Online Zugang:http://journal.iasa.kpi.ua/article/view/127963
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Назва журналу:System research and information technologies

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System research and information technologies
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Zusammenfassung:Two processes described by related impulse dynamical systems are considered. When combined, they are an analogue of the autoregressive model with GARCH errors and Markov process instead of "white noise" as well as with switching moments, which are random, that is, with Poisson’s flow. In the analysis of the behavior of these processes, modeling of the solutions of impulse dynamic systems in MATLAB, averaging of the initial systems, diffusive approximation of normalized deviations of the initial processes from the solutions of the corresponding averaged equations and modeling of the solutions for the obtained diffusion equations with the program MATHEMATICA are combined.