Modern research often contains stochastic differential equations as the basis of the complex systems model. Modeling of complex systems is often limited to implementations of well-known models with a limited set of the output probability shapes of the of the observed random variable. Application of the well-known stochastic differential equation for the Beta family makes it possible to make models of complex systems flexible to the shape of the output distribution. The article contains stationary stochastic differential equations for the Beta family, obtained on the basis of an asymptotic approximation. The article discusses the features of stationary forms of distribution models included in the stochastic differential equation of the Beta family, and gives expressions for the components of the nonlinear drift velocity and diffusion rate for stationary models of output distributions. In particular, it shows that the properties of subfamilies and the restrictions imposed on the values of the supported random variables depend on the form of setting the family coefficient.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Stochastic differential equations of complex systems and their probability output distributions


    Beteiligte:
    Polosin, Vitaly G. (Autor:in) / Kovalev, Igor (Herausgeber:in) / Voroshilova, Anna (Herausgeber:in)

    Kongress:

    PROCEEDINGS OF THE V INTERNATIONAL SCIENTIFIC CONFERENCE ON ADVANCED TECHNOLOGIES IN AEROSPACE, MECHANICAL AND AUTOMATION ENGINEERING: (MIST: Aerospace-V 2023) ; 2023 ; Krasnoyarsk, Russian Federation


    Erschienen in:

    Erscheinungsdatum :

    27.03.2024


    Format / Umfang :

    13 pages





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Probability distributions for stochastic comfort in railway vehicles

    Morales, A.L. / Palomares, E. / Nieto, A.J. et al. | Taylor & Francis Verlag | 2024


    Linearized controller design for the output probability density functions of non-Gaussian stochastic systems

    Kabore, P. / Baki, H. / Yue, H. et al. | British Library Online Contents | 2005


    Uniform Attitude Probability Distributions

    Shuster, Malcolm D. | Springer Verlag | 2003


    Uniform Attitude Probability Distributions

    Shuster, Malcolm D. | Online Contents | 2003


    Uniform Attitude Probability Distributions

    Shuster, Malcolm D. | Online Contents | 2003