MODELING THE SECOND ORDER NON-STATIONARY RANDOM PROCESSES DEVELOPMENT

Authors

  • Igor Tkachenko Author
  • Victoria Miroshnichenko Author
  • Kostiantin Tkachenko Author
  • Sergiy Miroshnichenko Author
  • Yuriy Miroshnichenko Author

DOI:

https://doi.org/10.37602/IJEBSSR.2025.3504

Keywords:

non-stationary stochastic processes,, the third and second order stochastic processes, constitutive differential equation, periodic combination of non-periodic analytic solutions,, negative probability values before the processes macroscopically fixed beginning

Abstract

Annotation. We applied early developed analytic approach for analysis of third order non-stationary stochastic processes (NSPs) to consider the second order ones. A new constitutive differential equation for the NSPs was derived, and its analytic solutions were obtained. Possibility of periodic combination of non- periodic analytic solutions of the equation was shown. Development of a 2-nd order NSP long before its macroscopically fixed beginning was shown and a possible explanation of the corresponding negative probability values for the time period was proposed. Necessity of further fine-tuned experimental investigations is noted

Author Biographies

  • Igor Tkachenko

    Independent Researcher, Mariupol, Lviv, Ukraine

  • Victoria Miroshnichenko

    Independent Researcher, Mariupol, Lviv, Ukraine

  • Kostiantin Tkachenko

    Independent Researcher, Mariupol, Lviv, Ukraine

  • Sergiy Miroshnichenko

    Independent Researcher, Mariupol, Lviv, Ukraine

  • Yuriy Miroshnichenko

    Independent Researcher, Mariupol, Lviv, Ukraine

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Published

2025-10-11