Chen Lei and Huang Ting.  Application of probabilistic random variables and their digital characteristics.  Dynamic Systems and Applications 29 (2020) No. 3, 456-476

https://doi.org/10.46719/dsa20202936

ABSTRACT.
In many scientific fields of nature and engineering technology, probabilistic random variables and processes are often used to describe their physical or chemical processes. There are many problems in the process of solving the traditional probabilistic random variable problem. Based on this, this paper studies the application of probabilistic random variables and their digital characteristics. Firstly, the research status of probabilistic random variables and digital characteristics is analyzed. According to the existing research status, a linear multi-step method is proposed to solve the rigid probabilistic random variables. Combined with the above methods, the calculation methods and principles of probabilistic random variables and their probabilities are studied and derived; combined with practical problems, the stability of linear multistep is obtained, and the stability of probabilistic random equation is analyzed on this basis; then through the construction of Euler formula and equation in the process of solving probabilistic random variables, the probability of linear multistep solution is obtained General steps of machine variables and stochastic processes. Finally, through three numerical calculations, the effectiveness and accuracy of probabilistic random variables and their numerical characteristics in practical application are verified, which provides a theoretical basis for the follow-up study.

Key Words. random variables; digital features; linear multistep; dimensionality reduction