<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper constructs a mental health probability space based on the law of large numbers. First, this paper defines and predicts the transition of personal emotion and the transmission of emotion. This study treats emotion as two random stages. At the same time, according to the initial parameters of each different stage model, a psychological model with individual characteristics based on the Markov chain is established. It can predict the outcome of emotional activities emotionally. Finally, numerical simulation is carried out with Matlab. The results show that the prediction method can well reflect the emotional state transmission. It can be used in psychological prediction simulations of individuals. The mental health statistical model based on the law of large numbers established in this paper opens up a new way for individual psychological counseling and mental health training.</p>
</abstract>

This paper constructs a mental health probability space based on the law of large numbers. First, this paper defines and predicts the transition of personal emotion and the transmission of emotion. This study treats emotion as two random stages. At the same time, according to the initial parameters of each different stage model, a psychological model with individual characteristics based on the Markov chain is established. It can predict the outcome of emotional activities emotionally. Finally, numerical simulation is carried out with Matlab. The results show that the prediction method can well reflect the emotional state transmission. It can be used in psychological prediction simulations of individuals. The mental health statistical model based on the law of large numbers established in this paper opens up a new way for individual psychological counseling and mental health training.

Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

This paper constructs a mental health probability space based on the law of large numbers. First, this paper defines and predicts the transition of personal...

Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers

Published Online: Apr 28, 2023

Page range: 2975 - 2984

Received: Mar 08, 2022

Accepted: Jul 04, 2022

DOI: https://doi.org/10.2478/amns.2023.1.00021

Keywords
Psychological prediction model, Law of large numbers, Central limit theorem, Hidden Markov model

© 2023 Weibin Lan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers

Published Online: Apr 28, 2023

Page range: 2975 - 2984

Received: Mar 08, 2022

Accepted: Jul 04, 2022

DOI: https://doi.org/10.2478/amns.2023.1.00021

KeywordsPsychological prediction model, Law of large numbers, Central limit theorem, Hidden Markov model

© 2023 Weibin Lan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Psychological prediction model, Law of large numbers, Central limit theorem, Hidden Markov model