Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2023-01-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2023.1.00021 |
| _version_ | 1797688768479625216 |
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| author | Lan Weibin Chang Jingying |
| author_facet | Lan Weibin Chang Jingying |
| author_sort | Lan Weibin |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T01:35:31Z |
| format | Article |
| id | doaj.art-cac1cb0d56cb4677a5ff032a3a2fc746 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-03-12T01:35:31Z |
| publishDate | 2023-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-cac1cb0d56cb4677a5ff032a3a2fc7462023-09-11T07:01:10ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562023-01-01812975298410.2478/amns.2023.1.00021Statistical Model of College Students’ Mental Health Based on the Law of Large NumbersLan Weibin0Chang Jingying11School of Economics and Management, Henan Quality Institute, Henan, Pingdingshan, 467000,China.1School of Economics and Management, Henan Quality Institute, Henan, Pingdingshan, 467000,China.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.https://doi.org/10.2478/amns.2023.1.00021psychological prediction modellaw of large numberscentral limit theoremhidden markov model62h10 |
| spellingShingle | Lan Weibin Chang Jingying Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers Applied Mathematics and Nonlinear Sciences psychological prediction model law of large numbers central limit theorem hidden markov model 62h10 |
| title | Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers |
| title_full | Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers |
| title_fullStr | Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers |
| title_full_unstemmed | Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers |
| title_short | Statistical Model of College Students’ Mental Health Based on the Law of Large Numbers |
| title_sort | statistical model of college students mental health based on the law of large numbers |
| topic | psychological prediction model law of large numbers central limit theorem hidden markov model 62h10 |
| url | https://doi.org/10.2478/amns.2023.1.00021 |
| work_keys_str_mv | AT lanweibin statisticalmodelofcollegestudentsmentalhealthbasedonthelawoflargenumbers AT changjingying statisticalmodelofcollegestudentsmentalhealthbasedonthelawoflargenumbers |