Random Evolutionary Systems: Asymptotic Properties and Large Deviations
Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In R...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London
Wiley-ISTE
2021
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| Edition: | 1st edition. |
| Subjects: | |
| Links: | https://learning.oreilly.com/library/view/-/9781786307521/?ar |
| Summary: | Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results. |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781119851240 1119851246 9781786307521 |
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| indexdate | 2025-04-10T09:34:56Z |
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| isbn | 9781119851240 1119851246 9781786307521 |
| language | English |
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| spelling | Koroliouk, Dmitri VerfasserIn aut Random Evolutionary Systems Asymptotic Properties and Large Deviations Dmitri Koroliouk, Igor Samoilenko 1st edition. London Wiley-ISTE 2021 1 Online-Ressource Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results. Mathematical statistics Asymptotic theory Science Mathematical models Statistique mathématique ; Théorie asymptotique Sciences ; Modèles mathématiques Mathematical statistics ; Asymptotic theory Science ; Mathematical models Samoilenko, Igor VerfasserIn aut |
| spellingShingle | Koroliouk, Dmitri Samoilenko, Igor Random Evolutionary Systems Asymptotic Properties and Large Deviations Mathematical statistics Asymptotic theory Science Mathematical models Statistique mathématique ; Théorie asymptotique Sciences ; Modèles mathématiques Mathematical statistics ; Asymptotic theory Science ; Mathematical models |
| title | Random Evolutionary Systems Asymptotic Properties and Large Deviations |
| title_auth | Random Evolutionary Systems Asymptotic Properties and Large Deviations |
| title_exact_search | Random Evolutionary Systems Asymptotic Properties and Large Deviations |
| title_full | Random Evolutionary Systems Asymptotic Properties and Large Deviations Dmitri Koroliouk, Igor Samoilenko |
| title_fullStr | Random Evolutionary Systems Asymptotic Properties and Large Deviations Dmitri Koroliouk, Igor Samoilenko |
| title_full_unstemmed | Random Evolutionary Systems Asymptotic Properties and Large Deviations Dmitri Koroliouk, Igor Samoilenko |
| title_short | Random Evolutionary Systems |
| title_sort | random evolutionary systems asymptotic properties and large deviations |
| title_sub | Asymptotic Properties and Large Deviations |
| topic | Mathematical statistics Asymptotic theory Science Mathematical models Statistique mathématique ; Théorie asymptotique Sciences ; Modèles mathématiques Mathematical statistics ; Asymptotic theory Science ; Mathematical models |
| topic_facet | Mathematical statistics Asymptotic theory Science Mathematical models Statistique mathématique ; Théorie asymptotique Sciences ; Modèles mathématiques Mathematical statistics ; Asymptotic theory Science ; Mathematical models |
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