Rate of Convergence and Periodicity of the Expected Population Structure of Markov Systems that Live in a General State Space
In this article we study the asymptotic behaviour of the expected population structure of a Markov system that lives in a general state space (MSGS) and its rate of convergence. We continue with the study of the asymptotic periodicity of the expected population structure. We conclude with the study...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/6/1021 |
| _version_ | 1797564478392369152 |
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| author | P. -C. G. Vassiliou |
| author_facet | P. -C. G. Vassiliou |
| author_sort | P. -C. G. Vassiliou |
| collection | DOAJ |
| description | In this article we study the asymptotic behaviour of the expected population structure of a Markov system that lives in a general state space (MSGS) and its rate of convergence. We continue with the study of the asymptotic periodicity of the expected population structure. We conclude with the study of total variability from the invariant measure in the periodic case for the expected population structure of an MSGS. |
| first_indexed | 2024-03-10T18:58:50Z |
| format | Article |
| id | doaj.art-f5217e285e1741479203ee2d69a42b2a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:58:50Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f5217e285e1741479203ee2d69a42b2a2023-11-20T04:36:58ZengMDPI AGMathematics2227-73902020-06-0186102110.3390/math8061021Rate of Convergence and Periodicity of the Expected Population Structure of Markov Systems that Live in a General State SpaceP. -C. G. Vassiliou0Department of Statistical Science, University College London, Gower st, London WC1E 6BT, UKIn this article we study the asymptotic behaviour of the expected population structure of a Markov system that lives in a general state space (MSGS) and its rate of convergence. We continue with the study of the asymptotic periodicity of the expected population structure. We conclude with the study of total variability from the invariant measure in the periodic case for the expected population structure of an MSGS.https://www.mdpi.com/2227-7390/8/6/1021Markov processes in general spacesMarkov systemsasymptotic periodicity |
| spellingShingle | P. -C. G. Vassiliou Rate of Convergence and Periodicity of the Expected Population Structure of Markov Systems that Live in a General State Space Mathematics Markov processes in general spaces Markov systems asymptotic periodicity |
| title | Rate of Convergence and Periodicity of the Expected Population Structure of Markov Systems that Live in a General State Space |
| title_full | Rate of Convergence and Periodicity of the Expected Population Structure of Markov Systems that Live in a General State Space |
| title_fullStr | Rate of Convergence and Periodicity of the Expected Population Structure of Markov Systems that Live in a General State Space |
| title_full_unstemmed | Rate of Convergence and Periodicity of the Expected Population Structure of Markov Systems that Live in a General State Space |
| title_short | Rate of Convergence and Periodicity of the Expected Population Structure of Markov Systems that Live in a General State Space |
| title_sort | rate of convergence and periodicity of the expected population structure of markov systems that live in a general state space |
| topic | Markov processes in general spaces Markov systems asymptotic periodicity |
| url | https://www.mdpi.com/2227-7390/8/6/1021 |
| work_keys_str_mv | AT pcgvassiliou rateofconvergenceandperiodicityoftheexpectedpopulationstructureofmarkovsystemsthatliveinageneralstatespace |