A Weak Limit Theorem for Galton-Watson Processes in Varying Environments
We extend Donsker’s theorem and the central limit theorem of classical Galton-Watson process to the Galton-Watson processes in varying environment.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/364372 |
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| _version_ | 1832558693342773248 |
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| author | Zhenlong Gao Yanhua Zhang |
| author_facet | Zhenlong Gao Yanhua Zhang |
| author_sort | Zhenlong Gao |
| collection | DOAJ |
| description | We extend Donsker’s theorem and the central limit theorem of
classical Galton-Watson process to the Galton-Watson processes in varying
environment. |
| format | Article |
| id | doaj-art-e21b00d0130a4cabacd6b42e6cae00bf |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e21b00d0130a4cabacd6b42e6cae00bf2025-02-03T01:31:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/364372364372A Weak Limit Theorem for Galton-Watson Processes in Varying EnvironmentsZhenlong Gao0Yanhua Zhang1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaWe extend Donsker’s theorem and the central limit theorem of classical Galton-Watson process to the Galton-Watson processes in varying environment.http://dx.doi.org/10.1155/2014/364372 |
| spellingShingle | Zhenlong Gao Yanhua Zhang A Weak Limit Theorem for Galton-Watson Processes in Varying Environments Journal of Applied Mathematics |
| title | A Weak Limit Theorem for Galton-Watson Processes in Varying Environments |
| title_full | A Weak Limit Theorem for Galton-Watson Processes in Varying Environments |
| title_fullStr | A Weak Limit Theorem for Galton-Watson Processes in Varying Environments |
| title_full_unstemmed | A Weak Limit Theorem for Galton-Watson Processes in Varying Environments |
| title_short | A Weak Limit Theorem for Galton-Watson Processes in Varying Environments |
| title_sort | weak limit theorem for galton watson processes in varying environments |
| url | http://dx.doi.org/10.1155/2014/364372 |
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