Estimates of the extinction probability of the Galton-Watson process
We generalize Quine's result on the convergence of the extinction probability of the supercritical Galton-Watson process to one if the average number of offsprings tends to one without any restrictions on factorial moments.
Saved in:
| Date: | 1995 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5414 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511646284251136 |
|---|---|
| author | Goryainov, V. V. Горяйнов, В. В. Горяйнов, В. В. |
| author_facet | Goryainov, V. V. Горяйнов, В. В. Горяйнов, В. В. |
| author_sort | Goryainov, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:41Z |
| description | We generalize Quine's result on the convergence of the extinction probability of the supercritical Galton-Watson process to one if the average number of offsprings tends to one without any restrictions on factorial moments. |
| first_indexed | 2026-03-24T03:16:12Z |
| format | Article |
| fulltext |
0146
0147
|
| id | umjimathkievua-article-5414 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:12Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ca/0ad2a7bb85c80d4285ab9d4438bea7ca.pdf |
| spelling | umjimathkievua-article-54142020-03-19T08:58:41Z Estimates of the extinction probability of the Galton-Watson process Оценки вероятности вырождения процесса Гальтона - Ватсона Goryainov, V. V. Горяйнов, В. В. Горяйнов, В. В. We generalize Quine's result on the convergence of the extinction probability of the supercritical Galton-Watson process to one if the average number of offsprings tends to one without any restrictions on factorial moments. Узагальнено результат Квайна про збіжність до одиниці ймовірності виродження суперкритич-ного процесу Гальтона-Ватсона, якщо середнє число нащадків наближається до одиниці при відсутності обмежень на факторіальні моменти. Institute of Mathematics, NAS of Ukraine 1995-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5414 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 2 (1995); 290–291 Український математичний журнал; Том 47 № 2 (1995); 290–291 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5414/7517 https://umj.imath.kiev.ua/index.php/umj/article/view/5414/7518 Copyright (c) 1995 Goryainov V. V. |
| spellingShingle | Goryainov, V. V. Горяйнов, В. В. Горяйнов, В. В. Estimates of the extinction probability of the Galton-Watson process |
| title | Estimates of the extinction probability of the Galton-Watson process |
| title_alt | Оценки вероятности вырождения процесса Гальтона - Ватсона |
| title_full | Estimates of the extinction probability of the Galton-Watson process |
| title_fullStr | Estimates of the extinction probability of the Galton-Watson process |
| title_full_unstemmed | Estimates of the extinction probability of the Galton-Watson process |
| title_short | Estimates of the extinction probability of the Galton-Watson process |
| title_sort | estimates of the extinction probability of the galton-watson process |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5414 |
| work_keys_str_mv | AT goryainovvv estimatesoftheextinctionprobabilityofthegaltonwatsonprocess AT gorâjnovvv estimatesoftheextinctionprobabilityofthegaltonwatsonprocess AT gorâjnovvv estimatesoftheextinctionprobabilityofthegaltonwatsonprocess AT goryainovvv ocenkiveroâtnostivyroždeniâprocessagalʹtonavatsona AT gorâjnovvv ocenkiveroâtnostivyroždeniâprocessagalʹtonavatsona AT gorâjnovvv ocenkiveroâtnostivyroždeniâprocessagalʹtonavatsona |