Some weak limit laws for the diameter of random point sets in bounded regions
This book establishes several weak limit laws for problems in geometric extreme value theory. We find the limit law of the maximum Euclidean distance of i.i.d. points, as the number of points tends to infinity, under certain assumptions on the underlying distribution. One of the methods is also appl...
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| מחבר ראשי: | |
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| פורמט: | Online |
| שפה: | אנגלית |
| יצא לאור: |
KIT Scientific Publishing
2021
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| נושאים: | |
| גישה מקוונת: | 34864 |
| תגים: |
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| _version_ | 1869526761703735296 |
|---|---|
| author | Lao, Wei |
| author_browse | Lao, Wei |
| author_facet | Lao, Wei |
| author_sort | Lao, Wei |
| collection | Directory of Open Access Books |
| description | This book establishes several weak limit laws for problems in geometric extreme value theory. We find the limit law of the maximum Euclidean distance of i.i.d. points, as the number of points tends to infinity, under certain assumptions on the underlying distribution. One of the methods is also applicable for some other functionals, such as the maximum area or the maximum perimeter of triangles formed by point triplets. |
| format | Online |
| id | doab-20.500.12854ir-59704 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-597042023-12-20T18:40:36Z Some weak limit laws for the diameter of random point sets in bounded regions Lao, Wei QA1-939 limit distribution random point set maximum distance Poisson approximation geometric extreme value theory bic Book Industry Communication::P Mathematics & science This book establishes several weak limit laws for problems in geometric extreme value theory. We find the limit law of the maximum Euclidean distance of i.i.d. points, as the number of points tends to infinity, under certain assumptions on the underlying distribution. One of the methods is also applicable for some other functionals, such as the maximum area or the maximum perimeter of triangles formed by point triplets. 2021-02-12T04:05:43Z 2021-02-12T04:05:43Z 2019-07-30 20:01:59 2010 book 34864 9783866445703 https://directory.doabooks.org/handle/20.500.12854/59704 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.ksp.kit.edu/9783866445703 KIT Scientific Publishing 10.5445/KSP/1000019800 10.5445/KSP/1000019800 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783866445703 V, 139 p. open access |
| spellingShingle | QA1-939 limit distribution random point set maximum distance Poisson approximation geometric extreme value theory bic Book Industry Communication::P Mathematics & science Lao, Wei Some weak limit laws for the diameter of random point sets in bounded regions |
| title | Some weak limit laws for the diameter of random point sets in bounded regions |
| title_full | Some weak limit laws for the diameter of random point sets in bounded regions |
| title_fullStr | Some weak limit laws for the diameter of random point sets in bounded regions |
| title_full_unstemmed | Some weak limit laws for the diameter of random point sets in bounded regions |
| title_short | Some weak limit laws for the diameter of random point sets in bounded regions |
| title_sort | some weak limit laws for the diameter of random point sets in bounded regions |
| topic | QA1-939 limit distribution random point set maximum distance Poisson approximation geometric extreme value theory bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 limit distribution random point set maximum distance Poisson approximation geometric extreme value theory bic Book Industry Communication::P Mathematics & science |
| url | 34864 |
| work_keys_str_mv | AT laowei someweaklimitlawsforthediameterofrandompointsetsinboundedregions |