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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| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Kirjan osa |
| Julkaistu: |
KIT Scientific Publishing
2010
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| Aiheet: | |
| Linkit: | Get Fullteks DOAB: description of the publication |
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| LEADER | 01525naaaa2200289uu 4500 | ||
|---|---|---|---|
| 001 | doab_20_500_12854_59704 | ||
| 005 | 20210212 | ||
| 020 | |a KSP/1000019800 | ||
| 020 | |a 9783866445703 | ||
| 024 | 7 | |a 10.5445/KSP/1000019800 |c doi | |
| 041 | 0 | |a English | |
| 042 | |a dc | ||
| 100 | 1 | |a Lao, Wei |4 auth | |
| 245 | 1 | 0 | |a Some weak limit laws for the diameter of random point sets in bounded regions |
| 260 | |b KIT Scientific Publishing |c 2010 | ||
| 300 | |a 1 electronic resource (V, 139 p. p.) | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a 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. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-nc-nd/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
| 546 | |a English | ||
| 653 | |a limit distribution | ||
| 653 | |a random point set | ||
| 653 | |a maximum distance | ||
| 653 | |a Poisson approximation | ||
| 653 | |a geometric extreme value theory | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://www.ksp.kit.edu/9783866445703 |7 0 |z Get Fullteks |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/59704 |7 0 |z DOAB: description of the publication |