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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| Year of Publication: | 2010 |
| Language: | English |
| Physical Description: | 1 electronic resource (V, 139 p. p.) |
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(CKB)4920000000101411 (oapen)https://directory.doabooks.org/handle/20.500.12854/59704 (EXLCZ)994920000000101411 |
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Lao, Wei auth Some weak limit laws for the diameter of random point sets in bounded regions KIT Scientific Publishing 2010 1 electronic resource (V, 139 p. p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier 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. English limit distribution random point set maximum distance Poisson approximation geometric extreme value theory 3-86644-570-9 |
| language |
English |
| format |
eBook |
| author |
Lao, Wei |
| spellingShingle |
Lao, Wei Some weak limit laws for the diameter of random point sets in bounded regions |
| author_facet |
Lao, Wei |
| author_variant |
w l wl |
| author_sort |
Lao, Wei |
| 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_auth |
Some weak limit laws for the diameter of random point sets in bounded regions |
| title_new |
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 |
| publisher |
KIT Scientific Publishing |
| publishDate |
2010 |
| physical |
1 electronic resource (V, 139 p. p.) |
| isbn |
1000019800 3-86644-570-9 |
| illustrated |
Not Illustrated |
| work_keys_str_mv |
AT laowei someweaklimitlawsforthediameterofrandompointsetsinboundedregions |
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n |
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(CKB)4920000000101411 (oapen)https://directory.doabooks.org/handle/20.500.12854/59704 (EXLCZ)994920000000101411 |
| carrierType_str_mv |
cr |
| is_hierarchy_title |
Some weak limit laws for the diameter of random point sets in bounded regions |
| _version_ |
1796649081042370562 |