On the calculation of higher dimensional integration with a complex connected curved polyhedron domain by Monte Carlo methods(复连通曲面体高维积分的Monte Carlo法)
本文讨论了用Monte Carlo法求积分区域为复连通曲而体的高维积分，即用Monte Carlo法估计下面形式的高维积分：其中n为积分维数，Gj⊂G（j= 1，2，…，s），分别根据G体积已知，Gj （j = 1，2，…，s）体积未知和G，Gj(j =1, 2, …, S)体积都未知情形得出估计法、收敛性定理和具体算法，另外，也对求复连通曲而体的重心问题进行分析，得出估计法和收敛性定理....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2001-01-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2001.28.1.1-6 |
| _version_ | 1797236514100346880 |
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| author | WUQing-biao(吴庆标) |
| author_facet | WUQing-biao(吴庆标) |
| author_sort | WUQing-biao(吴庆标) |
| collection | DOAJ |
| description | 本文讨论了用Monte Carlo法求积分区域为复连通曲而体的高维积分，即用Monte Carlo法估计下面形式的高维积分：其中n为积分维数，Gj⊂G（j= 1，2，…，s），分别根据G体积已知，Gj （j = 1，2，…，s）体积未知和G，Gj(j =1, 2, …, S)体积都未知情形得出估计法、收敛性定理和具体算法，另外，也对求复连通曲而体的重心问题进行分析，得出估计法和收敛性定理. |
| first_indexed | 2024-04-24T17:05:03Z |
| format | Article |
| id | doaj.art-bc658cc2ad24490799a947d19fa1a46e |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:05:03Z |
| publishDate | 2001-01-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-bc658cc2ad24490799a947d19fa1a46e2024-03-29T01:58:16ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972001-01-0128116zjup/1008-9497.2001.28.1.1-6On the calculation of higher dimensional integration with a complex connected curved polyhedron domain by Monte Carlo methods(复连通曲面体高维积分的Monte Carlo法)WUQing-biao(吴庆标)0Department of Mathematics, Zhejiang University, Hangzhou 310028, China(浙江大学数学系，浙江 杭州 310028)本文讨论了用Monte Carlo法求积分区域为复连通曲而体的高维积分，即用Monte Carlo法估计下面形式的高维积分：其中n为积分维数，Gj⊂G（j= 1，2，…，s），分别根据G体积已知，Gj （j = 1，2，…，s）体积未知和G，Gj(j =1, 2, …, S)体积都未知情形得出估计法、收敛性定理和具体算法，另外，也对求复连通曲而体的重心问题进行分析，得出估计法和收敛性定理.https://doi.org/zjup/1008-9497.2001.28.1.1-6monte carlo法高维积分随机变量无偏估计期望 |
| spellingShingle | WUQing-biao(吴庆标) On the calculation of higher dimensional integration with a complex connected curved polyhedron domain by Monte Carlo methods(复连通曲面体高维积分的Monte Carlo法) Zhejiang Daxue xuebao. Lixue ban monte carlo法 高维积分 随机变量 无偏估计 期望 |
| title | On the calculation of higher dimensional integration with a complex connected curved polyhedron domain by Monte Carlo methods(复连通曲面体高维积分的Monte Carlo法) |
| title_full | On the calculation of higher dimensional integration with a complex connected curved polyhedron domain by Monte Carlo methods(复连通曲面体高维积分的Monte Carlo法) |
| title_fullStr | On the calculation of higher dimensional integration with a complex connected curved polyhedron domain by Monte Carlo methods(复连通曲面体高维积分的Monte Carlo法) |
| title_full_unstemmed | On the calculation of higher dimensional integration with a complex connected curved polyhedron domain by Monte Carlo methods(复连通曲面体高维积分的Monte Carlo法) |
| title_short | On the calculation of higher dimensional integration with a complex connected curved polyhedron domain by Monte Carlo methods(复连通曲面体高维积分的Monte Carlo法) |
| title_sort | on the calculation of higher dimensional integration with a complex connected curved polyhedron domain by monte carlo methods 复连通曲面体高维积分的monte carlo法 |
| topic | monte carlo法 高维积分 随机变量 无偏估计 期望 |
| url | https://doi.org/zjup/1008-9497.2001.28.1.1-6 |
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