摘要翻译:
我们考虑了一类具有任意数目正负分支的有限马尔可夫矩问题。给出了解的存在唯一性判据,并详细刻画了非唯一解族。此外,我们给出了一个构造性算法来数值求解矩问题,并证明了该算法计算出了正确的解。
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英文标题:
《Existence, uniqueness and a constructive solution algorithm for a class
of finite Markov moment problems》
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作者:
Laurent Gosse (CNR BARI), Olof Runborg
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Numerical Analysis 数值分析
分类描述:Numerical algorithms for problems in analysis and algebra, scientific computation
分析和代数问题的数值算法,科学计算
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一级分类:Quantitative Finance 数量金融学
二级分类:Computational Finance 计算金融学
分类描述:Computational methods, including Monte Carlo, PDE, lattice and other numerical methods with applications to financial modeling
计算方法,包括蒙特卡罗,偏微分方程,格子和其他数值方法,并应用于金融建模
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一级分类:Statistics 统计学
二级分类:Applications 应用程序
分类描述:Biology, Education, Epidemiology, Engineering, Environmental Sciences, Medical, Physical Sciences, Quality Control, Social Sciences
生物学,教育学,流行病学,工程学,环境科学,医学,物理科学,质量控制,社会科学
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英文摘要:
We consider a class of finite Markov moment problems with arbitrary number of positive and negative branches. We show criteria for the existence and uniqueness of solutions, and we characterize in detail the non-unique solution families. Moreover, we present a constructive algorithm to solve the moment problems numerically and prove that the algorithm computes the right solution.
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PDF链接:
https://arxiv.org/pdf/0809.3714