The average dimension of a multidimensional function for quasi-Monte Carlo estimates of an integral

The average dimension of a multidimensional function for quasi-Monte Carlo estimates of an integral
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积分的拟蒙特卡罗估计的多维函数的平均维数

DOI:
10.1134/s0965542506120050
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发表时间:
2006
影响因子:
0.7
通讯作者:
I. Sobol
I. Sobol
中科院分区:
数学4区
文献类型:
--
作者:
D. Asotsky;E. E. Myshetskaya;I. Sobol

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被引文献

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The effective dimension of a multidimensional function was previously introduced to measure the complexity of the function with respect to the evaluation of an integral by quasi-Monte Carlo methods. For the same goal, the concept of the average dimension is introduced, which, in contrast to the effective dimension, is independent of an arbitrary confidence level.