论文标题
Hausdorff时刻发生了变化和他们的表现
Hausdorff Moment Transforms and Their Performance
论文作者
论文摘要
已经提出了各种方法来近似截短的Hausdorff力矩问题解决方案。在本文中，我们为近似值的性能建立了一种比较方法。讨论和应用三种生成随机矩序列的方法。同样，某些近似值已被重写为线性变换，并分析了详细的准确性要求。我们的发现表明，近似值的性能在收敛属性，准确性和数值复杂性上显着不同，并且矩序的衰减类型强烈影响准确性要求。
Various methods have been proposed to approximate a solution to the truncated Hausdorff moment problem. In this paper, we establish a method of comparison for the performance of the approximations. Three ways of producing random moment sequences are discussed and applied. Also, some of the approximations have been rewritten as linear transforms, and detailed accuracy requirements are analyzed. Our finding shows that the performance of the approximations differs significantly in their convergence properties, accuracy, and numerical complexity and that the decay type of the moment sequence strongly affects the accuracy requirement.
