论文标题

间隔数据拟合参数估计的可变性度量

A variability measure for estimates of parameters in interval data fitting

论文作者

Shary, Sergey P.

论文摘要

本文介绍了在间隔不确定性下数据拟合问题中参数估计值的可变性定量度量的构造。它显示了估计值的可变性和模棱两可的程度,并且对其引入的需求取决于对间隔数据问题的答案的不唯一性。给出了新的可变性度量的证实,讨论了其应用和动机。考虑了几个示例和一系列数值测试,显示了新特征的特征及其使用的细节。

The paper presents a construction of a quantitative measure of variability for parameter estimates in the data fitting problem under interval uncertainty. It shows the degree of variability and ambiguity of the estimate, and the need for its introduction is dictated by non-uniqueness of answers to the problems with interval data. A substantiation of the new variability measure is given, its application and motivations are discussed. Several examples and a series of numerical tests are considered, showing the features of the new characteristic and the specifics of its use.

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