arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1007.1363math.SPmath.PR
收藏

Multipoint Schur algorithm, II: generalized moment problems, Gaussian processes and prediction

L. Baratchart, L. Golinskii, S. Kupin

英文摘要:

We use nowdays classical theory of generalized moment problems by Krein-Nudelman [1977] to define a special class of stochastic Gaussian processes. The class contains, of course, stationary Gaussian processes. We obtain a spectral representation for the processes from this class and we solve the corresponding prediction problem. The orthogonal rational functions on the unit circle lead to a class of Gaussian processes providing an example for the above construction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑