中文

$\varphi$-次高斯随机过程小波展开在 $L_p([0,T])$ 中的收敛性

概率论 2013-08-08 v1

摘要

本文提出了关于φ\varphi-次高斯随机过程的小波展开在 Lp([0,T])L_p([0,T]) 中收敛性的新结果。获得了这些展开的收敛速率。讨论了所得结果的具体细节。

关键词

引用

@article{arxiv.1307.1859,
  title  = {Convergence in $L_p([0,T])$ of wavelet expansions of $\varphi$-sub-Gaussian random processes},
  author = {Yuriy Kozachenko and Andriy Olenko and Olga Polosmak},
  journal= {arXiv preprint arXiv:1307.1859},
  year   = {2013}
}

备注

*Will appear in Methodology and Computing in Applied Probability. 15 pages, 2 figures. The final publication is available at link.springer.com. DOI: 10.1007/s11009-013-9346-7