共查询到20条相似文献,搜索用时 46 毫秒
1.
2.
3.
《Topology and its Applications》2009,156(2):420-432
4.
5.
6.
7.
8.
9.
We consider a real Gaussian process X with unknown smoothness where the mean-square derivative is supposed to be Hölder continuous in quadratic mean. First, from the discrete observations , we study reconstruction of , , with , a piecewise polynomial interpolation of degree . We show that the mean-square error of interpolation is a decreasing function of r but becomes stable as soon as . Next, from an interpolation-based empirical criterion, we derive an estimator of and prove its strong consistency by giving an exponential inequality for . Finally, we prove the strong convergence of toward with a similar rate as in the case ‘ known’. To cite this article: D. Blanke, C. Vial, C. R. Acad. Sci. Paris, Ser. I 343 (2006). 相似文献
10.
11.
12.
13.
14.
15.
16.
Yoshiyasu Ozeki 《Journal of Number Theory》2013,133(11):3810-3861
17.
18.
19.
20.