تقرير
Bootstrap for dependent Hilbert space-valued random variables with application to von Mises statistics
| العنوان: | Bootstrap for dependent Hilbert space-valued random variables with application to von Mises statistics |
|---|---|
| المؤلفون: | Dehling, H., Sharipov, O. Sh., Wendler, M. |
| سنة النشر: | 2013 |
| المجموعة: | Mathematics Statistics |
| مصطلحات موضوعية: | Mathematics - Statistics Theory, Mathematics - Probability |
| الوصف: | Statistical methods for functional data are of interest for many applications. In this paper, we prove a central limit theorem for random variables taking their values in a Hilbert space. The random variables are assumed to be weakly dependent in the sense of near epoch dependence, where the underlying process fulfills some mixing conditions. As parametric inference in an infinite dimensional space is difficult, we show that the nonoverlapping block bootstrap is consistent. Furthermore, we show how these results can be used for degenerate von Mises-statistics. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1312.3870 |
| رقم الأكسشن: | edsarx.1312.3870 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |