تقرير
Detection of Sparse Mixtures: Higher Criticism and Scan Statistic
| العنوان: | Detection of Sparse Mixtures: Higher Criticism and Scan Statistic |
|---|---|
| المؤلفون: | Arias-Castro, Ery, Ying, Andrew |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics Statistics |
| مصطلحات موضوعية: | Mathematics - Statistics Theory |
| الوصف: | We consider the problem of detecting a sparse mixture as studied by Ingster (1997) and Donoho and Jin (2004). We consider a wide array of base distributions. In particular, we study the situation when the base distribution has polynomial tails, a situation that has not received much attention in the literature. Perhaps surprisingly, we find that in the context of such a power-law distribution, the higher criticism does not achieve the detection boundary. However, the scan statistic does. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/1802.08715Test |
| رقم الانضمام: | edsarx.1802.08715 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |