Universal asymptotic normality for conditionally trimmed sums期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Universal asymptotic normality for conditionally trimmed sums

Affiliation:	1. Fraunhofer Institute for Production Technology IPT, Steinbachstr. 17, 52074 Aachen, Germany;2. Universiteit Maastricht, Minderbroedersberg 4-6, 6200 MD, Maastricht, Netherlands;3. STEMCELL Technologies UK Ltd., Building 7100 Cambridge Research Park B, CB25 9TL, Cambridge, United Kingdom;4. Poietis, 27 Allée Charles Darwin, 33600 Pessac, France;5. Prometheus Division of Skeletal Tissue Engineering, KU Leuven, O&N1, Herestraat 49, PB 813, 3000 Leuven, Belgium;6. Skeletal Biology and Engineering Research, KU Leuven, ON1 Herestraat 49, PB 813, 3000 Leuven, Belgium;7. Laboratory for Machine Tools and Production Engineering (WZL), RWTH Aachen University, Campus-Boulevard 30, 52074 Aachen, Germany;1. Fraunhofer Institute for Surface Engineering and Thin Films IST, Bienroder Weg 54E, 38108 Braunschweig;2. TU Braunschweig Institute for machine tools and production technology IWF, Langer Kamp 19b, 38106 Braunschweig;1. Dept. Of Industrial Engineering, University of Padova, Via Venezia 1, 35131, Padova, Italy;2. RWTH Aachen University, Templergraben 55, 52056, Aachen, Germany

Abstract:	The conditionally trimmed sums formed from an arbitrary i.i.d. sample are shown to satisfy both a probabilistic and empirical central limit theorem with a normal limit law. The specific method of trimming attempts to retain as many summands as possible and deletes only terms of sufficient magnitude. The behavior of the deleted terms is also studied for random variables which generate affinely stochastically compact partial sums.

Keywords:
本文献已被 ScienceDirect 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏