Multivariate trimmed means based on the Tukey depth

2009 ◽  
Vol 139 (2) ◽  
pp. 366-384 ◽  
Author(s):  
Jean-Claude Massé
Keyword(s):  
1996 ◽  
Vol 38 (2) ◽  
pp. 173-180 ◽  
Author(s):  
Rand R. Wilcox

1988 ◽  
Vol 83 (403) ◽  
pp. 805-810 ◽  
Author(s):  
P. J. De Jongh ◽  
T. de Wet ◽  
A. H. Welsh

2007 ◽  
Vol 4 (2) ◽  
pp. 244-249 ◽  
Author(s):  
A. Hassairi ◽  
O. Regaieg
Keyword(s):  

2011 ◽  
Vol 48 (01) ◽  
pp. 238-257 ◽  
Author(s):  
Ken R. Duffy ◽  
Claudio Macci ◽  
Giovanni Luca Torrisi

We consider the sample paths of the order statistics of independent and identically distributed random variables with common distribution function F. If F is strictly increasing but possibly having discontinuities, we prove that the sample paths of the order statistics satisfy the large deviation principle in the Skorokhod M 1 topology. Sanov's theorem is deduced in the Skorokhod M'1 topology as a corollary to this result. A number of illustrative examples are presented, including applications to the sample paths of trimmed means and Hill plots.


1998 ◽  
Vol 3 (1) ◽  
pp. 123-141 ◽  
Author(s):  
H. J. Keselman ◽  
Lisa M. Lix ◽  
Rhonda K. Kowalchuk

2008 ◽  
Vol 52 (11) ◽  
pp. 4979-4988 ◽  
Author(s):  
J.A. Cuesta-Albertos ◽  
A. Nieto-Reyes
Keyword(s):  

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