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On Locally Uniformly Linearizable High Breakdown Location and Scale Functionals (1998)
| Citations: | 10 - 3 self |
BibTeX
@MISC{Davies98onlocally,
author = {P.L. Davies},
title = {On Locally Uniformly Linearizable High Breakdown Location and Scale Functionals},
year = {1998}
}
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Abstract
this paper and the standard one model situation of robust statistics. They consider a finite number of models or challenges and look for a procedure which performs well at all of them. The hope is that such a procedure will also perform reasonably well for challenges which lie between. For a given sample a likelihood based compromise between the two challenges is made. The use of likelihood means that the method of Morgenthaler and Tukey does not satisfy DP5. In Section 6 we show how it is possible to "coarsen" a large class of distributions by reducing them to a finite sample of m points which themselves satisfy DP5. These points can be used to decide between a finite set of challenges and hence to make the weights of the weighted mean depend on the shape of the sample but in a differentiable manner. 3 Local uniform linearity
