Resource title

Breakdown and Groups II

Resource image

image for OpenScout resource :: Breakdown and Groups II

Resource description

The notion of breakdown point was introduced by Hampel (1968, 1971) and has since played an important role in the theory and practice of robust statistics. In Davies and Gather (2004) it was argued that the success of the concept is connected to the existence of a group of transformations on the sample space and the linking of breakdown and equivariance. For example the highest breakdown point of any translation equivariant functional on the real line is 1/2 whereas without equivariance considerations the highest breakdown point is the trivial upper bound of 1.

Resource author

P. Laurie Davies, Ursula Gather

Resource publisher

Resource publish date

Resource language

eng

Resource content type

text/html

Resource resource URL

http://hdl.handle.net/10419/22572

Resource license

Adapt according to the presented license agreement and reference the original author.