Robust Asymptotic Statistics : Volume I, PDF eBook

Robust Asymptotic Statistics : Volume I PDF

Part of the Springer Series in Statistics series

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1 To the king, my lord, from your servant Balasi : 2 ...

The king should have a look. Maybe the scribe who reads to the king did not understand . . . . shall I personally show, with this tablet that I am sending to the king, my lord, how the omen was written. 3 Really, he who has not followed the text with his finger cannot possibly understand it.

This book is about optimally robust functionals and their unbiased esti- mators and tests.

Functionals extend the parameter of the assumed ideal center model to neighborhoods of this model that contain the actual distri- bution.

The two principal questions are (F): Which functional to choose? and (P): Which statistical procedure to use for the selected functional?

Using a local asymptotic framework, we deal with both problems by linking up nonparametric statistical optimality with infinitesimal robust- ness criteria.

Thus, seemingly separate developments in robust statistics are presented in a unifying way.

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