Robust Asymptotic Statistics : Volume I
Overview
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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Details
- ISBN-13: 9781468406269
- ISBN-10: 1468406264
- Publisher: Springer
- Publish Date: February 2012
- Dimensions: 9.21 x 6.14 x 0.85 inches
- Shipping Weight: 1.28 pounds
- Page Count: 390
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