Robust Asymptotic Statistics: Volume I Softcover Repri Edition Contributor(s): Rieder, Helmut (Author) |
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ISBN: 1468406264 ISBN-13: 9781468406269 Publisher: Springer OUR PRICE: $113.99 Product Type: Paperback - Other Formats Published: February 2012 |
Additional Information |
BISAC Categories: - Mathematics | Probability & Statistics - General |
Dewey: 519.54 |
Series: Springer Statistics |
Physical Information: 0.85" H x 6.14" W x 9.21" (1.28 lbs) 390 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |