Redescending M-estimators and Deterministic Annealing, with Applications to Robust Regression and Tail Index Estimation

A new type of redescending M-estimators is constructed, based on data augmentation with an unspecified outlier model. Necessary and sufficient conditions for the convergence of the resulting estimators to the Hubertype skipped mean are derived. By introducing a temperature parameter the concept of d...

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Bibliographic Details
Main Authors: Rudolf Frühwirth, Wolfgang Waltenberger
Format: Article
Language:English
Published: Austrian Statistical Society 2016-04-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/310