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Title:Contributions to the theory of statistical breakdown
Author(s):He, Xu-ming
Doctoral Committee Chair(s):Portnoy, Stephen L.
Department / Program:Statistics
Discipline:Statistics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Statistics
Abstract:The theory of statistical breakdown is studied from two different angles. Firstly, the finite sample breakdown points of estimators are found to be inherently related to their tail performances. This connection provides persuasive new evidence for the importance of the breakdown point of estimators in the assessment of quantitative robustness. Secondly, breakdown robustness for statistical tests is studied via the power and level breakdown functions for the test functionals. This analysis clarifies and unifies various robust aspects in the context of hypotheses testing, and provides more informative robust measures for and new insights into statistical tests. Applications to location-scale problems, the one-way layout and the linear regression model are studied. Motivations and implications of these analyses are discussed.
Issue Date:1989
Type:Text
Language:English
URI:http://hdl.handle.net/2142/23662
Rights Information:Copyright 1989 He, Xu-ming
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9010877
OCLC Identifier:(UMI)AAI9010877


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