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Portnoy, Stephen L. He, Xu-ming 2011-05-07T14:22:24Z 2011-05-07T14:22:24Z 10000-01-01 1989 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. Made available in DSpace on 2011-05-07T14:22:24Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9010877.pdf: 3279250 bytes, checksum: a108f5f4bb944e5b848d3f38f8652a98 (MD5) Previous issue date: 1989 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:05:59Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:31:39-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9010877 (UMI)AAI9010877 http://hdl.handle.net/2142/23662 eng Copyright 1989 He, Xu-ming Statistics Contributions to the theory of statistical breakdown text Statistics Statistics University of Illinois at Urbana-Champaign Dissertation Ph.D.