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On the stability of Bootstrap estimators

Title data

Christmann, Andreas ; Salibián-Barrera, Matías ; van Aelst, Stefan:
On the stability of Bootstrap estimators.
Cornell University Library, arXiv : Cornell University Library , 2011 . - 12 p.

Official URL: Volltext

Abstract in another language

It is shown that bootstrap approximations of an estimator
which is based on a continuous operator from the set of Borel probability measures defined on a compact metric space into a complete separable metric space is stable in the sense of qualitative robustness. Support vector machines based on shifted loss functions are treated as
special cases.

Further data

Item Type: Preprint, postprint, working paper, discussion paper
Keywords: bootstrap; statistical machine learning; stability; support vector machine; robustness
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics VII - Stochastics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics VII - Stochastics > Chair Mathematics VII - Stochastics - Univ.-Prof. Dr. Andreas Christmann
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
300 Social sciences > 310 Statistics
500 Science > 510 Mathematics
Date Deposited: 19 Oct 2015 06:29
Last Modified: 21 Mar 2019 08:52
URI: https://eref.uni-bayreuth.de/id/eprint/20517