Some nonparametric diagnostic statistical procedures and their asymptotic behavior

M. Gantner

Research output: ThesisDoctoral ThesisScientific

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Abstract

In this thesis some new, nonparametric methods are introduced to explore uni- or bivariate data. First, we introduce the "shorth plot", a graphical method to depict the main features of one-dimensional probability distributions. Second, we define the "Half-Half plot", a useful tool for analyzing regression data. Furthermore, a test for spherical symmetry in an empirical likelihood framework is presented. For all methods the asymptotic behavior is derived. The good performance of the methods is demonstrated through simulated and real data examples.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Tilburg University
Supervisors/Advisors
  • Einmahl, John, Promotor
Award date8 Sep 2010
Place of PublicationTilburg
Publisher
Print ISBNs9789056682576
Publication statusPublished - 2010

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Diagnostics
Asymptotic Behavior
Spherical Symmetry
Graphical Methods
Empirical Likelihood
Nonparametric Methods
Univariate
Probability Distribution
Regression
Framework

Cite this

Gantner, M. (2010). Some nonparametric diagnostic statistical procedures and their asymptotic behavior. Tilburg: CentER, Center for Economic Research.
Gantner, M.. / Some nonparametric diagnostic statistical procedures and their asymptotic behavior. Tilburg : CentER, Center for Economic Research, 2010. 113 p.
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Gantner, M 2010, 'Some nonparametric diagnostic statistical procedures and their asymptotic behavior', Doctor of Philosophy, Tilburg University, Tilburg.

Some nonparametric diagnostic statistical procedures and their asymptotic behavior. / Gantner, M.

Tilburg : CentER, Center for Economic Research, 2010. 113 p.

Research output: ThesisDoctoral ThesisScientific

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AB - In this thesis some new, nonparametric methods are introduced to explore uni- or bivariate data. First, we introduce the "shorth plot", a graphical method to depict the main features of one-dimensional probability distributions. Second, we define the "Half-Half plot", a useful tool for analyzing regression data. Furthermore, a test for spherical symmetry in an empirical likelihood framework is presented. For all methods the asymptotic behavior is derived. The good performance of the methods is demonstrated through simulated and real data examples.

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Gantner M. Some nonparametric diagnostic statistical procedures and their asymptotic behavior. Tilburg: CentER, Center for Economic Research, 2010. 113 p. (CentER Dissertation Series).