# 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 language English Doctor of Philosophy Tilburg University Einmahl, John, Promotor 8 Sep 2010 Tilburg CentER, Center for Economic Research 9789056682576 Published - 2010

### Fingerprint

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

Research output: ThesisDoctoral ThesisScientific

TY - THES

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AU - Gantner, M.

PY - 2010

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N2 - 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.

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.

M3 - Doctoral Thesis

SN - 9789056682576

T3 - CentER Dissertation Series

PB - CentER, Center for Economic Research

CY - Tilburg

ER -

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