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Goodness of fit tests via exponential series density estimation

Marsh, P. (2007) Goodness of fit tests via exponential series density estimation. Computational Statistics & Data Analysis, 51 (5). pp. 2428-2441. ISSN 0167-9473

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The properties of a new nonparametric goodness of fit test are explored. It is based on a likelihood ratio test, applied via a consistent series density estimator in the exponential family. The focus is on its computational and numerical properties. Specifically it is found that the choice of approximating basis is not crucial and that the choice of model dimension, through data-driven selection criteria, yields a feasible, parsimonious procedure. Numerical experiments show that the new tests have significantly more power than established tests, whether based upon the empirical distribution function, or alternate density estimators.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Economics and Related Studies (York)
Depositing User: York RAE Import
Date Deposited: 03 Jul 2009 14:47
Last Modified: 03 Jul 2009 14:47
Published Version: http://dx.doi.org/10.1016/j.csda.2006.08.021
Status: Published
Publisher: Elsevier
Identification Number: 10.1016/j.csda.2006.08.021
URI: http://eprints.whiterose.ac.uk/id/eprint/5905

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