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Improved goodness-of-fit measures

Mitic, P; (2015) Improved goodness-of-fit measures. Journal of Operational Risk , 10 (1) pp. 77-126. 10.21314/JOP.2015.159. Green open access

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Abstract

New goodness-of-fit measures which are significant improvements on existing measures are described. They use the intuitive geometrical concept of the area enclosed by the curve of a fitted distribution and the profile of the empirical cumulative distribution function.A transformation of this profile simplifies the geometry and provides three new goodness-of-fit tests. The integrity of this transformation is justified by topological arguments. The new tests provide a quantitative justification for qualitative judgements on goodness-of-fit, are independent of population size and provide a workable way to objectively choose a best fit distribution from a group of candidate distributions.

Type: Article
Title: Improved goodness-of-fit measures
Open access status: An open access version is available from UCL Discovery
DOI: 10.21314/JOP.2015.159
Publisher version: https://doi.org/10.21314/JOP.2015.159
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: goodness-of-fit; transformed normal; cumulative distribution; significance level; topology
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10163343
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