<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">AJOR</journal-id><journal-title-group><journal-title>American Journal of Operations Research</journal-title></journal-title-group><issn pub-type="epub">2160-8830</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ajor.2014.44023</article-id><article-id pub-id-type="publisher-id">AJOR-47705</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>PHYSICS &amp; MATHEMATICS</subject></subj-group></article-categories><title-group><article-title>Relative Performance Evaluation of Competing Crude Oil Prices’ Volatility Forecasting Models: A Slacks-Based Super-Efficiency DEA Model</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Jamal</surname><given-names>Ouenniche</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Bing</surname><given-names>Xu</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kaoru</surname><given-names>Tone</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib></contrib-group><aff id="aff2"><addr-line>School of Management and Languages, Heriot-Watt University, Edinburgh, UK</addr-line></aff><aff id="aff3"><addr-line>National Graduate Institute for Policy Studies, Tokyo, Japan</addr-line></aff><aff id="aff1"><addr-line>Business School, The University of Edinburgh, Edinburgh, UK;
Business School, ESC Rennes, Rennes, France</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>Jamal.Ouenniche@ed.ac.uk(JO)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>09</day><month>07</month><year>2014</year></pub-date><volume>04</volume><issue>04</issue><fpage>235</fpage><lpage>245</lpage><history><date date-type="received"><day>27</day>	<month>May</month>	<year>2014</year></date><date date-type="rev-recd"><day>30</day>	<month>June</month>	<year>2014</year>	</date><date date-type="accepted"><day>7</day>	<month>July</month>	<year>2014</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
	With
the increasing number of quantitative models available to forecast the volatility
of crude oil prices, the assessment of the relative performance of competing
models becomes a critical task. Our survey of the literature revealed that most
studies tend to use several performance criteria to evaluate the performance of
competing forecasting models; however, models are compared to each other using
a single criterion at a time, which often leads to different rankings for
different criteria—A situation where
one cannot make an informed decision as to which model performs best when
taking all criteria into account. In order to overcome this methodological
problem, Xu and Ouenniche [1] proposed a
multidimensional framework based on an input-oriented radial super-efficiency
Data Envelopment Analysis (DEA) model to rank order competing forecasting
models of crude oil prices’ volatility. However, their approach suffers from a
number of issues. In this paper, we overcome such issues by proposing an
alternative framework.
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