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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">JDS</journal-id>
      <journal-title-group>
        <journal-title>Journal of Data Science</journal-title>
      </journal-title-group>
      <issn pub-type="epub">1680-743X</issn>
      <issn pub-type="ppub">1680-743X</issn>
      <publisher>
        <publisher-name>SOSRUC</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">130206</article-id>
      <article-id pub-id-type="doi">10.6339/JDS.201507_13(3).0006</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>The Kummer Beta Normal: A New Useful-Skew Model</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Pescim</surname>
            <given-names>Rodrigo R.</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_000"/>
        </contrib>
        <aff id="j_JDS_aff_000">ESALQ – Universidade de Sao Paulo</aff>
        <contrib contrib-type="author">
          <name>
            <surname>Nadarajah</surname>
            <given-names>Saralees</given-names>
          </name>
          <xref ref-type="aff" rid="j_JDS_aff_001"/>
        </contrib>
        <aff id="j_JDS_aff_001">University of Manchester</aff>
      </contrib-group>
      <volume>13</volume>
      <issue>3</issue>
      <fpage>509</fpage>
      <lpage>532</lpage>
      <permissions>
        <ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/>
      </permissions>
      <abstract>
        <p>The normal distribution is the most popular model in applications to real data. We propose a new extension of this distribution, called the Kummer beta normal distribution, which presents greater flexibility to model scenarios involving skewed data. The new probability density function can be represented as a linear combination of exponentiated normal pdfs. We also propose analytical expressions for some mathematical quantities: Ordinary and incomplete moments, mean deviations and order statistics. The estimation of parameters is approached by the method of maximum likelihood and Bayesian analysis. Likelihood ratio statistics and formal goodnessof-fit tests are used to compare the proposed distribution with some of its sub-models and non-nested models. A real data set is used to illustrate the importance of the proposed model.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>Bayesian analysis</kwd>
        <kwd>Kummer beta generalized distribution</kwd>
        <kwd>Maximum likelihood method</kwd>
        <kwd>Moment</kwd>
        <kwd>Normal distribution</kwd>
        <kwd>Order statistic</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
