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<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-statistics-and-management-systems</journal-id>
      <journal-title-group>
        <journal-title> Journal of Statistics and Management Systems</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0014</issn>
      <issn publication-format="print">0972-0510</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JSMS-981</article-id>
      <title-group>
        <article-title>A reduced-bias weighted least squares estimation of the extreme value index</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Ocran</surname>
            <given-names>By E.</given-names>
          </name>
          <aff>Department of Statistics and Actuarial Science, University of Ghana, Legon Accra, Box LG 115, Ghana</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Minkah</surname>
            <given-names>R.</given-names>
          </name>
          <aff>Department of Statistics and Actuarial Science, University of Ghana, Legon Accra, Box LG 115, Ghana</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Doku-Amponsah</surname>
            <given-names>Kwabena</given-names>
          </name>
          <aff>Department of Statistics and Actuarial Science, University of Ghana, Legon Accra, Box LG 115, Ghana</aff>
        </contrib>
      </contrib-group>
      <volume>27</volume>
      <issue>8</issue>
      <fpage>1499</fpage>
      <lpage>1523</lpage>
      <pub-date date-type="pub">
        <day>18</day>
        <month>12</month>
        <year>2024</year>
      </pub-date>
      <abstract>
        <p>In this paper, we propose a reduced-bias estimator of the EVI for Pareto-type tails (heavy-tailed) distributions. This is derived using the weighted least squares method. It is shown that the estimator is asymptotically unbiased, asymptotically consistent and asymptotically normal under the second-order conditions on the underlying distribution of the data. The finite sample properties of the proposed estimator are studied through a simulation study. The results show that it is competitive to the existing estimators of the extreme value index in terms of bias and Mean Square Error. In addition, it yields estimates of g &gt; 0  that are less sensitive to the number of top-order statistics, and hence, it alleviate the problem of selecting an optimal tail fraction to some extent. The proposed estimator is further illustrated using practical datasets from pedochemical and insurance.</p>
      </abstract>
      <kwd-group>
        <kwd>Extreme value theory</kwd>
        <kwd>Extreme value index</kwd>
        <kwd>Weighted least squares</kwd>
        <kwd>Large deviations</kwd>
        <kwd>Weak law of large numbers</kwd>
        <kwd>Limit theorems</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
