<?xml version="1.0" encoding="UTF-8"?>
<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-1480</article-id>
      <title-group>
        <article-title>New goodness of FIT test for Lindley distribution under cumulative entropy</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Hassan</surname>
            <given-names>Marwa KH.</given-names>
          </name>
          <aff>Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, 11566, Egypt</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>3</issue>
      <fpage>255</fpage>
      <lpage>267</lpage>
      <pub-date date-type="pub">
        <day>06</day>
        <month>10</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>The Lindley distribution is a significant statistical distribution due to its superior statistical and mathematical properties compared to the exponential distribution. Consequently, it is utilized in various fields. This paper aims to examine different goodness-of-FIT tests for the Lindley distribution using cumulative entropy. The classical estimation method is employed to estimate the distribution parameters. A Monte Carlo simulation study is conducted to analyze the power of the tests across different distributions and sample sizes. To facilitate this comparison, we utilized several established goodness-of-fit tests based on empirical distribution. Finally, a numerical example is present to demonstrate the validity of our test. </p>
      </abstract>
      <kwd-group>
        <kwd>Lindley distribution (LD)</kwd>
        <kwd>Cumulative residual entropy (CRE)</kwd>
        <kwd>Goodness of fit test (GFT)</kwd>
        <kwd>Power test</kwd>
        <kwd>Maximum likelihood estimation method (MLE)</kwd>
        <kwd>Monte carlo simulation study (MC)</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>
