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        <full_title>WSEAS TRANSACTIONS ON MATHEMATICS</full_title>
        <issn media_type="print">1109-2769</issn>
        <issn media_type="electronic">2224-2880</issn>
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      <journal_article>
        <titles>
          <title>Confidence Intervals for the Percentile of the Zero-Inflated Rayleigh Distribution with an Application to Car Accident Mortality Data</title>
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        <contributors>
          <person_name sequence="first" contributor_role="author">
            <given_name>Nerisa</given_name>
            <surname>Thornsri</surname>
            <affiliations>
              <institution>
                <institution_name>Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, THAILAND</institution_name>
              </institution>
            </affiliations>
          </person_name>
          <person_name sequence="additional" contributor_role="author">
            <given_name>Sa-Aat</given_name>
            <surname>Niwitpong</surname>
            <affiliations>
              <institution>
                <institution_name>Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, THAILAND</institution_name>
              </institution>
            </affiliations>
          </person_name>
          <person_name sequence="additional" contributor_role="author">
            <given_name>Suparat</given_name>
            <surname>Niwitpong</surname>
            <affiliations>
              <institution>
                <institution_name>Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, THAILAND</institution_name>
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        <jats:abstract xml:lang="en">
          <jats:p>The zero-inflated Rayleigh distribution combines zero values and a standard Rayleigh distribution that represents positive values. Percentiles are widely used tools for measuring data, particularly in skewed continuous datasets. This study aims to construct confidence intervals (CIs) for the percentile of the zero-inflated Rayleigh distribution. The proposed approaches include the generalized confidence interval (GCI), normal approximation (NA), and the percentile bootstrap confidence interval (PBCI). The zero-inflation probability is estimated using the variance-stabilizing transformation (VST), Wilson's Score, and Hannig’s methods. Their performances were evaluated using Monte Carlo simulations in R programming, comparing coverage probabilities (CPs) and average lengths (ALs). The results indicate that the GCI based on the VST outperformed the other methods. Additionally, the proposed CIs were applied to car accident mortality data in central Thailand to evaluate their practical efficacy.</jats:p>
        </jats:abstract>
        <publication_date media_type="print">
          <month>05</month>
          <day>12</day>
          <year>2026</year>
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        <publication_date media_type="online">
          <month>05</month>
          <day>12</day>
          <year>2026</year>
        </publication_date>
        <pages>
          <first_page>102</first_page>
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          <item_number item_number_type="article_number">11</item_number>
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          <doi>10.37394/23206.2026.25.11</doi>
          <resource>https://wseas.com/journals/mathematics/2026/a225106-2203.pdf</resource>
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