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<records>
  <record>
    <language>eng</language>
    <publisher>Science and Education Publishing</publisher>
    <journalTitle>International Journal of Business and Risk Management</journalTitle>
    <publicationDate>2025-11-04</publicationDate>
    <volume>6</volume>
    <issue>1</issue>
    <startPage>11</startPage>
    <endPage>18</endPage>
    <doi>10.12691/ijbrm-6-1-1</doi>
    <publisherRecordId>IJBRM2025611</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">Parameter Estimation and Bayesian Prediction in the Log-logistic Distribution under Type-II Censored Data</title>
    <authors>
      <author>
        <name>Wassim Abou Ghaida</name>
        <email>wassim.aboughaida@udst.edu.qa</email>
        <affiliationId>1</affiliationId>
      </author>
      <author>
        <name>Ayman Baklizi</name>
        <affiliationId>2</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Foundation Program Unit, University of Doha for Science and Technology, Doha, Qatar</affiliationName>
      <affiliationName affiliationId="2">Department of Statistics, Yarmouk University, Irbid, Jordan</affiliationName>
    </affiliationsList>
    <abstract language="eng">We consider Bayesian inference and point prediction in log-logistic distribution based on type-II censored data. We assume that the scale and shape parameters have independent gamma priors. The Bayes estimators cannot be obtained in closed form; therefore, we use Metropolis Hasting algorithm to approximate the Bayes estimates of the unknown scale and shape parameters. We compare the performance of the Bayes estimator with the Maximum Likelihood estimators. In addition, we obtained the Bayesian credibility intervals and compared them with the Wald intervals. Moreover, we derived Bayesian point and interval predictors for future observation and investigated their performance using simulation techniques. And finally, we analysed real data set for illustration purposes.</abstract>
    <fullTextUrl format="pdf">https://pubs.sciepub.com/ijbrm/6/1/1/ijbrm-6-1-1.pdf</fullTextUrl>
    <keywords language="eng">
      <keyword>Bayes estimates</keyword>
      <keyword>Maximum Likelihood estimators</keyword>
      <keyword>Metropolis Hasting algorithm</keyword>
      <keyword>Predictive density</keyword>
      <keyword>Bayesian prediction</keyword>
      <keyword>Prediction interval</keyword>
    </keywords>
  </record>
</records>