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<records>
  <record>
    <language>eng</language>
    <publisher>Science and Education Publishing</publisher>
    <journalTitle>American Journal of Applied Mathematics and Statistics</journalTitle>
    <eissn>2328-7292</eissn>
    <publicationDate>2016-07-11</publicationDate>
    <volume>4</volume>
    <issue>3</issue>
    <startPage>94</startPage>
    <endPage>98</endPage>
    <doi>10.12691/ajams-4-3-5</doi>
    <publisherRecordId>AJAMS2016435</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">Transmuted Laplace Distribution: Properties and Applications</title>
    <authors>
      <author>
        <name>Dina H. Abdel Hady</name>
        <email>dinaabdelhady44@gmail.com</email>
        <affiliationId>1</affiliationId>
      </author>
      <author>
        <name>Rania, M. Shalaby</name>
        <affiliationId>2</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Tanta University</affiliationName>
      <affiliationName affiliationId="2">The Higher Institute of Managerial Science, Culture and Science City, 6th of October</affiliationName>
    </affiliationsList>
    <abstract language="eng">New parameters can be introduced to expand families of distributions for added flexibility or to construct covariate models and this could be done in various ways. In this article, we generalize the Laplace distribution using the quadratic rank transmutation map studied by Shaw et al. (2007) to develop a transmuted Laplace distribution (TLD). We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. To show that the TLD distribution can be a better model than one based on the LD distribution we use a real data set of number of million revolutions before failure for each of the 23 ball bearings in the life tests and The usefulness of the transmuted Laplace distribution for modeling reliability data is illustrated.</abstract>
    <fullTextUrl format="pdf">http://pubs.sciepub.com/ajams/4/3/5/ajams-4-3-5.pdf</fullTextUrl>
    <keywords language="eng">
      <keyword>Laplace distribution</keyword>
      <keyword>maximum likelihood estimation</keyword>
      <keyword>moments</keyword>
      <keyword>order statistics</keyword>
      <keyword>likelihood ratio test</keyword>
    </keywords>
  </record>
</records>