• شماره ركورد كنفرانس
    5191
  • عنوان مقاله

    Estimation of Reliability in a Random Series System Under ExponentialDistribution

  • پديدآورندگان

    Basiri Elham Department of Mathematics, Kosar University of Bojnord, Bojnord, Iran , Basirat Maryam Department of Mathematics and Statistics, Mashhad Branch, Islamic Azad University, Mashhad, Iran , Arafeh Reyhaneh Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran

  • تعداد صفحه
    5
  • كليدواژه
    Reliability , Maximum likelihood estimation , Series system.
  • سال انتشار
    1401
  • عنوان كنفرانس
    شانزدهمين كنفرانس آمار ايران
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    In this paper, the problem of estimating the reliability coefficient R = P(X Y ) in a series system with a random number of components is studied, when the life distribution of each component follows an exponential distribution and the number of components follows a geometric distribution. Then, the point estimation of R, based on maximum likelihood method is developed. The performance of the results is studied through a simulation study.
  • كشور
    ايران