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      Chapter

      Parameter estimation for mixed WEIBULL models
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      Chapter

      Parameter estimation for mixed WEIBULL models

      DOI link for Parameter estimation for mixed WEIBULL models

      Parameter estimation for mixed WEIBULL models book

      Parameter estimation for mixed WEIBULL models

      DOI link for Parameter estimation for mixed WEIBULL models

      Parameter estimation for mixed WEIBULL models book

      ByHorst Rinne
      BookThe Weibull Distribution

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      Edition 1st Edition
      First Published 2008
      Imprint Chapman and Hall/CRC
      Pages 14
      eBook ISBN 9780429142574
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      ABSTRACT

      Finite mixture distributions1 have been widely used in nearly all fields of applied statis-

      tical science to model heterogeneous populations. Such a population is a composition of

      m (m ≥ 2) different subpopulations. When dealing with lifetime distributions the reason for the existence of several subpopulations is that a unit can have more than one failure

      mode. For example, if some units in a batch are freaks (e.g., have gross defects due to the

      material processed or to improper manufacturing), then such units will have short lifetimes

      or will fail at lower stress levels. The remaining units will have longer lifetimes and will

      endure higher stress. In this case, the DF of the time to failure can have a bimodal or mul-

      timodal shape.2 Consequently, the finite mixed WEIBULL distribution is a good candidate

      to represent these times to failure.

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