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      Residual lifetime distribution and its applications

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      Author(s)
      Siddiqui, M. M.
      Çağlar, M.
      Date
      1994
      Source Title
      Microelectronics Reliability
      Print ISSN
      0026-2714
      Electronic ISSN
      1872-941X
      Publisher
      Pergamon Press
      Volume
      34
      Issue
      2
      Pages
      211 - 227
      Language
      English
      Type
      Article
      Item Usage Stats
      128
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      Abstract
      Let T be a continuous positive random variable representing the lifetime of an entity. This entity could be a human being, an animal or a plant, or a component of a mechanical or electrical system. For nonliving objects the lifetime is defined as the total amount of time for which the entity carries out its function satisfactorily. The concept of aging involves the adverse effects of age such as increased probability of failure due to wear. In this paper, we consider certain characteristics of the residual lifetime distribution at age t, such as the mean, median, and variance, as describing aging. Gamma and Weibull families of distributions are studied from this point of view. Explicit asymptotic expressions for the mean, variance and the percentiles of corresponding residual lifetime distributions are found. Finally these families of distributions are fitted to four sets of actual data, two of which are entirely new. The results can be used in discriminating different shape parameters.
      Permalink
      http://hdl.handle.net/11693/48788
      Published Version (Please cite this version)
      https://doi.org/10.1016/0026-2714(94)90104-X
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