• DocumentCode
    111445
  • Title

    Sharp Bounds for Lifetime Variances of Reliability Systems With Exchangeable Components

  • Author

    Miziula, Patryk ; Rychlik, Tomasz

  • Author_Institution
    Fac. of Math. & Comput. Sci., Nicolaus Copernicus Univ., Torun, Poland
  • Volume
    63
  • Issue
    4
  • fYear
    2014
  • fDate
    Dec. 2014
  • Firstpage
    850
  • Lastpage
    857
  • Abstract
    We consider coherent and mixed systems with exchangeable components whose lifetimes have positive and finite variances. We present sharp lower and upper bounds on the variance of the system lifetime, expressed in terms of the system signature and the variance of a single component. The bounds are attained for the power and Pareto distributions of the component lifetimes.
  • Keywords
    Pareto distribution; reliability theory; Pareto distribution; component lifetime; exchangeable components; lifetime variance; power distribution; reliability systems; sharp lower bound; sharp upper bound; Distribution functions; Indexes; Joints; Reliability theory; Upper bound; Vectors; Coherent system; Samaniego signature; exchangeable random variables; mixed system; sharp variance bounds;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.2014.2336413
  • Filename
    6866254
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=111445