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3 results

  • Extreme Dispersions of Semicoherent and Mixed System Lifetimes

  • Part of
  • Patryk Miziuła, Tomasz Rychlik
  • Journal:
    Journal of Applied Probability / Volume 52 / Issue 1 / March 2015
    Published online by Cambridge University Press:
    30 January 2018, pp. 117-128
    Print publication:
    March 2015
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  • We consider semicoherent and mixed systems with exchangeable components. We present sharp lower and upper bounds on various dispersion measures (in particular, variance and median absolute deviation) of the system lifetime, expressed in terms of the system signature and the dispersion of a single component lifetime. We construct joint exchangeable distributions of component lifetimes with two-point marginals which attain the bounds in the limit.

  • ANOTHER SHARP L2 INEQUALITY OF OSTROWSKI TYPE

  • Part of
  • ZHENG LIU
  • Journal:
    The ANZIAM Journal / Volume 50 / Issue 1 / July 2008
    Published online by Cambridge University Press:
    01 July 2008, pp. 129-136
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  • A new sharp L2 inequality of Ostrowski type is established, which provides some other interesting results as special cases. Applications in numerical integration are also given.

  • A SHARP L2 INEQUALITY OF OSTROWSKI TYPE

  • Part of
  • ZHENG LIU
  • Journal:
    The ANZIAM Journal / Volume 49 / Issue 3 / January 2008
    Published online by Cambridge University Press:
    01 January 2008, pp. 423-429
    • Article
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  • A sharp L2 inequality of Ostrowski type is established, which provides a generalization of some previous results and gives some other interesting results as special cases. Applications in numerical integration are also given.