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On new renewal better than used classes of life distributions

Author

Listed:
  • Abouammoh, A. M.
  • Ahmad, R.
  • Khalique, A.

Abstract

Based on the comparison between the stationary renewal survival of a new device with the parent survival of a used one, new classes of life distributions are introduced. These classes are the new renewal better than used, the new renewal better than used in expectation and the harmonic new renewal better than used in expectation. Their corresponding dual classes are also introduced. Their relationships with the existing classes are pointed out. Some closure properties of these classes under mixing and convolution are investigated.

Suggested Citation

  • Abouammoh, A. M. & Ahmad, R. & Khalique, A., 2000. "On new renewal better than used classes of life distributions," Statistics & Probability Letters, Elsevier, vol. 48(2), pages 189-194, June.
    • Handle: RePEc:eee:stapro:v:48:y:2000:i:2:p:189-194
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    References listed on IDEAS

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    1. Subhash C. Kochar & Douglas P. Wiens, 1987. "Partial orderings of life distributions with respect to their aging properties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 823-829, December.
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    Cited by:

    1. Xiaohu Li & Maochao Xu, 2008. "Reversed hazard rate order of equilibrium distributions and a related aging notion," Statistical Papers, Springer, vol. 49(4), pages 749-767, October.
    2. Salehi, E.T. & Badía, F.G. & Asadi, M., 2012. "Preservation properties of a homogeneous Poisson process stopped at an independent random time," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 574-585.
    3. N. Nair & P. Sankaran, 2014. "Modelling lifetimes with bivariate Schur-constant equilibrium distributions from renewal theory," METRON, Springer;Sapienza Università di Roma, vol. 72(3), pages 331-349, October.
    4. Ibrahim Ahmad & A. Mugdadi, 2005. "Bounds of moment generating functions of some life distributions," Statistical Papers, Springer, vol. 46(4), pages 575-585, October.
    5. Bon, Jean-Louis & Illayk, Abbas, 2002. "A note on some new renewal ageing notions," Statistics & Probability Letters, Elsevier, vol. 57(2), pages 151-155, April.
    6. Psarrakos, Georgios, 2009. "A note on convolutions of compound geometric distributions," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1231-1237, May.

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