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Preservation properties of the moment generating function ordering of residual lives

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Abstract

The purpose of this note is to study some preservation properties of the moment generating function ordering of residual lives (mg-rl) under the reliability operations of mixture and convolution. Some examples of interest in reliability theory are also presented.

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References

  • Ahmad IA, Kayid M (2004) Some results about NBU mg class of life distributions. Int J Reliab Appl 5: 155–162

    Google Scholar 

  • Barlow R, Proschan F (1981) Statistical theory of reliability and life testing. To Begin with, Silver Spring, MD

  • Karlin S (1968) Total positivity, vol I. Stanford University Press, Stanford

    Google Scholar 

  • Klar B, Müller A (2003) Characterization of classes of lifetime distributions generalizing the NBUE class. J Appl Probab 40: 20–32

    Article  MathSciNet  MATH  Google Scholar 

  • Li X (2004) Some properties of aging notions based upon the moment generating function order. J Appl Probab 41: 927–934

    Article  MathSciNet  MATH  Google Scholar 

  • Shaked M, Shanthikumar JG (1994) Stochastic orders and their applications. Academic Press, New York

    MATH  Google Scholar 

  • Wang W, Ma Y (2009) Stochastic orders and aging notions based upon the moment generating function order: theory. J Korean Stat Soc 38: 87–94

    Article  Google Scholar 

  • Zhang S, Li X (2003) Preservation property of NBU mg under shock models. Int J Reliab Appl 4: 71–77

    Google Scholar 

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Correspondence to M. Kayid.

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Kayid, M. Preservation properties of the moment generating function ordering of residual lives. Stat Papers 52, 523–529 (2011). https://doi.org/10.1007/s00362-009-0266-0

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  • DOI: https://doi.org/10.1007/s00362-009-0266-0

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