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A Note on Classes of Lifetime Distributions

Author

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  • Elbatal I.

    (King Saud University, College of Science, Dept. of Stat. and O. R., P.O. Box 2455, Riyadh 11451, Kingdom of Saudi Arabia)

Abstract

Some classes of lifetime distributions based on the failure rate are considered, namely new better than used failure rate (NBUFR), new better than average renewal failure rate (NBARFR) and generalized new better than average renewal failure rate (GNBARFR). Moment inequalities and moment generating functions of these classes under mixture and convolution are studied. In addition, the relationship between the scaled TTT-transform and the NBARFR class is investigated.

Suggested Citation

  • Elbatal I., 2007. "A Note on Classes of Lifetime Distributions," Stochastics and Quality Control, De Gruyter, vol. 22(1), pages 107-116, January.
    • Handle: RePEc:bpj:ecqcon:v:22:y:2007:i:1:p:107-116:n:1
    DOI: 10.1515/EQC.2007.107
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    References listed on IDEAS

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    1. Abouammoh, A. M. & Ahmed, A. N., 1992. "On renewal failure rate classes of life distributions," Statistics & Probability Letters, Elsevier, vol. 14(3), pages 211-217, June.
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