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On renewal failure rate classes of life distributions

Author

Listed:
  • Abouammoh, A. M.
  • Ahmed, A. N.

Abstract

Comparisons between the failure rate of a new unit with that of the residual life of a used unit are used to introduce new classes of life distributions. These are the new better (worse) than used renewal failure rate and the new better (worse) than average used renewal in failure rate. Their relationship with the existing classes are established and closure properties of them under mixture and convolution are studied. Some test statistics are proposed for testing exponentiality versus the two classes of renewal failure rate alternatives.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:14:y:1992:i:3:p:211-217
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    Citations

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    Cited by:

    1. Mahmoud M. A. W. & Alim N. A. Abdul, 2006. "A Goodness of Fit Approach to NBURFR and NBARFR Classes," Stochastics and Quality Control, De Gruyter, vol. 21(1), pages 59-75, January.
    2. Elbatal I., 2007. "A Note on Classes of Lifetime Distributions," Stochastics and Quality Control, De Gruyter, vol. 22(1), pages 107-116, January.
    3. Bruno Bassan & Yosef Rinott & Yehuda Vardi, 2002. "On stochastic comparisons of excess times," Discussion Paper Series dp302, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.

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