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On generalized mean residual life of record values

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  • Kundu, Chanchal
  • Nanda, Asok K.

Abstract

The mean residual life function plays an important role in reliability theory and other branches of statistics. In this paper, we study some ageing properties of the residual life of , the nth upper k-records, given that , where n[greater-or-equal, slanted]m. Some stochastic comparison results among generalized residual record values in two-sample problems are also established here.

Suggested Citation

  • Kundu, Chanchal & Nanda, Asok K., 2010. "On generalized mean residual life of record values," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 797-806, May.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:9-10:p:797-806
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    References listed on IDEAS

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    1. J. Ahmadi & N. Arghami, 2003. "Nonparametric confidence and tolerance intervals from record values data," Statistical Papers, Springer, vol. 44(4), pages 455-468, October.
    2. Khaledi, Baha-Eldin & Shojaei, Roohollah, 2007. "On stochastic orderings between residual record values," Statistics & Probability Letters, Elsevier, vol. 77(13), pages 1467-1472, July.
    3. Zhao, Peng & Balakrishnan, N., 2009. "Stochastic comparison and monotonicity of inactive record values," Statistics & Probability Letters, Elsevier, vol. 79(5), pages 566-572, March.
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    Cited by:

    1. Wang, Guanjun & Peng, Rui & Xing, Liudong, 2018. "Reliability evaluation of unrepairable k-out-of-n: G systems with phased-mission requirements based on record values," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 191-197.

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