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Stochastic comparison and monotonicity of inactive record values

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  • Zhao, Peng
  • Balakrishnan, N.

Abstract

In this paper, we study the inactive record values and carry out a stochastic comparison of these quantities from two independent samples. The results established here strengthen those of Amiripour et al. [Amiripour, F., Khaledi, B.-E., Hu, T., Shojaei, R., 2009. Some new results on stochastic comparisons of record values, Communications in Statistics -- Theory and Methods (in press)]. We also describe the behavior of the IFR (DFR) class of life distributions through the stochastic monotonicity of the inactive record values.

Suggested Citation

  • Zhao, Peng & Balakrishnan, N., 2009. "Stochastic comparison and monotonicity of inactive record values," Statistics & Probability Letters, Elsevier, vol. 79(5), pages 566-572, March.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:5:p:566-572
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    References listed on IDEAS

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    1. Khaledi, Baha-Eldin & Shojaei, Roohollah, 2007. "On stochastic orderings between residual record values," Statistics & Probability Letters, Elsevier, vol. 77(13), pages 1467-1472, July.
    2. Baha-Eldin Khaledi & Subhash Kochar, 2001. "Dependence Properties of Multivariate Mixture Distributions and Their Applications," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(3), pages 620-630, September.
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    Cited by:

    1. 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.
    2. Salehi, Ebrahim & Tavangar, Mahdi, 2019. "Stochastic comparisons on conditional residual lifetime and inactivity time of coherent systems with exchangeable components," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 327-337.

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