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On conditional spacings with components having proportional hazard rates

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  • Zhengcheng Zhang
  • Lan Wu

Abstract

In this article, we study (normalized) conditional spacings based on two series systems, whose components have proportional hazard rates. To start off, we engage in some stochastic comparisons of the conditional spacings. Subsequently, statistical dependencies and properties pertaining to conditional spacings are derived, and stochastic characteristics of the conditional sample range comprising two series systems are explored.

Suggested Citation

  • Zhengcheng Zhang & Lan Wu, 2026. "On conditional spacings with components having proportional hazard rates," Journal of Risk and Reliability, , vol. 240(1), pages 37-45, February.
    • Handle: RePEc:sae:risrel:v:240:y:2026:i:1:p:37-45
    DOI: 10.1177/1748006X251362521
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    References listed on IDEAS

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    1. Zhang, Zhengcheng & Yang, Luyi & Yang, Yonghong, 2022. "The conditional spacings and their stochastic properties," Statistics & Probability Letters, Elsevier, vol. 186(C).
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    5. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
    6. Kochar, Subhash C., 1999. "On stochastic orderings between distributions and their sample spacings," Statistics & Probability Letters, Elsevier, vol. 42(4), pages 345-352, May.
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