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The conditional spacings and their stochastic properties

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  • Zhang, Zhengcheng
  • Yang, Luyi
  • Yang, Yonghong

Abstract

In this paper, the concepts of conditional spacings and normalized conditional ones are introduced when a series system with independent and identically distributed components fails at time t. First the marginal survival function and joint survival function of conditional spacings are obtained. And some stochastic comparisons between different spacings are conducted. Moreover, the case when the component lifetimes are independent and distributed as Exponential is investigated. And some statistical properties of conditional spacings are naturally given. In the end, the dependence for the conditional spacings is investigated.

Suggested Citation

  • Zhang, Zhengcheng & Yang, Luyi & Yang, Yonghong, 2022. "The conditional spacings and their stochastic properties," Statistics & Probability Letters, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:stapro:v:186:y:2022:i:c:s0167715222000591
    DOI: 10.1016/j.spl.2022.109466
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    References listed on IDEAS

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