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This chapterConditional Spacings is composed of four parts. The first part is mainly for the conditional spacingsSpacings|( and normalized conditional ones based on a series systemSeries System. In the second part, the case of the (normalized) conditional spacingsConditional Spacings based on unfailed components is investigated based on the fact that an \((n-k+1)\) -out-of-nsystem or a general coherent systemGeneral Coherent System with certain signatureSignature just fails at certain time t. The third part is about the conditional spacings and their properties based on a series systemSeries System|( with n heterogeneous Exponential component lifetimes. In the last part, the generalized conditional spacings and their properties are investigated.

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The Conditional Spacings and Their Properties

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  • 发表日期：

    2025年

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  • Zhengcheng Zhang

摘要

This chapterConditional Spacings is composed of four parts. The first part is mainly for the conditional spacingsSpacings|( and normalized conditional ones based on a series systemSeries System. In the second part, the case of the (normalized) conditional spacingsConditional Spacings based on unfailed components is investigated based on the fact that an \((n-k+1)\) -out-of-nsystem or a general coherent systemGeneral Coherent System with certain signatureSignature just fails at certain time t. The third part is about the conditional spacings and their properties based on a series systemSeries System|( with n heterogeneous Exponential component lifetimes. In the last part, the generalized conditional spacings and their properties are investigated.