A frailty model for detecting number of faults in a system

Yan Wang*, Paul S.F. Yip, Y. Hayakawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


A frailty model for failure data is proposed to estimate the total number of faults in a system. The Littlewood model and Jelinski-Moranda are the two particular cases of the proposed formulation. The two-stage estimating procedure, a conditional likelihood and a Horvitz-Thompson estimator, is found to be efficient. Simulation studies are given to assess the performance of the estimator. Two examples are also presented.

Original languageEnglish
Pages (from-to)1001-1013
Number of pages13
JournalStatistica Sinica
Issue number4
Publication statusPublished - 2002 Oct 1
Externally publishedYes


  • Capture-recapture
  • Conditional likelihood
  • Fault detection
  • Jelinski-Moranda
  • Littlewood
  • Removal experiment

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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