A frailty model for detecting number of faults in a system

Yan Wang, Paul S F Yip, Yu Hayakawa

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume12
Issue number4
Publication statusPublished - 2002 Oct
Externally publishedYes

Fingerprint

Horvitz-Thompson Estimator
Conditional Likelihood
Frailty Model
Fault
Simulation Study
Estimator
Formulation
Estimate
Model
Frailty
Simulation study

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

A frailty model for detecting number of faults in a system. / Wang, Yan; Yip, Paul S F; Hayakawa, Yu.

In: Statistica Sinica, Vol. 12, No. 4, 10.2002, p. 1001-1013.

Research output: Contribution to journalArticle

Wang, Y, Yip, PSF & Hayakawa, Y 2002, 'A frailty model for detecting number of faults in a system', Statistica Sinica, vol. 12, no. 4, pp. 1001-1013.
Wang, Yan ; Yip, Paul S F ; Hayakawa, Yu. / A frailty model for detecting number of faults in a system. In: Statistica Sinica. 2002 ; Vol. 12, No. 4. pp. 1001-1013.
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