A Gibbs-sampler approach to estimate the number of faults in a system using capture-recapture sampling

Yu Hayakawa; Paul S.F. Yip

doi:10.1109/24.922486

A Gibbs-sampler approach to estimate the number of faults in a system using capture-recapture sampling

Yu Hayakawa^*, Paul S.F. Yip

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A new recapture debugging model is suggested to estimate the number of faults in a system, ν, and the failure intensity of each fault, φ. The Gibbs sampler and the Metropolis algorithm are used in this inference procedure. A numerical illustration suggests a notable improvement on the estimation of ν and φ compared with that of a removal debugging model.

Original language	English
Pages (from-to)	342-350
Number of pages	9
Journal	IEEE Transactions on Reliability
Volume	49
Issue number	4
DOIs	https://doi.org/10.1109/24.922486
Publication status	Published - 2000 Dec
Externally published	Yes

Keywords

Capture-recapture sampling
Credible interval
Gibbs sampler
Metropolis algorithm

ASJC Scopus subject areas

Safety, Risk, Reliability and Quality
Electrical and Electronic Engineering

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10.1109/24.922486

Cite this

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abstract = "A new recapture debugging model is suggested to estimate the number of faults in a system, ν, and the failure intensity of each fault, φ. The Gibbs sampler and the Metropolis algorithm are used in this inference procedure. A numerical illustration suggests a notable improvement on the estimation of ν and φ compared with that of a removal debugging model.",

keywords = "Capture-recapture sampling, Credible interval, Gibbs sampler, Metropolis algorithm",

author = "Yu Hayakawa and Yip, {Paul S.F.}",

note = "Funding Information: Manuscript received: May 30, 1998; revised: March 24, 1999, January 18, 2000, February 10, 2000. This work is supported by the Research Grant Council of the Hong Kong Special Administrative Government. Y. Hayakawa is with the School of Mathematical and Computing Sciences, Victoria University of Wellington, Wellington, New Zealand (e-mail: yu.hayakawa@vuw.ac.nz). P. S. F. Yip is with the Department of Statistics and Actuarial Science, The University of Hong Kong, Hong Kong (e-mail: sfpyip@hku.hk). Publisher Item Identifier S 0018-9529(00)11780-4.",

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KW - Capture-recapture sampling

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KW - Metropolis algorithm

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A Gibbs-sampler approach to estimate the number of faults in a system using capture-recapture sampling

Abstract

Keywords

ASJC Scopus subject areas

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