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Bayesian analysis of discrete time warranty data

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  • David Stephens
  • Martin Crowder

Abstract

Summary. The analysis of warranty claim data, and their use for prediction, has been a topic of active research in recent years. Field data comprising numbers of units returned under guarantee are examined, covering both situations in which the ages of the failed units are known and in which they are not. The latter case poses particular computational problems for likelihood‐based methods because of the large number of feasible failure patterns that must be included as contributions to the likelihood function. For prediction of future warranty exposure, which is of central concern to the manufacturer, the Bayesian approach is adopted. For this, Markov chain Monte Carlo methodology is developed.

Suggested Citation

  • David Stephens & Martin Crowder, 2004. "Bayesian analysis of discrete time warranty data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 53(1), pages 195-217, January.
    • Handle: RePEc:bla:jorssc:v:53:y:2004:i:1:p:195-217
    DOI: 10.1111/j.1467-9876.2004.00435.x
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    Cited by:

    1. Altun, Mustafa & Comert, Salih Vehbi, 2016. "A change-point based reliability prediction model using field return data," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 175-184.
    2. Utkin, Lev V. & Coolen, Frank P.A. & Gurov, Sergey V., 2015. "Imprecise inference for warranty contract analysis," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 31-39.
    3. Wu, Shaomin & Akbarov, Artur, 2011. "Support vector regression for warranty claim forecasting," European Journal of Operational Research, Elsevier, vol. 213(1), pages 196-204, August.
    4. Gupta, Sanjib Kumar & Chattopadhyay, Gaurangadeb, 2022. "Early detection of reliability related problems from two-dimensional warranty data considering labour code priority index," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    5. Wu, Shaomin & Akbarov, Artur, 2012. "Forecasting warranty claims for recently launched products," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 160-164.

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