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Conditions for the coincidence of the TFR, TRV and CE models

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Abstract

Bhattacharyya and Soejoeti (1989) put forward the tampered failure rate model (TFR Model) for step-stress Accelerated Life Tests(ALT). This paper studies the conditions for the coincidence of the TRV, TFR and CE models, gives the definitions of the coincidence, offers a proof of the necessary and sufficient condition for the coincidence of the TRV and TFR models in [1], and points out a mistake that appeared in the counterexample provided in [3].

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References

  1. Bhattacharyya GK, Soejoeti Z (1989) A Tampered Failure Rate Model for Step-Stress Accelerated Life Test. Commun. Statist-Theory Meth.18(5), 1627–1643

    Article  MathSciNet  Google Scholar 

  2. Cheng P, Cheng X, Cheng G, Wu C (1985) Estimations Of Parameters. Publishing House Of Shanghai Science and technology, Shanghai

    Google Scholar 

  3. DeGroot MH, Goel PK (1979) Bayesian estimation and optimal Designs in partially accelerated life testing. Naval Research logistics Quarterly,26, 223–235

    Article  MATH  MathSciNet  Google Scholar 

  4. Fei H, Xun X (1996) Statistical Analysis for Progressive Stress Accelerated Life Testing in the Exponential Case. Proceedings of the Third International

  5. Lin Z, Fei H (1987) Statistical Inference from Progressive Stress Accelerated Life Tests. Proceedings of China-Japan Reliability Symposium, Shanghai, China, 229–236

  6. Madi MT (1993) Multiple Step-Stress Accelerated Life Test: The Tampered Failure Rate Model. Commun. Statist-Theory Meth.22(9), 2631–2639

    MATH  MathSciNet  Google Scholar 

  7. Nelson, W (1980) Accelerated life testing step-stress models and data analysis. IEEE Trans. on Reliability,29, 103–108

    Article  MATH  Google Scholar 

  8. Nelson, W (1990) Accelerated Testing. John Wiley & Sons, New York

    Google Scholar 

  9. Rao, BR (1992) Equivalence of the Tampered Random Variable and the Tampered Failure Rate Models in Accelerated Life Testing for a Class of Life Distributions Having the ‘Setting the Clock Back to Zero Property’. Commun. Statist.-Theory Meth.21(3), 647–664

    Article  MATH  Google Scholar 

  10. Seiji Nabeya (1993) Coincidence of Two Failure Rate Models. Commun. Statist-Theory Meth.22(3), 781–785.

    Article  MATH  MathSciNet  Google Scholar 

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Wang, R., Fei, H. Conditions for the coincidence of the TFR, TRV and CE models. Statistical Papers 45, 393–412 (2004). https://doi.org/10.1007/BF02777579

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  • DOI: https://doi.org/10.1007/BF02777579

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