Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
권호 표지

Estimation of Failure Rate and Acceleration Factor in Accelerated Life Testing under Type-I Censoring

정시중단 가속수명시험에서 고장률과 가속계수의 추정

  • 공명복 (울산대학교 산업정보경영공학부) ;
  • 박일광 (울산대학교 산업정보경영공학부)
  • Published : 2003.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

We consider the estimation of failure rate and acceleration factor under type-I censoring without using acceleration model when testing is conducted in only one highly accelerated condition. Failure times of an item are assumed to be exponentially distributed. It is also assumed that the uncertainty about the acceleration factor, the failure time contraction ratio between accelerated condition and use condition, can be modeled by the uniform or gamma prior distribution of appropriate parameters. We respectively use Bayes and maximum likelihood approaches to estimate acceleration factor and failure rate in the use condition. An example is given to show how the method can be applied.

Keywords

References

  1. Bai, D. S. and Chung, S. W.(1992), Optima1 Design of Partially Accelerated Life Tests for the Exponential Distribution under Type-I Censoring, IEEE Tran. on Rel., 41(3), 400-406 https://doi.org/10.1109/24.159807
  2. DeGroot, M. H. and Goel, P. K.(1979), Bayesian Estimation and Optimal Design in Partially Accelerated Life Testing, Naval Research Logistics Quarterly， 26, 223-235
  3. Epstein, B.(1960), Tests for the Validity of the Assumption that the Underlying Distribution of Life is Exponential. Part 1, Technometrics， 2(1), 83-101
  4. Lawless, J. F.(1982), Statistical Models and Methods for Lifetime Data, 31-44, John Wiely & Sons, Inc., New York
  5. Nelson W.(1974), A Survey of Methods for Planning and Analyzing Accelerated Tests， IEEE Tran. on Elec. Ins., 9(1), 12-18
  6. Pathak, P. K., Singh, A. K., and Zimmer, W. J.(1991), Bayes Estimation of Hazard and Acceleration in Accelerated Testing, IEEE Tran. on Rel., 40(5), 615-621 https://doi.org/10.1109/24.106786
  7. Pathak，P. K. and Zimmer, W. J.(1981), A Bayesian Approach to Accelerated Life Tsting Proc. Ann. Reliability and Maintainability Symp., 371-374
  8. Pathak, P. K., Singh， A., Singh, A. K., and Zimmer, W. J.(1987), A Empirical Bayesian Estimation of Mean Life from an Accelerated Life Test, J. Statistical Planning and Inference, 16, 353-363 https://doi.org/10.1016/0378-3758(87)90088-7
  9. Tobias, P. A. and Trindade, D. C.(1986), Applied Reliability, Chap.7, 2 ed., Van Nostrand Reinhold Co., New York