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GLFP 모형하에서의 가속수명시험 데이터 분석

Analyses of Accelerated Life Tests Data from General Limited Failure Population

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초록

This paper proposes a method of estimating the lifetime distribution at use condition for constant stress accelerated life tests when an infant-mortality failure mode as well as wear-out one exists. General limited failure population model is introduced to describe these failure modes. It is assumed that the log lifetime of each failure mode follows a location-scale distribution and a linear relation exists between the location parameter and the stress. An estimation procedure using the expectation and maximization algorithm is proposed. Specific formulas for Weibull distribution are obtained. An illustrative example and the simulation results are given.

Abstract

This paper proposes a method of estimating the lifetime distribution at use condition for constant stress accelerated life tests when an infant-mortality failure mode as well as wear-out one exists. General limited failure population model is introduced to describe these failure modes. It is assumed that the log lifetime of each failure mode follows a location-scale distribution and a linear relation exists between the location parameter and the stress. An estimation procedure using the expectation and maximization algorithm is proposed. Specific formulas for Weibull distribution are obtained. An illustrative example and the simulation results are given.

참고문헌 (16)

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  11. Nelson, W., "Accelerated Testing: Statistical Models, Test Plans, and Data Analyses" (1990), John Wiley & Sons
  12. Nelson, W., "Theory for Optimum Censored Accelerated Life Tests for Normal and Lognormal Distributions", Technome- trics, 18, pp.105~114 (1976)
  13. Nelson, W., "Theory for Optimum Accelerated Censored Life Tests for Weibull and Extreme Value Distributions", Technometrics, 20, pp.171~177 (1978)
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  16. Wu, C., "On the Convergence Property of the EM Algorithm", Annals of Statistics, 11, pp.95~103 (1983)

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