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2011•Advanced materials researchOpen access

Maximum-Likelihood Estimation of the Parameters with Constraints in Step-Stress Accelerated Life Tests

Yu Hong Xing, Rui Yuan Liu

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Abstract

This paper investigates the maximum likelihood estimation of the average lifespan of products with the constraints, and the estimation of the average lifespan at stress level, which follows the exponential distribution, is derived by transforming the time-censoring step-stress accelerated life test data into the corresponding constant-stress accelerated life test data. The proposed method can overcome the shortcoming of information lose.

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What this paper is about

This paper investigates the maximum likelihood estimation of the average lifespan of products with the constraints, and the estimation of the average lifespan at stress level, which follows the exponential distribution, is derived by transforming the time-censoring step-stress accelerated life test data into the corresponding constant-stress accelerated life test data. The proposed method can overcome the shortcoming of information lose.

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Available abstract

This paper investigates the maximum likelihood estimation of the average lifespan of products with the constraints, and the estimation of the average lifespan at stress level, which follows the exponential distribution, is derived by transforming the time-censoring step-stress accelerated life test data into the corresponding constant-stress accelerated life test data. The proposed method can overcome the shortcoming of information lose.

Key concepts: Censoring (clinical trials), Maximum likelihood, Accelerated life testing, Exponential distribution, Estimation, Statistics, Stress (linguistics), Mathematics

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