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Estimating Parameters of the Norris-Landzberg Model under Gamma Distribution

Author(s)

Heli Wang*

Affiliation(s)

School of Mathematics and Physics, Xi’an Jiaotong-Liverpool University, Suzhou, China *Corresponding author

Abstract

With the increase quality of products, the traditional life-testing method is too time-consuming. Therefore, the accelerated life-testing (ALT) is widely used. If the product operating conditions fluctuate continuously, the cyclic accelerated life-testing (CALT) is considered. Among CALTs, the Norris-Landzberg model is commonly used in modeling the growing crack resulting from the thermal cyclic stress. In the parameter estimate of this model, many researchers have employed linear regression models without a proper parametric assumption, which may impair its statistical integrity. Therefore, this paper propose a Gamma distribution assumption, which will ensure the unbiasedness and consistency of estimator. The corresponding inference is also shown.

Keywords

Norris-Landzberg Model; Linear Regression; Statistical Inference

References

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