Statistical Inference for Progressive Stress Accelerated Life Testing with Birnbaum-Saunders Distribution
نویسندگان
چکیده
منابع مشابه
Accelerated Life Testing Model for a Generalized Birnbaum-Saunders Distribution
Fatigue failures caused by cyclic stresses are commonly modeled by Birnbaum-Saunders (B-S) and Weibull distributions. Sometimes, materials with high cycle fatigue exhibit bimodal failure rates which are difficult to model with Weibull distribution. The objective of this paper is to investigate a general Birnbaum-Saunders (GB-S) distribution which covers diverse hazard rates such as increasing, ...
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We develop nearly unbiased estimators for the two-parameter Birnbaum–Saunders distribution [Birnbaum, Z.W., Saunders, S.C., 1969a. A new family of life distributions. J. Appl. Probab. 6, 319–327], which is commonly used in reliability studies. We derive modified maximum likelihood estimators that are bias-free to second order. We also consider bootstrap-based bias correction. The numerical evid...
متن کاملA Birnbaum-Saunders accelerated life model
The 2-parameter family of probability distributions introduced by Birnbaum & Saunders characterizes the fatigue failure of materials subjected to cyclic stresses and strains. It is shown that the methods of accelerated life testing are applicable to the Birnbaum–Saunders distribution for analyzing accelerated lifetime data, and the (inverse) power law model is used due to its justification for ...
متن کاملBivariate Birnbaum-Saunders distribution and associated inference
Univariate Birnbaum–Saunders distribution has been used quite effectively to model positively skewed data, especially lifetime data and crack growth data. In this paper, we introduce bivariate Birnbaum–Saunders distribution which is an absolutely continuous distribution whose marginals are univariate Birnbaum–Saunders distributions. Different properties of this bivariate Birnbaum–Saunders distr...
متن کاملGeneralized Birnbaum-Saunders Distribution
The two-parameter Birnbaum–Saunders (BS) distribution was originally proposed as a failure time distribution for fatigue failure caused under cyclic loading. BS model is a positively skewed statistical distribution which has received great attention in recent decades. Several extensions of this distribution with various degrees of skewness, kurtosis and modality are considered. In particular, a...
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ژورنال
عنوان ژورنال: Stats
سال: 2018
ISSN: 2571-905X
DOI: 10.3390/stats1010014