Optimal Plans of Constant-Stress Accelerated Life Tests for the Lindley Distribution

El-Din, M. M. Mohie; Abu-Youssef, S. E.; Ali, Nahed S. A.; El-Raheem, A. M. Abd

doi:10.1520/jte20150312

Cited by 20 publications

(3 citation statements)

References 30 publications

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“…For simplification, let t ij:m i :n i = t ij , which represent the progressive censoring lifetimes under progressive-stress level S i (t), i = 1, 2, ..., k and j = 1, 2, ..., m i . The likelihood function of the proposed model is derived while using the CDF in (5) and the corresponding PDF in (6), as follows:…”

Section: Maximum Likelihood Estimationmentioning

confidence: 99%

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Accelerated Life Tests under Pareto-IV Lifetime Distribution: Real Data Application and Simulation Study

et al. 2020

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In this article, a progressive-stress accelerated life test (ALT) that is based on progressive type-II censoring is studied. The cumulative exposure model is used when the lifetime of test units follows Pareto-IV distribution. Different estimates as the maximum likelihood estimates (MLEs) and Bayes estimates (BEs) for the model parameters are discussed. Bayesian estimates are derived while using the Tierney and Kadane (TK) approximation method and the importance sampling method. The asymptotic and bootstrap confidence intervals (CIs) of the parameters are constructed. A real data set is analyzed in order to clarify the methods proposed through this paper. Two types of the progressive-stress tests, the simple ramp-stress test and multiple ramp-stress test, are compared through the simulation study. Finally, some interesting conclusions are drawn.

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Section: Maximum Likelihood Estimationmentioning

confidence: 99%

“…In constant-stress ALT, the test is performed completely under a constant level of stress. Several authors have discussed the constant-stress models; see references [2][3][4][5][6][7][8][9] for more details. The second way to apply accelerated stress is step-stress.…”

Section: Introductionmentioning

confidence: 99%

Accelerated Life Tests under Pareto-IV Lifetime Distribution: Real Data Application and Simulation Study

et al. 2020

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“…In constant‐stress ALT, each unit is run at constant high stress until either all units fail or the test terminates. Constant‐stress models were studied by several authors; see Kim and Bai, Watkins and John, Jaheen et al, Guan et al, and Mohie El‐Din et al()…”

Section: Introductionmentioning

confidence: 99%

Classical and Bayesian inference on progressive‐stress accelerated life testing for the extension of the exponential distribution under progressive type‐II censoring

El-Din

Abu-Youssef

Ali

et al. 2017

Quality & Reliability Eng

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In this paper, a progressive‐stress accelerated life test under progressive type‐II censoring is considered. The cumulative exposure model is assumed when the lifetime of test units follows an extension of the exponential distribution. The maximum likelihood and Bayes estimates of the model parameters are obtained. The approximate and credible confidence intervals of the estimators are derived. Furthermore, a real lifetime data set is analyzed to illustrate the proposed procedures. Finally, the simulation studies are used to compare between 2 different designs of the progressive‐stress test (simple and multiple ramp‐stress tests).

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Dynamic reliability evaluation of TBM components in tunnel construction

Xiong,

Lin,

et al. 2024

Geological Journal

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The complex geological conditions in tunnels pose a huge challenge to the reliability of tunnel boring machine (TBM). However, existing reliability studies typically focus on core structures such as cutters and cutterheads, with less consideration given to the rest of the components that frequently fail. In this study, the reliability analysis and dynamic evaluation of TBM components with high failure rates are carried out relying on the Shanxi Central Yellow River Diversion Project. The life distribution and reliability variation characteristics of TBM components under different rock mass classes are investigated in terms of tunnelling time and tunnelling distance as two types of life data indexes. And the life index which is more suitable for the reliability evaluation of TBM components is identified by comparison. On this basis, a dynamic evaluation method for the reliability of TBM components under the condition of multi‐classes surrounding rock is proposed. This method can quickly evaluate the current reliability of TBM components and serve as the basis for preventive maintenance. The results of this study play a certain role in supplementing the reliability research of TBM and also provide a scientific basis for optimizing the design and maintenance strategy of TBM components.

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Optimal Plans of Constant-Stress Accelerated Life Tests for the Lindley Distribution

Cited by 20 publications

References 30 publications

Accelerated Life Tests under Pareto-IV Lifetime Distribution: Real Data Application and Simulation Study

Accelerated Life Tests under Pareto-IV Lifetime Distribution: Real Data Application and Simulation Study

Classical and Bayesian inference on progressive‐stress accelerated life testing for the extension of the exponential distribution under progressive type‐II censoring

Dynamic reliability evaluation of TBM components in tunnel construction

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