Gumbel mixture modelling for multiple failure data

Nagode, Marko; Oman, Simon; Klemenc, Jernej; Panić, Branislav

doi:10.1016/j.ress.2022.108946

Cited by 3 publications

(2 citation statements)

References 45 publications

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“…In probabilistic, the Akaike Information Criterion (AIC) is a method to determine the suitable distribution to be used on an analysed dataset. [43]. The smallest value of AIC is said to be the best distribution selected.…”

Section: Fatigue Reliability Characterisation For the Random Road Loa...mentioning

confidence: 99%

“…By considering the fatigue strain-based data under an extreme data, the Gumbel distribution is selected as suitable distribution in reliability assessment. This is due to the Gumbel distribution also has been used in modelling a failure [43] and predicting fatigue failure [52]. In assessing the reliability analysis, the PDF and CDF were analysed to estimate the probability of failure on a leaf spring based on a curved shape.…”

Section: Fatigue Reliability Assessment Under Extreme Value Distributionmentioning

confidence: 99%

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Strain-based running-reliability characterisation in time-domain for risk monitoring under various load conditions

Karam Singh,

Abdullah,

Abdullah

et al. 2024

Eksploatacja i Niezawodność – Maintenance and Reliability

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This aim of this paper is to characterise the strain-based fatigue life data in time-domain using the newly modelled running-reliability technique that considers the load sequence effect. Current established conventional strain life models do not consider dependence for fatigue life of low or high amplitudes, on which with occur first in the load history. Finite element analysis is carried out to ensure the strain signals are captured at the most critical region during road test at various conditions. Fatigue life of 2.74 × 104 to 6.07 × 105 cycle/block with mean cycle to failure of 4.32 × 106 to 7.00 × 106 cycle/block is predicted based on the cycle sequence effect using cycle-counting method. The newly modelled running-reliability technique is formulated to extract the features of high amplitude excitation obtained from the strain signals for characterising the fatigue reliability features under load sequence effect. Hence, the reliability-hazard relationship for fatigue reliability characterisation of strain-based approach in time-domain using running-reliability technique.

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Section: Fatigue Reliability Characterisation For the Random Road Loa...mentioning

confidence: 99%

Section: Fatigue Reliability Assessment Under Extreme Value Distributionmentioning

confidence: 99%

Strain-based running-reliability characterisation in time-domain for risk monitoring under various load conditions

Karam Singh,

Abdullah,

Abdullah

et al. 2024

Eksploatacja i Niezawodność – Maintenance and Reliability

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Impact of Drought in Northeastern Algeria: Comparative Study of the SPI and SPEI Índices

Ziari,

Medjerab

2024

RGSA

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Purpose: The study aimed to evaluate drought trends in Annaba, Algeria, considering global warming and extreme weather, using quantitative indices for improved drought comprehension and prediction. Theoretical Framework:The study assesses changes in drought frequency and severity in the Annaba region of Algeria due to global warming and extreme weather conditions. It employs quantitative indices to enhance drought understanding and prediction. Methodology: The study analyzes temperature and precipitation data (1981-2021) from an Annaba weather station to assess drought characteristics.Standardized indices (SPI, SPEI) and extreme value analysis (Generalized Pareto Distribution) are used to quantify drought intensity, duration, and temperature impacts. Findings: Our analyses reveal a critical divergence in drought assessment tools. While stable monthly temperatures suggest a constant influence on evapotranspiration, the SPEI index (including temperature) indicates increasing drought compared to the precipitation-only SPI. This highlights the importance of considering temperature alongside precipitation for accurate drought assessment. Research Practical and Social Implication: This study emphasizes the significance of considering the interplay among temperature, precipitation, and evapotranspiration for better understanding and predicting drought changes in the Annaba region, Algeria. These insights are crucial for sustainable water resource management and climate change adaptation in the region. Originality/Value:This study distinguishes itself by its comprehensive analysis of long-term climate data to examine drought trends in a specific region (Annaba, Algeria) severely impacted by climate change. By comparing the effectiveness of two drought indices (SPEI and SPI), it offers valuable insights into how to improve drought assessments by considering the role of temperature in evapotranspiration. This research enriches the existing literature on drought management and climate change adaptation, providing a valuable case study for similar arid and semi-arid regions worldwide.

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A New Generalization of the Truncated Gumbel Distribution with Quantile Regression and Applications

Gómez,

Santoro,

Ayma

et al. 2024

Mathematics

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In this article, we introduce a new model with positive support. This model is an extension of the truncated Gumbel distribution, where a shape parameter is incorporated that provides greater flexibility to the new model. The model is parameterized in terms of the p-th quantile of the distribution to perform quantile regression in this model. An extensive simulation study demonstrates the good performance of the maximum likelihood estimators in finite samples. Finally, two applications to real datasets related to the level of beta-carotene and body mass index are presented.

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Gumbel mixture modelling for multiple failure data

Cited by 3 publications

References 45 publications

Strain-based running-reliability characterisation in time-domain for risk monitoring under various load conditions

Strain-based running-reliability characterisation in time-domain for risk monitoring under various load conditions

Impact of Drought in Northeastern Algeria: Comparative Study of the SPI and SPEI Índices

A New Generalization of the Truncated Gumbel Distribution with Quantile Regression and Applications

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