Related Experiment Video
Updated: Sep 17, 2025
05:37
An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
2.2K
A novel Compound-Pareto model with applications and reliability peaks above a random threshold value at risk analysis
Mohammad Abiad1, M M Abd El-Raouf2, Haitham M Yousof3
1College of Business Administration, American University of the Middle East, Egaila, Kuwait.
Scientific Reports
|July 2, 2025
Summary
This study introduces a new compounded-Pareto distribution to model aircraft windshield reliability data. The novel approach enhances extreme value risk modeling for improved product safety and durability.
Area of Science:
- Reliability Engineering
- Statistical Modeling
- Extreme Value Theory
Background:
- Aircraft windshield reliability is critical for safety and longevity.
- Existing models may not adequately capture bimodal and right-skewed failure data.
- Extreme value analysis is essential for understanding product performance limits.
Purpose of the Study:
- To propose a novel compounded-Pareto distribution for modeling aircraft windshield data.
- To evaluate the performance of the proposed distribution using simulation and real-world data.
- To demonstrate the utility of the model in reliability analysis and extreme value risk assessment.
Main Methods:
- Utilizing a novel compounded-Pareto distribution.
- Employing the method of maximum likelihood for parameter estimation.
- Conducting a comprehensive simulation study for finite sample performance evaluation.
- Applying Peaks Over a Random Threshold Value at Risk (PORT-VAR) analysis.
Main Results:
- The proposed compounded-Pareto distribution effectively models bimodal and right-skewed aircraft windshield data.
- Simulation studies confirm the performance of the parameter estimators.
- The model demonstrates practical applicability on real-world reliability datasets.
- PORT-VAR analysis provides rigorous assessment of extreme failure events.
Conclusions:
- The novel compounded-Pareto distribution is a suitable tool for aircraft windshield reliability analysis.
- The proposed method enhances extreme value risk modeling capabilities.
- This approach supports manufacturers in optimizing designs and maintenance strategies for enhanced product durability and safety.
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