Mixed POT-BM Approach for Modeling Unhealthy Air Pollution Events
Nurulkamal Masseran1, Muhammad Aslam Mohd Safari2
1Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi 43600, Selangor, Malaysia.
A new method, the peak-over-threshold-block-maxima (POT-BM) approach, effectively models extreme air pollution events. It ensures data independence and provides precise, balanced statistical modeling for air quality management.
Area of Science:
- Environmental Science
- Atmospheric Science
- Statistics
Background:
- Unhealthy air pollution events pose significant environmental and health risks.
- Accurate modeling of extreme air pollution events is crucial for effective risk management.
- Existing methods may struggle with data dependency and precision in extreme value analysis.
Purpose of the Study:
- To introduce and evaluate a novel data selection technique, the mixed peak-over-threshold-block-maxima (POT-BM) approach.
- To improve the statistical modeling of extreme air pollution events.
- To address data dependency issues in extreme value analysis.
Main Methods:
- The study employed the peak-over-threshold (POT) technique to identify extreme data points exceeding a defined threshold (u).
- A declustering technique was applied to mitigate dependency issues among POT blocks.
- The block maxima (BM) concept was integrated to select maximum data points within each POT block.
Main Results:
- The mixed POT-BM approach successfully identified extreme data points that satisfy independence properties.
- The fitted models demonstrated satisfactory precision in representing extreme air pollution events.
- The method achieved a balanced trade-off between bias and variance in statistical modeling.
Conclusions:
- The mixed POT-BM approach is a robust technique for modeling extreme air pollution events.
- This method enhances the reliability and precision of extreme value statistical analysis.
- The case study in Klang, Malaysia, validates the approach for real-world air quality monitoring.
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