A discrete claims-model for the inflated and over-dispersed automobile claims frequencies data: Applications and actuarial risk analysis Article Swipe
Haitham M. Yousof
,
Mohammad Mehdi Saber
,
Abdullah H. Al-Nefaie
,
Nadeem Shafique Butt
,
Mohamed Ibrahim
,
Salwa L. Alkhayyat
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.18187/pjsor.v20i2.4535
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.18187/pjsor.v20i2.4535
This paper showcases the effectiveness of the discrete generalized Burr-Hatke distribution in analyzing insurance claims data, specifically focusing on scenarios with over-dispersed and zero-inflated claims. Key contributions include presenting foundational statistical theories with mathematical proofs to enrich the paper’s mathematical and statistical aspects. Through the application of this discrete distribution, the study conducted a thorough risk analysis across five diverse sets of insurance claims data, evaluating critical risk indicators at specified quantiles. These indicators provided detailed insights into potential losses across different risk levels, supporting effective risk management strategies. The research emphasizes the importance of selecting appropriate probability distributions when analyzing zero-inflated data, as commonly observed in insurance claims. The discrete distribution accommodated these unique data characteristics and facilitated a robust analysis of risk metrics, enhancing the accuracy of potential loss assessments and reducing associated uncertainties. Furthermore, the study highlights the practical relevance of the discrete distribution in addressing specific challenges inherent to insurance claims data. By leveraging this distribution, insurers and risk analysts can improve their risk modeling capabilities, leading to more informed decision-making and enhanced financial exposure management.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.18187/pjsor.v20i2.4535
- https://pjsor.com/pjsor/article/download/4535/1304
- OA Status
- diamond
- Cited By
- 7
- References
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- Related Works
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- OpenAlex ID
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https://doi.org/10.18187/pjsor.v20i2.4535Digital Object Identifier
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A discrete claims-model for the inflated and over-dispersed automobile claims frequencies data: Applications and actuarial risk analysisWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
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2024Year of publication
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2024-06-05Full publication date if available
- Authors
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Haitham M. Yousof, Mohammad Mehdi Saber, Abdullah H. Al-Nefaie, Nadeem Shafique Butt, Mohamed Ibrahim, Salwa L. AlkhayyatList of authors in order
- Landing page
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https://doi.org/10.18187/pjsor.v20i2.4535Publisher landing page
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https://pjsor.com/pjsor/article/download/4535/1304Direct link to full text PDF
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YesWhether a free full text is available
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diamondOpen access status per OpenAlex
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https://pjsor.com/pjsor/article/download/4535/1304Direct OA link when available
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Quantile, Risk management, Actuarial science, Risk analysis (engineering), Econometrics, Computer science, Mathematical proof, Distribution (mathematics), Mathematics, Business, Finance, Mathematical analysis, GeometryTop concepts (fields/topics) attached by OpenAlex
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7Total citation count in OpenAlex
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2025: 3, 2024: 4Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| primary_location.raw_source_name | Pakistan Journal of Statistics and Operation Research |
| primary_location.landing_page_url | https://doi.org/10.18187/pjsor.v20i2.4535 |
| publication_date | 2024-06-05 |
| publication_year | 2024 |
| referenced_works | https://openalex.org/W4386485439, https://openalex.org/W6830547724, https://openalex.org/W2803903593, https://openalex.org/W1614384921, https://openalex.org/W4391961968, https://openalex.org/W4296281834, https://openalex.org/W4321787769, https://openalex.org/W4381795430, https://openalex.org/W4296014604, https://openalex.org/W4385649894, https://openalex.org/W7029719688, https://openalex.org/W1976375463, https://openalex.org/W4306292306, https://openalex.org/W4296702993, https://openalex.org/W4412020120, https://openalex.org/W4383104278, https://openalex.org/W4382753565, https://openalex.org/W2030371617, https://openalex.org/W4372284286, https://openalex.org/W3209851756, https://openalex.org/W4323569049, https://openalex.org/W4320728465, https://openalex.org/W2084361475 |
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