International Journal of Quantitative Research and Modeling
Vol. 6 No. 4 (2025): International Journal of Quantitative Research and Modeling (IJQRM)

Modeling Fire Insurance Claim Frequency Using Negative Binomial Regression

Apdie Seno, Nathaniela (Unknown)
Brilliantxa Hazel Alvarivano (Unknown)



Article Info

Publish Date
02 Jan 2026

Abstract

Fire insurance plays an important role in providing financial protection against losses caused by fire risks. To support risk management and accurate premium determination, a model capable of predicting claim frequency based on relevant factors such as the Total Sum Insured (TSI) is required. The data used in this study consist of statistical fire insurance data covering the number of policies and claim frequencies in three provinces: West Java, Central Java, and East Java. The analysis was conducted using Poisson regression and Negative Binomial regression to model and predict claim frequency based on TSI. Initial estimation using the Poisson model indicated the presence of overdispersion, suggesting that this model is less suitable for the data. Therefore, the Negative Binomial regression model was applied, as it can better handle excessive variance. This model produced a lower AIC value compared to the Poisson model and showed that TSI has a significant effect on claim frequency. Thus, the Negative Binomial regression model is considered more accurate for predicting fire insurance claim frequency based on TSI.

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Journal Info

Abbrev

ijqrm

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Engineering Environmental Science Physics

Description

International Journal of Quantitative Research and Modeling (IJQRM) is published 4 times a year and is the flagship journal of the Research Collaboration Community (RCC). It is the aim of IJQRM to present papers which cover the theory, practice, history or methodology of Quatitative Research (QR) ...