BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application

COMPARING STATISTICAL AND DEEP LEARNING METHODS FOR INSURANCE CLAIM ESTIMATION: A CASE STUDY OF HIDDEN MARKOV MODEL (HMM) AND CONVOLUTIONAL NEURAL NETWORK - LONG SHORTTERM MEMORY (CNN-LSTM)

Ainun Mawaddah Abdal (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Hasanuddin, Indonesia)
Andi Muhammad Anwar (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Hasanuddin, Indonesia)
Illuminata Wynnie (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Hasanuddin, Indonesia)
Amil Siddik (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Hasanuddin, Indonesia)
Edy Saputra Rusdi (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Hasanuddin, Indonesia)
Mauliddin Mauliddin (Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Hasanuddin, Indonesia)



Article Info

Publish Date
24 Aug 2026

Abstract

The insurance industry relies heavily on accurate claim prediction to support risk management, reserve allocation, and financial stability. However, motor vehicle insurance claim data are typically characterized by temporal dependency, highly skewed distributions, and fluctuating claim severity, making accurate prediction a challenging task. While deep learning approaches have recently gained attention for time-series forecasting, their effectiveness on moderate-scale insurance claim datasets remains uncertain. This study aims to compare the predictive performance of the Hidden Markov Model (HMM) and CNN-LSTM in modelling temporal patterns and predicting daily motor vehicle insurance claims. In addition, an Attention-LSTM + XGBoost ensemble model is included as a supplementary deep learning benchmark. This study utilizes historical motor vehicle insurance claim data collected from 2017 to 2021, consisting of 11,679 claim observations. The data preprocessing stage included data cleaning, missing value handling, outlier detection, and claim severity categorization for HMM modelling. The HMM parameters were estimated using the Baum–Welch algorithm, while the deep learning models were trained using sequential claim data. Model performance was evaluated using Mean Absolute Error (MAE), Root Mean Squared Error (RMSE), and coefficient of determination (R^2) on the testing dataset to ensure objective comparison. The experimental results show that the HMM model achieved the best predictive performance, outperforming both the CNN-LSTM and Attention-LSTM + XGBoost models. The findings indicate that the probabilistic structure of HMM is more suitable for modelling the temporal risk patterns and fluctuating claim behavior observed in the motor vehicle insurance dataset. Furthermore, the study demonstrates that classical probabilistic models can remain competitive and even outperform more complex deep learning approaches when applied to moderately sized insurance claim datasets with limited hidden complexity.

Copyrights © 2026






Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...