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Research Article Open access CC BY 4.0

Modelling Claim Frequency in Insurance Using Count Models

A. Adetunji Ademola, Shamsul Rijal Muhammad Sabri

Asian Journal of Probability and Statistics · pp. 14–20 · Published 10 Sep 2021

10.9734/ajpas/2021/v14i430334

Abstract

Background: In modelling claim frequency in actuary science, a major challenge is the number of zero claims associated with datasets. Aim: This study compares six count regression models on motorcycle insurance data. Methodology: The Akaike Information Criteria (AIC) and the Bayesian Information Criterion (BIC) were used for selecting best models. Results: Result of analysis showed that the Zero-Inflated Poisson (ZIP) with no regressors for the zero component gives the best predictive ability for the data with the least BIC while the classical Negative Binomial model gives the best result for explanatory purpose with the least AIC.

Claims frequency count models poisson model negative binomial model regression

Cited by 2

On the Poisson-transmuted exponential distribution and its application to frequency of claim in actuarial science

Shamsul Rijal Muhammad Sabri, Ademola Abiodun Adetunji · Statistics in Transition new series · 2024

An Alternative Count Distribution for Modeling Dispersed Observations

Ademola Abiodun Adetunji, Shamsul Rijal Muhammad Sabri · Pertanika Journal of Science and Technology · 2023

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