Sciencestatistics: Journal of Statistics, Probability, and Its Application
Vol. 3 No. 1 (2025): JANUARY

Tweedie Distribution: A Statistical Solution for Unusually Dispersed Data

Zainol Mustafa (Unknown)



Article Info

Publish Date
29 Jan 2025

Abstract

The Tweedie distribution has emerged as an effective statistical approach to model data with unusual dispersion characteristics, especially data with mixed discrete and continuous components. In this study, the Tweedie distribution is applied to insurance claims data to model the pattern of claims containing many zero values and large claims that are continuous in nature. With parameter estimation using the iteratively reweighted least squares (IRLS) algorithm in R software, the results show that the Tweedie distribution can handle higher variability (overdispersion) accurately. The estimated power parameter value () of 1.7 indicates that the Tweedie distribution combines the Poisson and Gamma distributions, which are effective in modeling claims data with high dispersion. This study also shows that the Tweedie distribution is able to provide better and more realistic predictions compared to traditional distributions such as Poisson or Gamma, which cannot handle data with mixed characteristics and overdispersion well. These findings provide important contributions to insurance claims modeling and open up the potential for wider applications in various other fields that face data with high variability and mixed patterns.

Copyrights © 2025






Journal Info

Abbrev

sciencestatistics

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Description

Sciencestatistics: Journal of Statistics, Probability, and Its Application is an Open Access journal in the field of statistical inference, experimental design and analysis, survey methods and analysis, research operations, data mining, statistical modeling, statistical updating, time series and ...