Natural Discrete One Parameter Polynomial Exponential Family of Distributions and the Application

06-06-2022

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Authors: Sudhansu S. Maiti; Molay Kumar Ruidas; Sumanta Adhya
Published in: Annals of Data Science | Issue 3/2024

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Abstract

The article presents a new discrete distribution model, the Natural Discrete One Parameter Polynomial Exponential (NDOPPE) family, designed to analyze count data more flexibly than existing models. It generalizes the negative binomial distribution by incorporating non-zero constants, making it suitable for over-dispersed data. The NDOPPE model is computationally efficient and statistically inferable, with applications in collective risk models. The article compares the NDOPPE model with other distributions using real-world automobile claim data, demonstrating its superior performance. Key topics include the model's definition, statistical properties, reliability measures, and practical applications in risk assessment and actuarial science.

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Title: Natural Discrete One Parameter Polynomial Exponential Family of Distributions and the Application
Authors: Sudhansu S. Maiti
Molay Kumar Ruidas
Sumanta Adhya
Publication date: 06-06-2022
Publisher: Springer Berlin Heidelberg
Published in: Annals of Data Science / Issue 3/2024
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-022-00422-8

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Natural Discrete One Parameter Polynomial Exponential Family of Distributions and the Application

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