The Arcsine Exponentiated-X Family: Validation and Insurance Application
Joint Authors
Ahmad, Zubair
He, Wenjing
Afify, Ahmed Z.
Goual, Hafida
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-14
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, we propose a family of heavy tailed distributions, by incorporating a trigonometric function called the arcsine exponentiated-X family of distributions.
Based on the proposed approach, a three-parameter extension of the Weibull distribution called the arcsine exponentiated-Weibull (ASE-W) distribution is studied in detail.
Maximum likelihood is used to estimate the model parameters, and its performance is evaluated by two simulation studies.
Actuarial measures including Value at Risk and Tail Value at Risk are derived for the ASE-W distribution.
Furthermore, a numerical study of these measures is conducted proving that the proposed ASE-W distribution has a heavier tail than the baseline Weibull distribution.
These actuarial measures are also estimated from insurance claims real data for the ASE-W and other competing distributions.
The usefulness and flexibility of the proposed model is proved by analyzing a real-life heavy tailed insurance claims data.
We construct a modified chi-squared goodness-of-fit test based on the Nikulin–Rao–Robson statistic to verify the validity of the proposed ASE-W model.
The modified test shows that the ASE-W model can be used as a good candidate for analyzing heavy tailed insurance claims data.
American Psychological Association (APA)
He, Wenjing& Ahmad, Zubair& Afify, Ahmed Z.& Goual, Hafida. 2020. The Arcsine Exponentiated-X Family: Validation and Insurance Application. Complexity،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1144312
Modern Language Association (MLA)
He, Wenjing…[et al.]. The Arcsine Exponentiated-X Family: Validation and Insurance Application. Complexity No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1144312
American Medical Association (AMA)
He, Wenjing& Ahmad, Zubair& Afify, Ahmed Z.& Goual, Hafida. The Arcsine Exponentiated-X Family: Validation and Insurance Application. Complexity. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1144312
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144312