2020
DOI: 10.1155/2020/7631495
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On Modeling the Earthquake Insurance Data via a New Member of the T-X Family

Abstract: Heavy-tailed distributions play an important role in modeling data in actuarial and financial sciences. In this article, a new method is suggested to define new distributions suitable for modeling data with a heavy right tail. The proposed method may be named as the Z-family of distributions. For illustrative purposes, a special submodel of the proposed family, called the Z-Weibull distribution, is considered in detail to model data with a heavy right tail. The method of maximum likelihood estimation is adopte… Show more

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Cited by 11 publications
(8 citation statements)
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“…Recently, Ahmad et al [ 37 ] proposed a Z -family of distributions by incorporating an additional parameter. The DF of the Z -family is defined by where F ( t ; Ξ) is a baseline distribution.…”
Section: The Proposed Distributionmentioning
confidence: 99%
“…Recently, Ahmad et al [ 37 ] proposed a Z -family of distributions by incorporating an additional parameter. The DF of the Z -family is defined by where F ( t ; Ξ) is a baseline distribution.…”
Section: The Proposed Distributionmentioning
confidence: 99%
“…is can be widely used in actuarial science, survival analysis, and many other fields such as the risk management; for more information, see [35].…”
Section: Residual Life and Reverse Residual Lifementioning
confidence: 99%
“…Ahmad et al [ 21 ] proposed a class of claim (CC) distributions and applied it to insurance claim data. Ahmad et al [ 22 ] introduced the Z-Weibull distribution for analyzing the earthquake insurance data. Ahmad et al [ 23 ] introduced new methods for generating heavy-tailed (HT) distributions and analyzed insurance data.…”
Section: Statistical Modelingmentioning
confidence: 99%