[HTML][HTML] The heavy-tailed exponential distribution: risk measures, estimation, and application to actuarial data

AZ Afify, AM Gemeay, NA Ibrahim - Mathematics, 2020 - mdpi.com
Modeling insurance data using heavy-tailed distributions is of great interest for actuaries.
Probability distributions present a description of risk exposure, where the level of exposure …

The Exponential T‐X Family of Distributions: Properties and an Application to Insurance Data

Z Ahmad, E Mahmoudi, M Alizadeh… - Journal of …, 2021 - Wiley Online Library
Heavy‐tailed distributions play a prominent role in actuarial and financial sciences. In this
paper, we introduce a family of distributions that we refer to as exponential T‐X (ETX) family …

New methods to define heavy-tailed distributions with applications to insurance data

Z Ahmad, E Mahmoudi, GG Hamedani… - Journal of Taibah …, 2020 - Taylor & Francis
Heavy-tailed distributions play an important role in modelling data in actuarial and financial
sciences. In this article, nine new methods are suggested to define new distributions suitable …

A new lomax extension: Properties, risk analysis, censored and complete goodness-of-fit validation testing under left-skewed insurance, reliability and medical data

M Salem, W Emam, Y Tashkandy, M Ibrahim, MM Ali… - Symmetry, 2023 - mdpi.com
The idea of symmetry, which is used to describe the shape of a probability distribution, is a
key concept in the theory of probability. The use of symmetric and asymmetric distributions is …

The Arcsine Exponentiated‐X Family: Validation and Insurance Application

W He, Z Ahmad, AZ Afify, H Goual - Complexity, 2020 - Wiley Online Library
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 …

[HTML][HTML] A new generalized Rayleigh distribution with analysis to big data of an online community

Z Shen, A Alrumayh, Z Ahmad, R Abu-Shanab… - Alexandria Engineering …, 2022 - Elsevier
Big data is a collection of complex and large volumes of data that is not easily handled by
the traditional process. The top ten big data science communities include Kaggle, IBM data …

A class of claim distributions: properties, characterizations and applications to insurance claim data

Z Ahmad, E Mahmoudi, G Hamedani - … in Statistics-Theory and …, 2022 - Taylor & Francis
Actuaries are often in search of finding an adequate model for actuarial and financial risk
management problems. In the present work, we introduce a class of claim distributions …

Type-I heavy tailed family with applications in medicine, engineering and insurance

W Zhao, SK Khosa, Z Ahmad, M Aslam, AZ Afify - PloS one, 2020 - journals.plos.org
In the present study, a new class of heavy tailed distributions using the TX family approach is
introduced. The proposed family is called type-I heavy tailed family. A special model of the …

A New Class of Heavy‐Tailed Distributions: Modeling and Simulating Actuarial Measures

J Zhao, Z Ahmad, E Mahmoudi, EH Hafez… - …, 2021 - Wiley Online Library
Statistical distributions play a prominent role for modeling data in applied fields, particularly
in actuarial, financial sciences, and risk management fields. Among the statistical …

[HTML][HTML] A new heavy tailed distribution with actuarial measures

FH Riad, A Radwan, EM Almetwally… - Journal of Radiation …, 2023 - Elsevier
Actuaries are constantly on the lookout for heavy-tailed (HT) distributions in order to model
data important to business and actuarial risk problems. In this article, we describe a novel …