A review of Student's t distribution and its generalizations

R Li, S Nadarajah - Empirical Economics, 2020 - Springer
The Student'st distribution is the most popular model for economic and financial data. In
recent years, many generalizations of the Student'st distribution have been proposed. This …

On generalized log-Moyal distribution: a new heavy tailed size distribution

D Bhati, S Ravi - Insurance: Mathematics and Economics, 2018 - Elsevier
A new class of distributions, the generalized log-Moyal, suitable for modelling heavy tailed
data is proposed in this article. This class exhibits desirable properties relevant to actuarial …

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 …

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 …

Dichotomous unimodal compound models: application to the distribution of insurance losses

SD Tomarchio, A Punzo - Journal of Applied Statistics, 2020 - Taylor & Francis
ABSTRACT A correct modelization of the insurance losses distribution is crucial in the
insurance industry. This distribution is generally highly positively skewed, unimodal hump …

[图书][B] Continuous Distributions in Engineering and the Applied Sciences--Part I

R Chattamvelli, R Shanmugam - 2022 - books.google.com
This is an introductory book on continuous statistical distributions and its applications. It is
primarily written for graduate students in engineering, undergraduate students in statistics …

Modeling severity and measuring tail risk of Norwegian fire claims

V Brazauskas, A Kleefeld - North American Actuarial Journal, 2016 - Taylor & Francis
The probabilistic behavior of the claim severity variable plays a fundamental role in
calculation of deductibles, layers, loss elimination ratios, effects of inflation, and other …

A New Tangent-Generated Probabilistic Approach with Symmetrical and Asymmetrical Natures: Monte Carlo Simulation with Reliability Applications

HM Alshanbari, H Al-Mofleh, JT Seong, SK Khosa - Symmetry, 2023 - mdpi.com
It is proven evidently that probability distributions have a significant role in data modeling for
decision-making. Due to the indispensable role of probability distributions for data modeling …

Modelling insurance data with the Pareto ArcTan distribution

E Gómez-Déniz, E Calderín-Ojeda - … Bulletin: The Journal of the IAA, 2015 - cambridge.org
In this paper, a new methodology based on the use of the inverse of the circular tangent
function that allows us to add a scale parameter (say α) to an initial survival function is …

Robust and efficient fitting of severity models and the method of Winsorized moments

Q Zhao, V Brazauskas, J Ghorai - ASTIN Bulletin: The Journal of the …, 2018 - cambridge.org
Continuous parametric distributions are useful tools for modeling and pricing insurance
risks, measuring income inequality in economics, investigating reliability of engineering …