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 …

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 …

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 …

Actuaries are interested in modeling actuarial data using loss models that can be adopted to
describe risk exposure. This paper introduces a new flexible extension of the log-logistic …

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 …

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 …

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 …

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 …

Insurance and economic data are often positive, and we need to take into account this
peculiarity in choosing a statistical model for their distribution. An example is the inverse …

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 …