In this work, we propose and study a new discrete analogue of the Weibull class. Many
useful properties such as ordinary moments; moment generating function; cumulant …

In this paper we present a new G family of probability distributions. Some of its mathematical
properties are derived. Based on a special member of the new family, a single acceptance …

Analyzing the future values of anticipated claims is essential in order for insurance
companies to avoid major losses caused by prospective future claims. This study proposes a …

A new generalization of Lomax distribution is derived and studied. Some of its useful
properties are derived. A simple clayton copula is used to generate many bivariate and …

This paper introduces a new extension of the Gompertz function for estimating the survival
rates. The actual survival rates from USA life tables 2015 is considered for assessment …

We introduce a new continuous distribution based on the zero truncated Poisson model
which accommodates many important failure rate shapes. Some of its mathematical …

A new two-parameter lifetime distribution is proposed and numerically studied. The new
model has a flflexible failure rate shapes such as “monotonically increasing”,“monotonically …

This paper presents a novel two-parameter G family of distributions. Relevant statistical
properties such as the ordinary moments, incomplete moments and moment generating …

In this paper, the authors introduce a new three-parameter lifetime probability distribution
known as the Marshall-Olkin-generated log-logistic (LL) distribution. They thoroughly …

The paper introduces a new reliability Burr Pareto type-II model, showcasing its versatility
and effectiveness in engineering applications, particularly in analyzing the failure and …