The discrete analogue of the Weibull G family: properties, different applications, Bayesian and non-Bayesian estimation methods

M Ibrahim, MM Ali, HM Yousof - Annals of Data Science, 2021 - Springer
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 …

A novel test statistic for right censored validity under a new Chen extension with applications in reliability and medicine

M Ibrahim, K Aidi, MM Ali, HM Yousof - Annals of Data Science, 2023 - Springer
A new modified version of the Bagdonavičius and Nikulin goodness-of-fit statistical test is
presented and investigated for validity under the exponentiated Rayleigh generalized Chen …

A new log-logistic lifetime model with mathematical properties, copula, modified goodness-of-fit test for validation and real data modeling

MM Mansour, M Ibrahim, K Aidi, N Shafique Butt… - Mathematics, 2020 - mdpi.com
After defining a new log-logistic model and studying its properties, some new bivariate type
versions using “Farlie-Gumbel-Morgenstern Copula”,“modified Farlie-Gumbel-Morgenstern …

A novel G family for single acceptance sampling plan with application in quality and risk decisions

B Ahmed, MM Ali, HM Yousof - Annals of Data Science, 2024 - Springer
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 …

The Lindley Gompertz Model for Estimating the Survival Rates: Properties and Applications in Insurance

HS Mohamed, MM Ali, HM Yousof - Annals of Data Science, 2023 - Springer
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 …

A new Lindley extension: estimation, risk assessment and analysis under bimodal right skewed precipitation data

M Hashempour, M Alizadeh, HM Yousof - Annals of Data Science, 2024 - Springer
The objectives of this study are to propose a new two-parameter lifespan distribution and
explain some of the most essential properties of that distribution. Through the course of this …

A size-of-loss model for the negatively skewed insurance claims data: applications, risk analysis using different methods and statistical forecasting

HS Mohamed, GM Cordeiro, R Minkah… - Journal of Applied …, 2024 - Taylor & Francis
The future values of the expected claims are very important for the insurance companies for
avoiding the big losses under uncertainty which may be produced from future claims. In this …

A novel generator of continuous probability distributions for the asymmetric left-skewed bimodal real-life data with properties and copulas

WAM Shehata, H Yousof, M Aboraya - Pakistan Journal of Statistics and …, 2021 - pjsor.com
This paper presents a novel two-parameter G family of distributions. Relevant statistical
properties such as the ordinary moments, incomplete moments and moment generating …

A new probability distribution for modeling failure and service times: properties, copulas and various estimation methods

H Elgohari, M Ibrahim, HM Yousof - Statistics, Optimization & …, 2021 - iapress.org
In this paper, a new generalization of the Pareto type II model is introduced and studied. The
new density canbe “right skewed” with heavy tail shape and its corresponding failure rate …

Expanded Fréchet model: mathematical properties, copula, different estimation methods, applications and validation testing

M M. Salah, M El-Morshedy, MS Eliwa, HM Yousof - Mathematics, 2020 - mdpi.com
The extreme value theory is expanded by proposing and studying a new version of the
Fréchet model. Some new bivariate type extensions using Farlie–Gumbel–Morgenstern …