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 …

Discrete Burr-Hatke distribution with properties, estimation methods and regression model

M El-Morshedy, MS Eliwa, E Altun - IEEE access, 2020 - ieeexplore.ieee.org
A new one-parameter discrete distribution, namely discrete Burr-Hatke distribution is
introduced and its mathematical properties are studied comprehensively. The main …

[HTML][HTML] Discrete Gompertz-G family of distributions for over-and under-dispersed data with properties, estimation, and applications

MS Eliwa, ZA Alhussain, M El-Morshedy - Mathematics, 2020 - mdpi.com
Alizadeh et al. introduced a flexible family of distributions, in the so-called Gompertz-G
family. In this article, a discrete analogue of the Gompertz-G family is proposed. We also …

A study on discrete Bilal distribution with properties and applications on integervalued autoregressive process

E Altun, M El-Morshedy, MS Eliwa - REVSTAT-Statistical Journal, 2022 - revstat.ine.pt
This study proposes a new one-parameter discrete distribution, called a discrete Bilal
distribution. The structural properties of the proposed distributions, including the shape of …

A new discrete distribution: Properties, characterizations, modeling real count data, Bayesian and non-Bayesian estimations

HM Yousof, C Chesneau, G Hamedani… - …, 2021 - epublications.marquette.edu
In this work, a new discrete distribution which includes the discrete Burr-Hatke distribution is
defined and studied. Relevant statistical properties are derived. The probability mass …

[HTML][HTML] A new statistical approach to model the counts of novel coronavirus cases

M El-Morshedy, E Altun, MS Eliwa - Mathematical Sciences, 2022 - Springer
This study proposes new statistical tools to analyze the counts of the daily coronavirus cases
and deaths. Since the daily new deaths exhibit highly over-dispersion, we introduce a new …

A discrete analogue of odd Weibull-G family of distributions: properties, classical and Bayesian estimation with applications to count data

M El-Morshedy, MS Eliwa, A Tyagi - Journal of Applied Statistics, 2022 - Taylor & Francis
In the statistical literature, several discrete distributions have been developed so far.
However, in this progressive technological era, the data generated from different fields is …

[PDF][PDF] A discrete Ramos-Louzada distribution for asymmetric and over-dispersed data with leptokurtic-shaped: Properties and various estimation techniques with …

AS Eldeeb, M Ahsan-ul-Haq, MS Eliwa - AIMS Mathematics, 2022 - aimspress.com
In this paper, a flexible probability mass function is proposed for modeling count data,
especially, asymmetric, and over-dispersed observations. Some of its distributional …

[HTML][HTML] Discrete pseudo Lindley distribution: properties, estimation and application on INAR (1) process

MR Irshad, C Chesneau, V D'cruz, R Maya - Mathematical and …, 2021 - mdpi.com
In this paper, we introduce a discrete version of the Pseudo Lindley (PsL) distribution,
namely, the discrete Pseudo Lindley (DPsL) distribution, and systematically study its …

[PDF][PDF] The discrete power-Ailamujia distribution: properties, inference, and applications

AS Alghamdi, M Ahsan-ul-Haq, A Babar, HM Aljohani… - AIMS Math, 2022 - aimspress.com
In this article, a new two-parameter discrete power-Ailamujia (DsPA) distribution is derived
using the survival discretization technique. Some key distributional properties and reliability …