Derivation of the Empirical Bayesian method for the Negative Binomial-Lindley generalized linear model with application in traffic safety

A Khodadadi, I Tsapakis, M Shirazi, S Das… - Accident Analysis & …, 2022 - Elsevier
The expected crash frequency is the long-term average crash count for a specific site. It is
extensively used to systematically evaluate the crash risk associated with roadway …

Evaluating alternative variations of Negative Binomial–Lindley distribution for modelling crash data

A Khodadadi, M Shirazi, S Geedipally… - … A: transport science, 2023 - Taylor & Francis
Several studies have reported the superior performance of the Negative Binomial–Lindley
(NB-L) compared to the commonly used Negative Binomial distribution. Consequently …

[PDF][PDF] Bayesian poisson model for covid-19 in west java indonesia

T Toharudin, RE Caraka, RC Chen, NT Nugroho… - Sylwan, 2020 - ir.lib.cyut.edu.tw
COVID-19 is designated as a pandemic disease by WHO and has a pervasive impact,
especially in Indonesia. In this paper, we use Bayesian Poisson with MCMC to analyze the …

A Lindley–binomial model for analyzing the proportions with sparseness and excessive zeros

D Deng, X Zhang - Journal of Applied Statistics, 2024 - Taylor & Francis
Proportional data arise frequently in a wide variety of fields of study. Such data often exhibit
extra variation such as over/under dispersion, sparseness and zero inflation. For example …

A New Zero–Inflated Regression Model with Applications to Australian Health Survey and Biochemistry Graduate Students Data

C Tanış, MM Mansour, EM Abd Elrazik… - Journal of …, 2024 - Wiley Online Library
In this study, we propose a new zero‐inflated regression model as an alternative to zero‐
inflated regression models, such as the zero‐inflated Poisson, zero‐inflated negative …

Bernoulli Poisson Moment Exponential Distribution: Mathematical Properties, Regression Model, and Applications

A Alrumayh - International Journal of Mathematics and …, 2024 - Wiley Online Library
We introduce a new flexible count distribution by combining Bernoulli and Poisson moment
exponential (PMEx) distributions. The new model named the Bernoulli PMEx distribution …

A four-parameter negative binomial-Lindley regression model to analyze factors influencing the number of cancer deaths using Bayesian inference

U Tonggumnead, K Klinjan, E Tanprayoon… - Commun. Math. Biol …, 2023 - scik.org
In this paper, factors influencing the number of cancer deaths in Thailand that is a heavy-
tailed data with overdispersion, were analyzed. A new mixed negative binomial (NB) …

The Negative Binomial-Generalized Lindley Distribution for Overdispersed Data

Y Atikankul, A Wattanavisut, S Liu - Lobachevskii Journal of Mathematics, 2022 - Springer
In this paper, a new count distribution for overdispersed data is introduced. The distribution
is a mixture of the negative binomial and generalized Lindley distributions. This new …