A Statistical Model for Count Data Analysis and Population Size Estimation: Introducing a Mixed Poisson–Lindley Distribution and Its Zero Truncation

G Alomair, RRM Tajuddin, HS Bakouch, A Almohisen - Axioms, 2024 - mdpi.com
Count data consists of both observed and unobserved events. The analysis of count data
often encounters overdispersion, where traditional Poisson models may not be adequate. In …

Robust parameter estimation for one-inflated positive Poisson Lindley distribution under the presence and absence of outliers with applications to crime data

RRM Tajuddin, MAM Safari, N Ismail - Pakistan Journal of Statistics and …, 2024 - pjsor.com
The one-inflated positive Poisson Lindley model has been recently introduced as an
alternative in modelling positive count data with a large number of ones: a phenomenon …

[PDF][PDF] Estimation of Population Size Based on One-Inflated, Zero-Truncated Count Distribution with Covariate Information

T Jongsomjit, R Lerdsuwansri - 2023 - ethesisarchive.library.tu.ac.th
To estimate the unknown size of the population that is difficult or hidden to enumerate, the
capture-recapture method is widely used for this purpose. We propose the one-inflated, zero …