The phenomenon of one-inflation has received increasing attention in the recent literature
on capture–recapture analysis. When data consist of frequencies of number of captures, the …

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 …

A zero–one-inflated Poisson Lindley distribution has been introduced recently as an
alternative to the zero–one-inflated Poisson distribution for describing count data with a …

Abstract Let N O1PP be the Horvitz-Thompson estimator for the population size with one-
inflated positive Poisson distribution as the underlying distribution. We estimate the variance …

We find that in zero-truncated count data (y= 1, 2,...), individuals often gain information at first
observation (y= 1), leading to a common but unaddressed phenomenon of" one-inflation" …

Research that has examined the high levels of crime experienced in Latin American settings
has suggested that macrostructural variables (such as social inequality), and factors …

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 …

One-inflation in zero-truncated count data has recently found considerable attention. In this
regard, zero-truncated Geometric distribution and distribution to a point mass at one are …

This paper aims to propose estimation methods for one-inflated positive Poisson (OIPP)
distribution and compare their properties in terms of unbiasedness, consistency, efficiency …

The integrated use and the re-use of data coming from different sources is a common
practice in official statistics and it is recognized by the international community as a key …