Result: Testing for the zero‐altered Poisson distribution with positive data

Title:
Testing for the zero‐altered Poisson distribution with positive data
Authors:
Jiménez-Gamero, M.D., Puig, P., Ngatchou-Wandji, J.
Contributors:
EHESP, SCD
Source:
Statistica Neerlandica. 79
Publisher Information:
Wiley, 2025.
Publication Year:
2025
Subject Terms:
goodness-of-fit tests, empirical probability generating function, positive Poisson, parametric bootstrap, zero-truncated Poisson, [PHYS.PHYS.PHYS-DATA-AN] Physics [physics]/Physics [physics]/Data Analysis, Statistics and Probability [physics.data-an]
Document Type:
Academic journal Article
Language:
English
ISSN:
1467-9574
0039-0402
DOI:
10.1111/stan.70010
Rights:
CC BY NC
Accession Number:
edsair.doi.dedup.....bb745843316f9e2a82cbbb9a9f52c4b0
Database:
OpenAIRE

Further Information

This article proposes three new goodness‐of‐fit tests for the zero‐altered Poisson distribution, or equivalently for the positive Poisson distribution, based on positive data, that is, data truncated at 0, whose test statistic is built using a characterization of this law. It is shown that the proposed tests are consistent against any fixed alternative and that the parametric bootstrap method can accurately approximate their null distributions. The power of these tests is investigated through a large simulation study, where it is also compared with some existing tests, showing a very competitive behavior. Several applications to real datasets illustrate the usefulness of the tests.