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ABSTRACT
This article discusses applications of Charlier polynomials when checking how well classic Poisson model fits the data. We show that smooth components pertaining to the polynomials can be effectively used in preliminary analysis of data at hand and we propose and discuss some tests based on them. Our extensive simulations shed new light on power behavior of the best tests in the area.
MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The authors are very grateful to a reviewer for the insightful comments that led to the improvement of the presentation. The authors also thank Prof. C. C. Kokonendji for an off-print of his article.
Funding
This work was supported by Grant N N201 608440 from the National Science Centre, Poland. Calculations have been carried out in Wrocław Centre for Networking and Supercomputing (http://www.wcss.wroc.pl), grant No. 199.