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There have been various studies in the literature on investigating the relationship between a count response and several covariates. Most researchers study count variables and use traditional methods (i.e. generalized linear models- GLM). However, GLM is limited when dealing with outliers and nonlinear relationships. Generalized Additive Models (GAM) is an extension of GLM, where the assumptions on the link functions and components are additive and smooth, respectively. Our aim is to propose a flexible extension of GLM and demonstrate the usefulness and performance of GAMs for the analysis of Poisson data set including outliers in the response variable through extensive Monte Carlo Simulations and using three applications.


Poisson Spline estimation Deviance Additive

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Author Biography

Betul Kan Kilinc, Eskisehir Technical University Science Faculty Department of Statistics 26470 Eskisehir

Department of Statistics
How to Cite
Kan Kilinc, B., & Debessay Asfha, H. (2019). Penalized Splines Fitting for a Poisson Response Including Outliers. Pakistan Journal of Statistics and Operation Research, 15(4), 979-988.