Necessary and Sufficient Conditions for Stochastic Convergence of the Kernel Estimation of the Intensity Function of Non-Homogeneous Poisson Process in R²

Document Type : Original Article

Authors

1 Dep.of Statistics, Faculty of Science, King Abdul Aziz University, Saudia

2 Dep. of Statistics, Faculty o Economics &Political Science, Cairo University

Abstract

The intensity function of the non-homogeneous Poisson process, that is defined on R² will be estimated by using kernel method, and it will be searched for necessary and sufficient conditions to have a uniform convergence in probability, almost sure, and almost completely sure.
 

Keywords