Necessary and Sufficient Conditions for Stochastic Convergence of the Kernel Estimation of the Intensity Function of Non-Homogeneous Poisson Process in R²
Elsayigh, A., Amira, T., Kalantan, Z. (2002). Necessary and Sufficient Conditions for Stochastic Convergence of the Kernel Estimation of the Intensity Function of Non-Homogeneous Poisson Process in R². EKB Journal Management System, 46(2), 167-191. doi: 10.21608/esju.2002.313797
Anga M. Elsayigh; Tarek A. Amira; Zakia E. Kalantan. "Necessary and Sufficient Conditions for Stochastic Convergence of the Kernel Estimation of the Intensity Function of Non-Homogeneous Poisson Process in R²". EKB Journal Management System, 46, 2, 2002, 167-191. doi: 10.21608/esju.2002.313797
Elsayigh, A., Amira, T., Kalantan, Z. (2002). 'Necessary and Sufficient Conditions for Stochastic Convergence of the Kernel Estimation of the Intensity Function of Non-Homogeneous Poisson Process in R²', EKB Journal Management System, 46(2), pp. 167-191. doi: 10.21608/esju.2002.313797
Elsayigh, A., Amira, T., Kalantan, Z. Necessary and Sufficient Conditions for Stochastic Convergence of the Kernel Estimation of the Intensity Function of Non-Homogeneous Poisson Process in R². EKB Journal Management System, 2002; 46(2): 167-191. doi: 10.21608/esju.2002.313797

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

The Egyptian Statistical Journal
Article 5, Volume 46, Issue 2, December 2002, Pages 167-191    PDF (18.22 M)
Document Type: Original Article
DOI: 10.21608/esju.2002.313797
Authors
Anga M. Elsayigh* 1; Tarek A. Amira2; Zakia E. Kalantan
1Dep.of Statistics, Faculty of Science, King Abdul Aziz University, Saudia
2Dep. of Statistics, Faculty o Economics &Political Science, Cairo University, Egypt
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
Intensity Function; Non; Homogeneous Poisson Process; Kernel Method; Uniform Convergence in Probability; Almost Sure Convergence
Statistics
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