Estimation of The Intensity Function of Non-Homogeneous Poisson Process Using Non-Parametric Density Estimation Methods | ||||
| The Egyptian Statistical Journal | ||||
| Article 11, Volume 35, Issue 2, December 1991, Page 324-338 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.1991.315029 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Tarik A. Amira; Mohamed E. Habib; Abdullah Al-Harby | ||||
| Abstract | ||||
| This paper presents a contribution in the non-parametric estimation of the intensity function of non-homogeneous Poison process from the practical point of view. The cumulative distribution functions of the times of successive events are obtained and the method of Monte Carlo is used to simulate the Poison process with intensity function λ(t) = ae^(-bt) The authors selected samples of different sizes from this process and the data of these samples is used to estimate the intensity function by the histogram method and the kernel method with different kerns. The figures of estimates are obtained and the measure of discrepancy D = supt|λ^(t) - λ(t)| is calculated. | ||||
| Keywords | ||||
| Intensity Function; Kernel Method; Non-Homogeneous Poison Process; Non-Parametric Estimation | ||||
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