On The Continuous Poisson Distribution

Salah H Abid^1, and Sajad H Mohammed¹

¹Mathematics Department, Education College, Al-Mustansiriya University, Baghdad, Iraq

Cite this paper:
Salah H Abid and Sajad H Mohammed. On The Continuous Poisson Distribution. International Journal of Data Envelopment Analysis and *Operations Research*. 2016; 2(1):7-15. doi: 10.12691/ijdeaor-2-1-2

Abstract

There are no scientific works deal directly and Extensively with the continuous Poisson distribution (CPD). There are some of rare allusions here and there. In this paper we will take this issue on our responsibility. We consider here the continuous Poisson distribution. Different methods to estimate CPD parameters are studied, Maximum Likelihood estimator, Moments estimator, Percentile estimator, least square estimator and weighted least square estimator. An empirical study is conducted to compare among these methods performances. We also consider the generating issue. Other empirical experiments are conducted to build a model for bandwidth parameter which is used for Poisson density estimation.

Keywords:
Continuous Poisson distribution MLE Percentile estimator bandwidth selection density estimation AR(1) model

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