On The Continuous Poisson Distribution

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