Estimating the Rate of Occurrence of Geometric Process With Exponential Distribution

Geometric process (GP) is an important alternative to the Non homogeneous Poisson process (NHPP), in which arrival time is modeled with the trend, in this paper, we consider the problem of parameter estimation for geometric process, when the first arrival is distributed as an Exponential distribution (EXP). Parametric estimation methods including Maximum likelihood (ML), nonparametric estimation method including modified moments (MM), and a semi-parametric estimation method including modified least squares (MLS) chat were used in this paper, to achieve the goal of the paper, the model will be simulated and applied to one the important aspects of life, which is stopping of the gas power plant in Mosul.