Actuarial Statistics is a developing branch of Statistics, which deals with the methods of mathematical related Insurance Policies. Insurance is a common way of managing risks and the insurance industry has grown rapidly over time. The level Science and Mathematics, along with their potential range of applications and identifying, quantifying, managing the impact of Insurance consider components of management, such premiums- the main income of businesses, reserves, investment planning etc. Also, estimating claims play an important part in each component in the insurance In this research paper Homogeneous Poisson Process and Homogeneous Poisson Process as a model life counting process. The of study is to estimate the parameters of these processes for the settled by Life Insurance Corporation of India in Vidarbha region, State of Maharashtra, India.

Keywords : Life Insurance Claim Counting Process, Homogeneous Poisson Process and Non- Homogeneous Poisson Process, Estimating Function.