New Approaches on Parameter Estimation of the Gamma Distribution

This paper discusses new approaches to parameter estimation of gamma distribution based on representative points. In the first part, existence and uniqueness mean squared error points (MSE-RPs) are discussed theoretically. second by comparing three types points, we show that MSE-RPs perform well in simulation. The last part proposes a Harrel–Davis sample standardization technique. Simulation studies reveal standardized samples can be used improve performance or generate MSE-RPs. addition, real data analysis illustrates proposed technique yields efficient estimates for parameters.