Parameter Estimation Method for the Two Parameter Gamma Distribution Based on Transformation

摘要

Two parameter gamma distribution is widely used to model positively-skewed distributions. In this paper, an alternative closed-form estimator based on transformation to a normal distribution is proposed. The results of a simulation study to compare the new estimator with previously reported ones show that it performed well in terms of root mean square errors, and parameter evaluation using two real-life datasets supported these findings. It is evident that the proposed TM estimator is a useful tool for determining gamma distribution parameters.