Convergence gamma distribution to norma distribution by using differential geometry

Abstract EN

In this research, we use the differential geometry to show that gamma distribution converges to normal distribution by connecting between differential geometry and statistics.

We apply some formulas to calculate the Gaussian curvature for gamma distribution in the case of parametric lines are not orthogonal and show that if it is convergent to normal distribution by comparing the value of Gaussian curvature for gamma distribution with the value of Gaussian curvature for the normal distribution.