Abstract: This paper presents a method to determine the unknown parametersfor the clipped Gauss probability density function, used todescribe the turbulent fluctuation of a scalar. The algebraic equations for theunknown parameters are properly expressed in a form convenient to solution.The Newton method, Newton downhill method, and damped Newton method are jointly used in the iterative solution for the equations. The initial values for the iteration are chosen properly. The unknown parameters are obtained as different mean values and mean squares values from fluctuating values of the scalar.