Scandinavian Journal of Statistics, Vol. 18, No. 1 (1991), pp. 77-89 (13 pages) By generalizing the inverse Gaussian distribution function, we obtain a new three-parameter family of distributions ...

In cases where the utility function is increasing with upper and lower bounds then the utility function can be characterized by a distribution function, and we can take advantage of the various ...

A Gaussian equation was used along with an “IF” function to zero out the center values. The plots for this bi-modal distribution reveals an intuitive understanding of the method (Fig. 3).

The function can be used to calculate all moments. For instance, a function with modulus or peak value, standard deviation, and mean of the distribution as parameters requires three moments for ...