What Determines EP Curve Shape? DOI: http://dx.doi.org/10.5772/intechopen.82832

#### Figure 5.

SF contour plot of Beta distribution. The horizontal axis is α and the vertical axis is β.


#### Table 2.

Lower bound of SF for some well-known distributions.

3.63–8.16, being the top four-parameter-distribution in another distribution fit case study that has SF 4.58.

The Alpha-Skew-Normal Distribution from [13] has minimum SF4.95061 when α is 2.07764, from its proposition 2.3, is thus also not eligible for NATH.

The global lower bound of SF for parametric distribution can be used to filter out those distributions whose values are larger than the losses data SF, so that we can focus on distributions that do not violate the bound. In the following sections we will study typical distribution SF bound, beginning with the Beta distribution.
