Stand table prediction with Reverse Weibull and Extreme Value density functions: some theoretical considerations

A recent paper used the Reverse Weibull and Extreme Value density functions to generate stand tables for even aged plantations. These authors employed the Type I form of the extreme probability density function to fix a, the location parameter of the Reverse Weibull distribution. They should have used the Type III form and this note explains why. Additional work described here shows that an exact sampling distribution for largest values drawn from a Reverse Weibull is available, with location and shape parameters identical to the parent distribution. The scale parameter is shown to be partially dependent on n, the sample size, for any age. Further work is required to ascertain how n should be best evaluated.