Abstract
The Fisher-Tippett type II distribution is presented in a three-parameter formula, which converges to the FT type I as the shape parameter approaches infinity. The best plotting position formula with least bias of return values is selected on the basis of Monte Carlo simulations with 10000 samples for each sample size and shape parameter. The confidence intervals of the estimates of the scale and location parameters based on the least square method are tabulated for the shape parameters of 2.5, 3.33, 5.0, and 10.0. An empirical formula is derived for the standard error of the return values for the above values of the shape parameter. The range of variation of the correlation coefficient between the extreme data and its reduced variate is evaluated for selection of the best fitting distribution.
