An example of a beta distribution near the upper boundary (excess kurtosis â (3/2) skewness 2 = 0) is given by Î± = 0.1, Î² = 1000, for which the ratio (excess kurtosis)/(skewness 2) = 1.49835 approaches the upper limit of 1.5 from below.n example of a beta distribution near the lower boundary (excess kurtosis + 2 â skewness 2 = 0) is given by Î±= 0.0001, Î² = 0.1, for which values the expression (excess kurtosis + 2)/(skewness 2) = 1.01621 approaches the lower limit of 1 from above.