A Characterization of Power Method Transformations through L-Moments

Table 2

L-moment ratios (𝜏) and their estimates (𝑡) for the pdf in Figure 1. Each estimate and bootstrap confidence interval (C.I.) was based on resampling 25,000 statistics. Each sample statistic was based on a sample size of 𝑛=200.

Parameter	Est. (95% C.I.)	Standard error
L-skew: 𝜏3=.313041	𝑡3: 0.310 (.309,.311)	0.000407
L-kurtosis: 𝜏4=.333498	𝑡4: 0.332 (.332,.333)	0.000268
𝜏5=.0986303	𝑡5: 0.097 (.097,.098)	0.000320
𝜏6=.157110	𝑡6: 0.156 (.156,.157)	0.000252