A Characterization of Power Method Transformations through L-Moments

Table 3

L-moment parameters (𝜆,𝜏) and percentiles for the Beta (𝛼=5,𝛽=4) distribution and power method approximations in Figure 3.

		Percentiles
Parameters	%	Beta (Exact)	Third order	Fifth order
𝜆1=0.555556	1	0.1982	0.1679	0.1983
𝜆2=0.0895836	5	0.2892	0.2874	0.2892
𝜏3=−.0251716	25	0.4445	0.4507	0.4445
𝜏4=.0921653	75	0.6709	0.6648	0.6709
𝜏5=−.0066496	95	0.8071	0.8097	0.8071
𝜏6=.0284846	99	0.8791	0.9072	0.8789