Estimator Original data Modified data
\(\widehat{\alpha}\) 90% CI KS \(p\)-value\(^*\) \(\widehat{\alpha}\) 90% CI KS \(p\)-value\(^*\)
MLE 1.22 [1.05; 1.39] 0.05 0.70 1.20 [1.03; 1.37] 0.05 0.71
\(T, \, a = b = 0\) 1.22 [1.05; 1.39] 0.05 0.70
\(T, \, a = b = 0.10\) 1.22 [1.04; 1.41] 0.05 0.61 1.22 [1.04; 1.41] 0.05 0.69
\(T, \, a = 0.05, b = 0.15\) 1.22 [1.03; 1.41] 0.05 0.60 1.22 [1.03; 1.41] 0.05 0.68
\(W, \, a = b = 0\) 1.22 [1.05; 1.39] 0.05 0.70
\(W, \, a = b = 0.10\) 1.22 [1.04; 1.40] 0.05 0.68 1.22 [1.04; 1.40] 0.05 0.74
\(W, \, a = 0.05, b = 0.15\) 1.21 [1.03; 1.39] 0.05 0.59 1.21 [1.03; 1.39] 0.05 0.68