Distributions

Estimates (SEs)

$\mathcal{l}$

$W^{\mathrm{<mo>\; *\; </mo>}}$

$A^{\mathrm{<mo>\; *\; </mo>}}$

K-S (p-value)

MOEFr (α, λ, δ, β)

$\widehat{\alpha }=10.710$ (6.043)

−409.57

0.017

0.115

0.0353 (0.997)

$\widehat{\lambda }=0.333$ (0.089)

$\widehat{\delta }=16.784$ (23.961)

$\widehat{\beta }=20.723$ (17.938)

MOFr (α, λ, δ)

$\widehat{\alpha }=1.553$ (0.099)

−414.063

0.080

0.565

0.053 (0.863)

$\widehat{\lambda }=154.915$ (72.293)

$\widehat{\delta }=0.226$ (0.053)

EFr (α, λ, δ)

$\widehat{\alpha }=15.199$ (5.040)

−415.04

0.115

0.779

0.066 (0.629)

$\widehat{\lambda }=0.345$ (0.030)

$\widehat{\delta }=152.261$ (85.574)

BFr (α, λ, a, b)

$\widehat{\alpha }=59.647$ (36.724)

−416.289

0.149

0.997

0.076 (0.451)

$\widehat{\lambda }=0.094$ (0.021)

$\widehat{a}=45.337$ (22.740)

$\widehat{b}=112.236$ (50.903)

BEFr (α, λ, a, b, δ)

$\widehat{\alpha }=188.782$ (309.397)

−415.858

0.326

2.450

0.991 (0)

$\widehat{\lambda }=190.754$ (329.970)

$\widehat{a}=1.843$ (2.327)

$\widehat{b}=0.049$ (0.036)

$\widehat{\delta }=108.309$ (563.180)

Fr (α, λ)

$\widehat{\alpha }=0.752$ (0.042)

−443.97

1.108

6.574

0.236 (0.000001312)

$\widehat{\lambda }=3.262$ (0.408)