Month

Distribution

Parameters

Method

Values of the A-D test

An

p-value

January

BURR XII

shape 1 = −2.170

shape 2 = 5.923

scale = 4.619

MLE

0.501

0.745

February

BURR XII

shape 1 = −2.959

shape 2 = 7.532

scale = 3.726

MLE

0.231

0.979

March

BURR XII

shape 1 = −2.638 shape 2 = 5.755

scale = 3.494

MLE

0.266

0.961

April

GEV

location = 5.311

scale = 3.300

shape = 0.186

L-moment

0.215

0.986

May

GEV

location = 9.590

scale = 6.998

shape = 0.309

L-moment

0.369

0.879

June

BURR XII

shape 1 = −0.370

shape 2 = 1.910

scale = 32.119

MLE

0.215

0.986

July

Log Normal

shape = 0.533

scale = 4.053

threshold = −6.012

MLE

0.264

0.962

August

BURR XII

shape 1 = 0.046

shape 2 = 2.043

scale = 63.253

L-moment

0.297

0.940

September

GEV

location = 27.665 scale = 18.919

shape = 0.236

L-moment

0.352

0.894

October

GEV

location = 14.740

scale = 9.261

shape = 0.386

MLE

0.216

0.985

November

BURR XII

shape 1 = −1.747

shape 2 = 4.296

scale = 9.501

MLE

0.293

0.943

December

BURR XII

shape 1 = −1.796, shape 2 = 5.743

scale = 5.799

L-moment

0.206

0.989