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α =0.1 A A B A B C α α+2 = 0.048 AC B 1 α+2 = 0.476 A BC 1 α+2 = 0.476 α α+1 = 0.091 AB AB C α α+2 = 0.048 ABC 2 α+2 = 0.952 1 α+1 = 0.909

Dirichlet-process probability tree

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α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C

(αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC

(αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C

(1

α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC

(1

α+1

)(2

α+2

)= 0.866

2α+2 = 0.952

1α+1 = 0.909

α = 0.1

A

A B

A B C(

αα+1

)(αα+2

)= 0.004

αα+2 = 0.048

AC B(

αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

A BC(

αα+1

)(1

α+2

)= 0.043

1α+2 = 0.476

αα+1 = 0.091

AB

AB C(

1α+1

)(αα+2

)= 0.043

αα+2 = 0.048

ABC(

1α+1

)(2

α+2

)= 0.8662

α+2 = 0.952

1α+1 = 0.909

α = 1.5

A

A B

A B C(

αα+1

)(αα+2

)= 0.257

αα+2 = 0.429

AC B(

αα+1

)(1

α+2

)= 0.171

1α+2 = 0.286

A BC(

αα+1

)(1

α+2

)= 0.171

1α+2 = 0.286

αα+1 = 0.600

AB

AB C(

1α+1

)(αα+2

)= 0.171

αα+2 = 0.429

ABC(

1α+1

)(2

α+2

)= 0.2292

α+2 = 0.571

1α+1 = 0.400

α = 50.0

A

A B

A B C(

αα+1

)(αα+2

)= 0.943

αα+2 = 0.962

AC B(

αα+1

)(1

α+2

)= 0.019

1α+2 = 0.019

A BC(

αα+1

)(1

α+2

)= 0.019

1α+2 = 0.019

αα+1 = 0.980

AB

AB C(

1α+1

)(αα+2

)= 0.019

αα+2 = 0.962

ABC(

1α+1

)(2

α+2

)= 0.0012

α+2 = 0.038

1α+1 = 0.020