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The probability of ", Cell[BoxData[ FormBox[ SuperscriptBox["n", RowBox[{"(", "k", ")"}]], TraditionalForm]],ExpressionUUID-> "abd2a455-fe06-495b-a03c-84cfc45ddf2d"], "is multinomial with parameter vector ", Cell[BoxData[ FormBox[ RowBox[{ SuperscriptBox["\[Theta]", RowBox[{"(", "k", ")"}]], "=", SubscriptBox[ RowBox[{"(", SubsuperscriptBox["\[Theta]", "i", RowBox[{"(", "k", ")"}]], ")"}], RowBox[{"i", "\[Element]", "\[ScriptCapitalA]"}]]}], TraditionalForm]], ExpressionUUID->"71bcc1d2-7a43-41a2-b1b4-b388e436ad44"], ", which is itself Dirichlet distributed ", Cell[BoxData[ FormBox[ RowBox[{ SuperscriptBox["\[Theta]", RowBox[{"(", "k", ")"}]], "\[Distributed]", RowBox[{"Dir", "(", RowBox[{"\[Theta]", "|", "\[Alpha]"}], ")"}]}], TraditionalForm]], ExpressionUUID->"369a92af-1e70-40f6-9e07-63d9fd046fed"], ", where ", Cell[BoxData[ FormBox["\[Alpha]", TraditionalForm]],ExpressionUUID-> "1c5b9f9e-cebf-4c9e-9fd7-ccbc2c545f0c"], " are pseudocounts. The posterior of of ", Cell[BoxData[ FormBox[ SuperscriptBox["\[Theta]", RowBox[{"(", "k", ")"}]], TraditionalForm]],ExpressionUUID-> "04472754-5b0f-41d7-988e-b4941ec46d0d"], " given ", Cell[BoxData[ FormBox[ SuperscriptBox["n", RowBox[{"(", "k", ")"}]], TraditionalForm]],ExpressionUUID-> "4c658ee2-5274-4326-b644-046b3f0bcc53"], " and ", Cell[BoxData[ FormBox["\[Alpha]", TraditionalForm]],ExpressionUUID-> "9f34032a-1c34-4d50-b6d9-e2102f0daff5"], " is Dirichlet with parameters ", Cell[BoxData[ FormBox[ RowBox[{ SuperscriptBox["\[Alpha]", "\[Prime]"], "=", SubsuperscriptBox[ RowBox[{"{", RowBox[{ SubscriptBox["\[Alpha]", "i"], "+", SubsuperscriptBox["n", "i", RowBox[{"(", "k", ")"}]], "-", "1"}], "}"}], RowBox[{"i", "=", "0"}], "10"]}], TraditionalForm]],ExpressionUUID-> "de16f808-6673-4fa1-8dcd-4137ce413bc7"], ". 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