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We introduce a new parametrization for the two-parameter species samplingmodel with {\it finite} but {\it random} number of different species recentlyintroduced in Gnedin (2010a). We show the reparametrization yields arepresentation in terms of generalized Waring mixture of Fisher speciessampling models and derive the structural distribution of the model.

A new parametrization of the Gnedin-Fisher species sampling model