Documents, such as those seen on Wikipedia and Folksonomy, have tended to be assigned with multiple topics as a meta-data. There-fore, it is more and more important to analyze a relationship be-tween a document and topics assigned to the document. In this paper, we proposed a novel probabilistic generative model of doc-uments with multiple topics as a meta-data. By focusing on mod-eling the generation process of a document with multiple topics, we can extract specific properties of documents with multiple top-ics. Proposed model is an expansion of an existing probabilistic generative model: Parametric Mixture Model (PMM). PMM mod-els documents with multiple topics by mixing model parameters of each single topic. Since,however, PMM assigns t...