Details

Autor(en) / Beteiligte

• Didelez, Vanessa

Titel

Graphical models for marked point processes based on local independence

Ist Teil von

• Journal of the Royal Statistical Society. Series B, Statistical methodology, 2008-02, Vol.70 (1), p.245-264

Ort / Verlag

Oxford, UK: Oxford, UK : Blackwell Publishing Ltd

Erscheinungsjahr

2008

Link zum Volltext

Quelle

Business Source Ultimate

Beschreibungen/Notizen

• A new class of graphical models capturing the dependence structure of events that occur in time is proposed. The graphs represent so-called local independences, meaning that the intensities of certain types of events are independent of some (but not necessarilly all) events in the past. This dynamic concept of independence is asymmetric, similar to Granger non-causality, so the corresponding local independence graphs differ considerably from classical graphical models. Hence a new notion of graph separation, which is called δ-separation, is introduced and implications for the underlying model as well as for likelihood inference are explored. Benefits regarding facilitation of reasoning about and understanding of dynamic dependences as well as computational simplifications are discussed.