Statistical Decision Theory: Concepts, Methods and ...

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Statistical Decision theory : Concepts, Methods and Applications (Special topics in Probabilistic Graphical Models) FIRST COMPLETE DRAFT November 30, 2003 Supervisor: Professor J. Rosenthal STA4000Y Anjali Mazumder 950116380 Part I: Decision theory Concepts and Methods 1Part I: Decision theory - Concepts and Methods Decision theory as the name would imply is concerned with the process of making decisions. The extension to Statistical Decision theory includes Decision making in the presence of Statistical knowledge which provides some information where there is uncertainty. The elements of Decision theory are quite logical and even perhaps intuitive.

Part I: Decision Theory – Concepts and Methods 5 dependent on θ, as stated above, is denoted as )Pθ(E or )Pθ(X ∈E where E is an event. It should also be noted that the random variable X can be assumed to be either continuous or discrete. Although, both cases are described here, the majority of this report focuses

  Statistical, Theory, Decision, Statistical decision theory