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From Measure Theory to CTMDPs Martin Neuhauer
 

Summary: From Measure Theory to CTMDPs
Martin Neuh¨außer
Software Modeling and Verification Group, RWTH-Aachen
November 9th, 2006
Martin Neuh¨außer (MOVES) From Measure Theory to CTMDPs November 9th, 2006 1 / 1
Introduction to Measure Theory Basic Definitions
Measure Theory
Our Setting
Assume a set , called sample space.
Subsets A of are called events.
Idea: Measure the Øsize | probability | volume | lengthÙ of events!
Intuition: Let È be the outcome of an experiment.
Then A is an event if È A can be decided.
Martin Neuh¨außer (MOVES) From Measure Theory to CTMDPs November 9th, 2006 2 / 1
Introduction to Measure Theory Basic Definitions
Fields and ­fields
Definition (Field)
A class of subsets F of is a field iff
1 È F.
2 A È F Ac È F.

  

Source: Ábrahám, Erika - Fachgruppe Informatik, Rheinisch Westfälische Technische Hochschule Aachen (RWTH)

 

Collections: Computer Technologies and Information Sciences