The course intends to provide a general overview of the structure and the representation of preferences using Bayesian Statistics in the context of multi criteria decision making, from the study of aggregation functions to the Analytic Hierarchy Process (

- Optimal statistical decisionsby DeGroot, Morris H.

Published by : John Wiley & Sons, Inc. (New Jersey)

- tochastic Simulation Optimizationby Chen, Chun Hung

Publisher: World Scientific Publishing Co.

ISBN: 9789814282659 - Multiparametric Statisticsby Serdobolskii, Vadim Ivanovich

Publisher: Elsevier

ISBN: 9780080555928

- Utility.
- Rewards.
- Consequences and decision function.
- Game theoretic interpretation of Statistical estimation and testing.
- Admissibility of Bayesian procedures.
- The complete class theorem.
- The minimax theorem.
- Randomization in one game theory.
- Difference from Bayesian approach.
- Invariance and minimaxity.
- Admissibility of invariant rules.
- Location and scale invariance.
- Pitman estimators.

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- Use of Statistics in Forensic Scienceby Aitken, C. G.

Stoney, D. A. - Risk Analysis in Theory and Practiceby Chavas, Jean-Paul

Publisher: Elsevier

ISBN: 9780080516332 - Rational Decisionsby Binmore, Ken

Publisher: Princeton University Press

ISBN: 9781400833092