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STAT 456  Bayesian Analysis  Units: 3.00  
An introduction to Bayesian analysis and decision theory; elements of decision theory; Bayesian point estimation, set estimation, and hypothesis testing; special priors; computations for Bayesian analysis. Given Jointly with STAT 856.
Learning Hours: 120 (36 Lecture, 84 Private Study)  
Requirements: Prerequisite STAT 463 or permission of the Department.  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Demonstrate proficiency in finding the Fisher information contained in the data about unknown parameters.
  2. Find Bayesian estimators for different functions of unknown parameters, under various loss functions.
  3. Find the best unbiased estimators in the Hardy-Weinberg genetic equilibrium model.
  4. Identify least informative prior distributions of unknown parameters and the resulting minimax admissible procedures.