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| STAT 41700 - Statistical Theory |
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Credit Hours: 3.00. An introduction to the mathematical theory of statistical inference, emphasizing inference for standard parametric families of distributions. Properties of estimators. Maximum likelihood estimation. Sufficient statistics. Hypothesis tests and confidence intervals. Distribution theory for common statistics based on normal distributions, including linear regression. Bayesian Statistics include posterior inference, posterior mean, maximum a-posteriori estimator, credible intervals, and Bayesian hypothesis testing.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Statistics Course Attributes: Upper Division May be offered at any of the following campuses: IUPUI West Lafayette Learning Outcomes: 1. Understand and able to use inference for standard parametric families of distributions; properties of estimators; Bayes and maximum likelihood estimation; sufficient statistics; properties of test of hypotheses; distribution theory for common statistics based on normal distributions. Prerequisites: (Undergraduate level STAT 35000 Minimum Grade of C- or Undergraduate level STAT 35500 Minimum Grade of C- or Undergraduate level STAT 51100 Minimum Grade of C-) and (Undergraduate level MA 41600 Minimum Grade of C- or Undergraduate level STAT 41600 Minimum Grade of C- or Undergraduate level STAT 51600 Minimum Grade of C-) |
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