STATS 300A: Theory of Statistics
Finite sample optimality of statistical procedures; Decision theory: loss, risk, admissibility; Principles of data reduction: sufficiency, ancillarity, completeness; Statistical models: exponential families, group families, nonparametric families; Point estimation: optimal unbiased and equivariant estimation, Bayes estimation, minimax estimation; Hypothesis testing and confidence intervals: uniformly most powerful tests, uniformly most accurate confidence intervals, optimal unbiased and invariant tests.nnnPrerequisites: Real analysis, introductory probability (at the level of
STATS 116), and introductory statistics.
Terms: Aut
| Units: 2-3
Instructors:
Mackey, L. (PI)
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