Statistical Inference

STA 332

The course previously numbered STA 432 has been renumbered to STA 332, it remains cross-listed as Math 343. This change went into effect 2025-08-15.**


Definition of a random sample, statistical model, and likelihood. Definition and properties of estimators and sufficient, ancillary, and complete statistics. Point estimation: comparing estimators in a decision-theoretic framework (loss functions, risk, mean squared error) and optimality results (Uniform Minimum Variance Estimators, Fisher's information, Cramér-Rao bound). Hypothesis testing: comparing testing procedures and constructing optimal tests within the Neyman-Pearson framework. Tests based on the likelihood ratio. Confidence intervals: construction based on inverting tests. Asymptotic considerations: consistent and asymptotically efficient estimators. Likelihood-based asymptotic tests and confidence intervals.

Prerequisites

Prerequisite: STA 240L, 230, 230S or MATH 231, and MATH 202, 202D, 212A, 212D, 219, or 222. Not open to students with credit for STA 432, 532, or 732

Curriculum Codes
  • QC
  • QS
Cross-Listed As
  • MATH 343
Typically Offered
Fall and/or Spring