MATH 4720
Theory of Statistics
Introduction to classical theory of parametric statistical inference that builds on the material covered in STSCI 3080. Topics include: sampling distributions, principles of data reduction, likelihood, parameter estimation, hypothesis testing, interval estimation, and basic asymptotic theory.
Topics
- Describe the general principles of statistical estimation and testing.
- Design a statistical estimator in a principled way based on a description of a dataset.
- Analyze the theoretical properties of an estimator and a hypothesis test.
- Calculate and correctly interpret confidence intervals, p-values, statistical significance, and power.
- Recognize the general principles underlying common statistical procedures.
Official roster learning outcomes
Prerequisites & course information
STSCI 3080 or MATH 4710 or equivalent; STSCI 2150.
Sources
Catalogue variants
- Theory of Statistics · 4.0 · Undergraduate