MATH567A

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MATH567A - Theoretical Statistics I

MathematicsGraduateUA - UA General

Course ID

021124

Course Description

[Taught Spring semester in even-numbered years] Basic decision theory. Bayes' rules for estimation. Admissibility and completeness. The minimax theorem. Sufficiency. Exponential families of distributions. Complete sufficient statistics. Invariant decision problems. Location and scale parameters. Theory of nonparametric statistics. Hypothesis testing. Neyman-Pearson lemma. UMP and UMPU tests. Two-sided tests. Two-sample tests. Confidence sets. Multiple decision problems.

Min Units

3

Max Units

3

Repeatable for Credit

No

Grading Basis

GRD - Regular Grades A, B, C, D, E

Career

Graduate

Course Attributes

CE - CL (Cross Listed), GIDP - STATD (Statistics and Data Science)

Course Requisites

MATH 563.

Cross Listed Courses

May be convened with

Component

Lecture

Optional Component

No