452fall24

MATH 452 Fall 2023

syllabus and outline

• syllabus
• table of common dists

lecture notes and videos

No.	date	topics	approx. reading	suggested problems (SP)	notes	quiz problem (QP)
1	R 8-29	statistics	C+B 5.1-5.2 (to Thrm. 5.2.8), 5.4 (to Ex. 5.4.5)	SP1	notes	QP 1 due Sept 5
2	T 9-3	normal statistics	C+B 5.2 (Thrm. 5.2.11 to end), 5.3	—	notes
3	R 9-5	sufficiency	C+B 6.1,6.2 (through Ex. 6.2.10)	SP2	notes	QP 2 due Sept 12
4	T 9-10	MOMs	C+B 6.2 (through Defn 6.2.16), 7.1, 7.2 (through Ex. 7.2.2)	—	notes	—
5	R 9-12	MLEs	C+B 7.2.2 (through Ex. 7.2.13)	SP3	notes	QP 3 due Sept 19
6	T 9-17	more MLEs	C+B 7.2.2 (through Ex. 7.2.13)	—	notes	—
7	R 9-19	evaluation	C+B 7.3.1 (through Ex. 7.3.4), 7.3.2 (through Defn 7.3.7)	SP4	notes	QP 4 due Sept 26
8	T 9-24	UMVUEs and CRLB	—	—	notes	—
9	R 9-26	review	7.3.2 (all)	SP5 SP6	notes	QP 5 due Oct 3
.	T 10-1	midterm 1 (lectures 1-7)		—
10	R 10-3	Rao-Blackwell and Lehmann-Scheffe	7.3.3 (through Ex. 7.3.18)	SP7	notes	QP 6 due Oct 15
11	T 10-8	inequalities	7.3.3 (through Thrm 7.3.19)		notes	—
.	R 10-10	fall break (no classes)
12	T 10-15	convergence	5.5.1, 5.5.2	—	notes	QP7 due Oct 22
13	R 10-17	SLLN and CLT	5.5 (through Thrm 5.5.13), Thrm 5.5.17	SP8	notes	—
14	T 10-22	delta method	5.5 (through Thrm 5.5.13), Thrm 5.5.17	SP9	notes	QP8 due Oct 29
15	R 10-24	asymptotic efficiency	Thrm 5.5.14 through Ex. 5.5.25	—	notes	—
16	T 10-29	hypothesis testing	5.5.4 (through Ex. 5.5.27)		notes	QP9 due Nov 5
.	R 10-31	review	8.1, 8.3 (through Defn 8.3.6)	—
.	T 11-5	Election Day (no classes)
.	R 11-7	midterm 2 (lecture 8-15)
17	T 11-12	more LRT	8.2.1	SP10	notes	QP10 due Nov 19
18	R 11-14	Neyman-Pearson and Karlin-Rubin	8.3 (through Ex 8.3.7), 8.3.2 (through Ex. 8.3.15)	—	notes
19	T 11-19	interval estimation	8.3.2 (through Thrm 8.3.17)	—	notes	QP11 due Dec 3
20	R 11-21	pivoting	8.3.4 (through Ex. 8.3.29), 9.1, 9.2.1	SP11	notes
21	T 11-26	thanksgiving treat			notes
.	R 11-28	thanksgiving	7.2.3			—
22	T 12-3	p-values and bayesian inference	7.2.3	—	notes	—