MATH 472 (Spring 2016)

Required textbook: deGroot and Schervish, “Probability and Statistics”.
Grading: Best of two midterms 45%, homework 5%, final 50%.
Midterm 1 will be on February 17 and Midterm 2 will be on March 30.

Final exam material

1. Book sections
Section Homework Lecture problems
9.1 3, 10, 14, 16 1, 6, 11, 15
9.5 5,8,15 1,12,16
9.6 1,9 2,8
9.7 1,15,18 5,6,17
11.1 7,11 1,4
2. Extra credit projects
Haley Data analysis of Google distance
Charles Evaluation of the Normalized Google Distance Wolfram Alpha for sample $S$, population $S$
Daren The number of segments on a Culsia rosea seed capsule
What’s in each section

9.5 ($t$-test)
9.6 (Comparing means of two normals using $t$-test; no unequal variances this year)
9.7 ($F$-distributions)
11.1 (Least squares estimation)

The MLE for the exponential distribution is approximately normal, in accordance with the delta method: example for February 8

Delta method doesn’t work for n=1: example for February 8

Likelihood function for Cauchy distribution (with theta=0): example for February 3

Likelihood function for exponential distribution: example for February 3

Midterm 1 material

Section Homework Lecture problems
7.1 6 3
7.2 10, 3 6, 11
7.3 6, 10, 9, 22, 12 13, 4, 5, 16, 15
7.4 1, 12, 15 8, 10, 13
7.5 3, 13 2, 9

Midterm 2 material

Section Homework Lecture problems
7.6 1, 11, 12, 17, 23 2, 7, 10, 19, 20
8.1 9 7
8.2 5, 2 9, 4
8.3 4 8
8.4 4 1
8.5 8, 9 3, 7
8.7 8, 7, 9 5, 3, 13