Instructor |
Orlando Merino, merino@math.uri.edu, 874-4442,
Tyler Hall 220 |
Term |
Spring 2006 |
Text |
Introduction to Mathematical Statistics,
by R. J. Larsen and M. L. Marx, 3rd Edition, Prentice Hall, ISBN: 0 13 922303 7 |
Topics |
Most of chapters 5-12 of the textbook: Estimation Theory, Maximum Likelihood, Cramer-Rao bounds, Hypothesis testing, Type I and Type II errors, point estimates for normal distribution, confidence intervals, chi^2, F, t distributions, Types of data, two sample problems, Regression, analysis of variance. |
Evaluation |
Weekly homework (25%), quizzes (25%), one midterm
exam (25 %), a comprehensive final exam (25 %) Note: 75% of the final exam will be on sections discussed after the midterm |
On the course |
MTH 452 is an introduction
to the mathematics of statistical analysis. It assumes that
you have had a course in probability equivalent to MTH 451.
You will learn the theoretical basis for statistics and the most
important examples of how the fundamental ideas give rise to
practical statistical methods. While we will work with data on occasion,
the main emphasis will be on the underlying mathematics, with
an eye toward understanding the rationale for statistical methods
whether they are used in the social sciences, physical sciences,
or engineering. Since most statistical methods are based on ideas
from probability theory, we will make a lot of use of your knowledge
of probability. This course also provides substantial preparation for actuarial science and the actuarial exams. More information on this will be provided upon request. |
day/Month | Events + Evaluation | Section planned |
Section covered |
Problems - |
Tu. Jan
24 Th. Jan 26 |
5.1, 5.2 5.2, 5.3 |
p. 316: 1, 3, 6, 8, 9, 12; p.322: 14, 15, 21, 23 |
||
Tu. Jan 31 Th. Feb 2 |
HW + Quiz |
5.3 5.4 (all) |
p. 333: 2, 10, 13, 17, 23 p. 344: 3, 5, 9; p. 349: 14, 15 |
|
Tu. Feb 7 Th. Feb 9 |
HW + Quiz |
5.5 5.6 5.7 |
p. 353: 2, 3, 4, 5 p. 356: 2, 3; p. 358: 6, 8, 10 p. 361: 4 (there is a hint for #4) |
|
Tu. Feb 14 Th. Feb 16 |
HW + Quiz |
6.2 6.3 |
p. 374: 1, 2, 4, 6, 7, 10 p. 380: 1, 2, 4, 9 |
|
Tu. Feb 21 Th. Feb 23 |
HW + Quiz |
6.4 Neyman-Pearson L. |
Homework (pdf document) |
|
Tu. Feb 28 Th. Feb 30 |
HW + Quiz |
7.2 7.3 |
7.2.1, 7.3.2, 7.3.8, 7.3.11 |
|
Tu. Mar 7 Th. Mar 9 |
HW + Quiz |
7.3 7.4 7.5 |
7.3.16, 7.3.19, 7.4.2, 7.4.13, 7.4.14 7.5.1, 7.5.2, 7.5.12, 7.5.13 |
|
Tu. Mar 14 Th. Mar 16 |
Spring
Break |
SPRING BREAK |
||
Tu. Mar 21 Th. Mar 23 |
HW + Quiz
MIDTERM TEST Thursday |
9.2, 9.3 TEST |
9.2.1, 9.2.4, 9.3.3, 9.3.4 |
|
Tu. Mar 28 Th. Mar 30 |
HW + Quiz |
9.4, 9.5 10.2 |
9.4.4, 9.5.3, 9.5.8, 9.5.10 10.2.1, 10.2.2, 10.2.4, 10.2.7 |
|
Tu. Apr 4 Th. Apr 6 |
HW + Quiz |
10.3 10.4 |
10.3.1, 10.3.2, 10.3.4, 10.3.5, 10.3.6 10.4.1, 10.4.5, 10.4.6, 10.4.10 |
|
Tu. Apr 11 Th. Apr 13 |
HW + Quiz |
10.5 11.2 |
10.5.3, 10.5.4, 10.5.5 11.2.11, 11.2.21, 11.2.29 |
|
Tu. Apr 18 Th. Apr 20 |
HW + Quiz |
11.3 (up to p.595) 11.3 (p.598-601) 11.4 (p. 606-611) |
11.3.1, 11.3.2, 11.3.3, 11.3.5, 11.3.9 11.3.16, 11.3.18, 11.3.19, 11.3.25 11.4.1, 11.4.2, 11.4.7, 11.4.8 |
|
Tu. Apr 25 Th. Apr 27 |
HW + Quiz |
11.5 12.2 |
11.5.1, 11.5.4, 11.5.7, 11.5.8, To be announced |
Week / Topics |
Screen Version |
Print Version |
Week 1 - Sections
5.1, 5.2, 5.3 |
mth452Sec5.1+5.2+5.3.pdf |
mth452Sec5.1+5.2+5.3print.pdf |
Week 2 - Sections 5.3,
5.4 |
mth452Sec5.4.pdf |
mth452Sec5.4print.pdf |
Week 3 - Sections 5.5,
5.6, 5.7 |
mth452Sec5.5+5.6+5.7.pdf |
mth452Sec5.5+5.6+5.7print.pdf |
Week 4 - Sections 6.2+6.3 |
mth452Sec6.2+6.3.pdf |
mth4452Sec6.2+6.3print.pdf |
Week 5 - Sections 6.4+6.5 |
mth452Sec6.4+6.5.pdf |
mth452Sec6.4+6.5print.pdf |
Week 6 - Sections 7.2,
7.3 |
mth452Sec7.2.pdf mth452Sec7.3.pdf |
mth452Sec7.2print.pdf mth452Sec7.3print.pdf |
Week 7 - no handouts |
||
Week 8 - Sections 9.2,
9.3 |
mth452Sec9.2-9.3.pdf |
mth452Sec9.2-9.3print.pdf |
Week 9 - Sections 9.4,
9.5 |
mth452Sec9.4-9.5.pdf |
mth452Sec9.4-9.5print.pdf |