Math 183

Math 183 - Statistical Methods (Fall 2009)

Lecture: MWF 1pm at SOLIS 104 (sections each Thursday)

Instructor:

Prof. Dimitris Politis
Email: dpolitis@ucsd.edu
Tel.: 534-5861 Office: APM 5701
Office hours: MWF 2:15-3:15pm or by appointment

TAs

Alex Brik
Email: abrik@math.ucsd.edu
Office: APM 5760
Office hours: M 4-6pm and Thu 1-3pm --- EXTRA office hours on Sunday Dec. 6 from 4-6pm!

Walter Faig
Email: wfaig@math.ucsd.edu
Office: APM 6446
Office hours: M 10-11am, Tu 12-2pm, F 10-11am --- EXTRA office hours on Sunday Dec. 6 from 10-noon!

Homework

Homework will be assigned each Friday, and will be due the following Thursday in Section or dropped at the MATH183 HW box at APM's 6th floor by 11:59pm on that Thursday; late homework will not be graded.

Weekly quizes

Every Friday, a 20 minute quiz will be given. The quizes are a most important part of the class; they will focus on the examples discussed in class as well as the most recent homework (that was handed-in and discussed in the last section). Quizes can not be made up if missed; however, the two lowest quiz scores will be dropped before calculating the quiz average for the final class grade. For the quizes, please bring a blue book and your calculator; blue books can be re-used for the quizes to save some trees.

Final exam

The final exam will be comprehensive, covering the material from the whole course with particular emphasis on the examples discussed in class, and the homework problems. For the final exam, please bring 1-2 blue books, your calculator, and a crib sheet (2 sides OK!)

The 183 final is scheduled for Monday, Dec. 7 from 11:30am to 2:30pm.

Web resource

SticiGui (an interactive statistics textbook)

Textbook

An Introduction to Mathematical Statistics and its Applications., 4th ed., by Larsen and Marx; Prentice Hall, 2006.

Course Webpage

The course webpage will be updated regularly and students are advised to check it often. In particular, the webpage will list: the week's assigned homework, as well as the assigned readings from the textbook and references to SticiGui chapters.

Course Grade

Homework: 20%

Quizes: 40% - bring a blue book--blue books for quizes can be re-used

Final Exam: 40% - bring blue books

No Midterms!

Assignments/announcements:

Week 1. Larsen/Marx: Ch. 2.1 to 2.3. SticiGui: Ch. 11 and start of Ch. 14 (axioms of probability)
HW 1 (due Thu Oct 1): Larsen/Marx: Ch. 2.2 exercises 13,19,20,21,31,32. AND Ch. 2.3 exercises 6, 9,10,12.
Week 2. Larsen/Marx: Ch. 2.4 to 2.5. SticiGui: Ch. 15 (Let's make a deal!)
HW 2 (due Thu Oct 8): Larsen/Marx: Ch. 2.4 exercises 1,7,22,29, 44, 48 and Ch. 2.5 exercises 1,2,4,17.
Week 3. Larsen/Marx: Ch. 2.6 to 2.8. SticiGui: Ch. 9
HW 3 (due Thu Oct 15): Larsen/Marx: Ch. 2.6 exercises 4,17,34,55,58 and Ch. 2.7 exercises 4,8,14,16,17.
Week 4. Larsen/Marx: Ch. 3.1 to 3.4. SticiGui: Ch. 17
HW 4 (due Thu Oct 22): Larsen/Marx: Ch. 3.2 exercises 4,8,22,23,25, Ch. 3.3 exercises 3,12 and Ch. 3.4 exercises 1,5.11.
Week 5. Larsen/Marx: Ch. 3.5 to 3.6. SticiGui: Ch. 18 and 19
HW 5 (due Thu Oct 29): Larsen/Marx: Ch. 3.5 exercises 1,9,10,11,27,29 Ch. 3.6 exercises 1,4,11,16. Check out: Handout 1
Week 6. Larsen/Marx: Ch. 3.7 (focus on independent case), 3.8, 3.9 and 3.11; SticiGui: Ch. 18 and 19
HW 6 (due Thu Nov 5): Larsen/Marx: Ch. 3.7 exercises 39, 48, 50 [Ex. 39 has a typo: the pdf should read f(x,y)=lambda^2 * exp (-(x+y)*lambda). For ex. 48 of Ch. 3.7 it may be helpful to assume that g(x) and h(x) are monotone increasing functions.] Ch. 3.8 exercises 2, 5. Ch. 3.9 exercises 1,5,7, 13, 16. Check out: Handout 2 and Handout 3
No office hours for Alex Brik on Thu Nov 5. Extra office hour of D.Politis on Fri Nov 6 at noon.
Week 7. Larsen/Marx: Ch. 4.3, and 5.1,5.2; SticiGui: Ch. 20--22.
HW 7 (due Thu Nov 12): Larsen/Marx: Ch. 4.3 exercises 2,13,17,32,34. NO CLASS WED NOV. 11---and HW 7 is smaller as a consequence (and will receive half the weight as compared to other HW sets).
Week 8. Larsen/Marx: Ch. 5.1-5.4 and 5.7. SticiGui: Ch. 20--22.
HW 8 (due Thu Nov 19): Larsen/Marx: Ch. 5.2 exercises 2,3,14,22; Ch. 5.3 exercises 3,4,22; Ch. 5.4 exercises 12,17 and Ch. 5.7 exercise 1. Check out: Handout 4 and Handout 5
Weeks 9 and 10. Larsen/Marx: Ch. 5.3-5.4 and 6.1-6.4. SticiGui: Ch. 20--22.
NO HW DUE ON THANKSGIVING--Have a good break!
HW 9 (due Thu Dec 3): Ch. 5.3 exercises 9, 12, 15; ch. 6.2 exercises 1,3,8; ch. 6.3 exercises 3,5; ch. 6.4 exercises 3,4.

EXTRA office hours on Sunday Dec. 6: Walter Faig: 10-noon and Alex Brik: 4-6pm; the last HW can be picked up from Alex and/or Walter at that time