Fall 2002 Syllabus for Statistics 101H

Schedule

• Sep 9^th: Section 1.1, 1.2 and 1.3 of Pitman (guest lecturer: Paul Shaman)
• Sep 11^th: Section 1.4 (guest lecturer: Paul Shaman)

• Sep 16^th: The theory behind probability: Set notation from handout
• Sep 18^th: Homework day (Homework 1 due, solutions)

• Sep 23^rd: More theory: Algerbra of sets (2.4 and 2.5 of handout from Helms' book)
• Sep 25^th: Rules of probability (2.6 of Helms, also read 1.5 and 1.6 of Pitman) (Homework 2 due, solutions)

• Sep 30^th: 0-1 law and questions about the homework
• Oct 2^nd: Pitman 2.1, 2.2 (Homework 3 due, solutions)

• Oct 7^th: Finish 2.1, 2.2 (do Homework 4 but it won't be collected, solutions)
• Oct 9^th: First midterm

• Oct 14^th: Pitman 2.3: Proving the Central Limit Theorem (important but ugly)
• Oct 16^th: Pitman 3.1: Random Variables

• Oct 21^st: Pitman 3.1: cont'd
• Oct 23^th: Pitman 3.2: Expectations (Homework 5)

• Oct 28^th: Pitman 3.2: cont'd
• Oct 30^th: 3 proofs of Markov's inequality and start 3.3 (Homework 6)

• Nov 4^th: 3.3 cont'd
• Nov 6^th: Law of averages and start 3.4 (Homework 7)

• Nov 11^th: 3.4 continued (Homework 8)
• Nov 13^th: Second midterm

• Nov 18^th: 3.5 Poisson and 4.1 Densities
• Nov 20^th: 4.2 Exponential distribution

• Nov 25^th: 6.1 conditional distributions
• Nov 27^th: 6.2 conditional expectation (Homework 9)

• Dec 2^nd: Knowledge can be represented by sigma-algebras
• Dec 4^th: Pure knowledge

• Dec 9^th: Game theory equlibria (Homework 10)

• Dec 18^th: 4:00 - 6:00. Final exam: (practice problems) (In our usual classroom--F36.)