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MA8704 Probability Theory and Asymptotic Methods (Fall 2015)

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Textbook

Alan F. Karr. Probability, 1993, Springer Verlag.

The book can be downloaded from NTNU freely from Springer Link

http://link.springer.com/book/10.1007%2F978-1-4612-0891-4

Curriculum

Lectures (X = cancelled)

Date Topic Textbook Exercises
25.08 Probability Chapter 1.1-1.2 1.3,1.9
26.08 Chapter 1.3-1.5 1.10, 1.18, 1.19, 1.21
01.09X Random variables Chapter 2 (self-study)
02.09 Chapter 2 (until Sec. 2.2.4)
08.09 Chapter 2 (rest, except 2.7) 2.1, 2.2, 2.3, 2.5, 2.11, 2.12
09.09X Independence Chapter 3 (self-study)
15.09 Chapter 3 (except 3.5, 3.7)
16.09 Expectation Chapter 4 from beginning to Theorem 4.8 3.5, 3.7, 3.9, 3.10, 3.13, 3.14 Solution 3.5
22.09 Chapter 4 from Theorem 4.9 to Theorem 4.19
23.09 Exercises Ch. 3 (1 hr)
29.09 Chapter 4 finish chapter 4.2, 4.14, 4.16, 4.19 Solution 4.2
30.09 Convergence of random variables Chapter 5 from beginning to proof of Theorem 5.8
06.10X Self study Chapter 5
07.10X Self study Chapter 5
13.10 Chapter 5 (until Section 5.2.4)
14.10 Chapter 5 (rest) 5.1, 5.2, 5.5, 5.6, 5.7, 5.11, 5.15, 5.27
20.10 Characteristic Functions Chapter 6
21.10 Chapter 6
27.10X Self study Chapter 6
28.10 Chapter 6
03.11 Finish Chapter 6 6.5, 6.7, 6.11, 6.12
04.11 Classical Limit Theorems Chapter 7
10.11 Chapter 7
11.11 Chapter 7
17.11 Chapter 7 7.2, 7.3, 7.9, 7.12, 7.25
18.11 Final lecture Chapter 1-7

Lecturer

Professor Bo Lindqvist. Office: 1129, Sentralbygg 2. Email: bo@math.ntnu.no

Schedule

Corrections to textbook

Corrections Ch 1-7