Lecture 1.
(13.01.09) 
Probability theory.
Chapter 1: 1.1, 1.2, 1.3
Exercises: 1.1, 1.2, 1.4, 1.9, 1.11, 1.13

Lecture 2.
(19.01.09) 
Probability theory. Expectations
and moments.
Chapter 1: 1.4, 1.5, 1.6. Chapter 2: 2.2, 2.3.
Exercises: 1.33, 1.38, 1.39

Lecture 3.
(20.01.09) 
Moment generating function.
Distribution of transformations.
Chapter 2: 2.1, 2.3, 2.4.
Exercises: 1.49, 1.52, 2.12

Lecture 4.
(26.01.09) 
Families of distributions.
Chapter 3: 3.1, 3.2, 3.3, 3.5.
Exercises: 2.17, 2.18

Lecture 5.
(27.01.09 
Multiple random variables.
Chapter 4: 4.1, 4.2, 4.3 (something), 4.4 (something), 4.6 (something)
Exercises: 2.1, 2.19, 2.20, 2.25, 2.31

Lecture 6.
(02.02.09) 
Conditional distributions.
Chapter 4: 4.2, 4.4 (Theorems 4.4.3, 4.4.7)
Exercises: 2.15, 3.21, 3.23, 3.25

Lecture 7.
(03.02.09) 
Covariance and correlation.
Inequalities.
Chapter 3: 3.6 (Theorem 3.6.1); Chapter 4: 4.5, 4.7 (Theorems 4.7.3,
4.7.7)
Exercises: 4.1, 4.2, 4.6, 4.13

Lecture 8.
(09.02.09) 
Basic concepts of statistics.
Sums. Convergence.
Chapter 5: 5.1, 5.2, 5.5
Exercises: 4.41, 4.42, 4.43, 4.58, 4.63

Lecture 9.
(10.02.09) 
Convergence.
Chapter 5: 5.5
Exercises: 5.5, 5.15, 5.21

Lecture 10.
(16.02.09) 
Point estimation.
Chapter 7: 7.1, 7.2.1
Exercises: 5.22, 5.23, 5.31

Lecture 11.
(17.02.09) 
MME and MLE. Evaluation of
estimators.
Chapter 7: 7.1, 7.2.1, 7.2.2, 7.3.1; Chapter 10: 10.1.1
Exercises: 7.1, 7.2a, 7.6b,c

Lecture 12.
(23.02.09) 
Evaluation of estimators.
Chapter 7: 7.1, 7.2.1, 7.2.2, 7.3.1; Chapter 10: 10.1.1
Exercises: 7.7, 7.8, 7.11 (in (a) only find the MLE)

Lecture 13.
(24.02.09) 
UMVUE
Chapter 7: 7.3.2
Exercises: 7.40, 7.41, 10.1

Lecture 14.
(02.03.09) 
Sufficient statistics.
Chapter 6: 6.1, 6.2
Exercises: 6.1, 6.3, 6.6

Lecture 15.
(03.03.09) 
Sufficient statistics and UMVUE.
Chapter 6: 6.2; Chapter 7: 7.3
Exercises: 6.19, 7.38

Lecture 16.
(09.03.09) 
Exponential families and UMVUE.
Chapter 3: 3.4; Chapter 6: 6.2; Chapter 7: 7.3
Exercises: 7.37, 10.9b

Lecture 17.
(10.03.09) 
Hypotheses testing.
Chapter 8: 8.1, 8.2, 8.3
Exercises: 6.21, 6.22

Lecture 18.
(16.03.09) 
Hypotheses testing.
Chapter 8: 8.1, 8.2, 8.3
Exercises: 7.47, 8.1

Lecture 19.
(17.03.09) 
Hypotheses testing.
Chapter 8: 8.1, 8.2, 8.3
Exercises: 8.13, 8.14

Lecture 20.
() 
Hypotheses testing.
Chapter 8: 8.1, 8.2, 8.3
Exercises: 8.16, 8.18

Lecture 21.
() 
Hypotheses testing.
Chapter 8: 8.1, 8.2, 8.3
Exercises: 8.15, 8.27

Lecture 22.
() 
Interval estimation.
Chapter 9: 9.1, 9.2
Exercises: 8.19 (equations, arising here, are solved only numerically),
8.31

Lecture 23.
() 
Interval estimation. Asymptotic
evaluations.
Chapter 9: 9.1, 9.2.1, 9.2.2, 9.3.1; Chapter 5: 5.5.4; Chapter
10: 10.1, 10.3, 10.4
Exercises: 8.23, 8.45

Lecture 24.
() 
Asymptotic evaluations.
Chapter 10: 10.1, 10.3, 10.4
Exercises: 9.1, 9.2

Lecture 25.
() 
Asymptotics. Generating random
samples. Bootstrap.
Chapter 5: 5.6; Chapter 10: 10.1, 10.3, 10.4
Exercises: 9.8, 9.13

Lecture 26.
() 
Simple linear regression.
Chapter 11: 11.1, 11.3
Exercises: 10.2, 10.3

Lecture 27.
() 
Simple linear regression.
Chapter 11: 11.3
Exercises: 11.26

Lecture 28.
() 
Simple linear regression. Repetition
Chapter 11: 11.3
Exercises: 

