Basics of Mathematical Statistics

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TMS101 part B: The Basics of Mathematical Statistics

Lecture notes

Lectures 1-2: Probability rules (Ch. 1) ps format and pdf format
Lectures 3-5: Random variables (Ch. 2, 4, 5) ps format and pdf format
Lectures 5-6: Joint distributions (Ch. 3, 4) ps format and pdf format
Lectures 7-9: Parameter estimation (Ch. 7, 8) ps format and pdf format
Lectures 9-10: Hypotheses testing (Ch. 9) ps format and pdf format
Lectures 11-12: Linear regression and chi-square tests (Ch. 13.3-4, 14.1-2) ps format and pdf format
Lectures 13-14: Decision theory and Bayesian inference (Ch. 15) ps format and pdf format
Lecture 14: Course overview and a list of recomended exercises in the book ps format and pdf format

Exercises

The exercise sessions consist of two parts: going through home assignments and solving problems together.

In the exercise session each student marks which problems of the home assignment he/she has solved and then

the students are randomly chosen to present the solutions on the black board.

Bonus points

The solved problems give bonus points to the final exam
at least 50 % gives 1 point
at least 80 % gives 2 points

The bonus points work only for the first scheduled exam.

Grading system

An obligatory group (up to 3 students in a group) assignment (click here) is to be handed in by October 20 to Ilona Pylvänäinen.
The final exam is closed books, however, up to four A4 pages of one's own handwritten notes are allowed to be used on the exam. Final exam consists of 5-6 questions giving max 30 points in total. To pass the exam you have to collect at least 12 points (including eventual bonus points)
                      grade "3" points: between 12 and 16
                      grade "4" points: between 17 and 21
                      grade "5" points: between 22 and 30