Statistical ideas may be expressed most precisely and economically in mathematical terms. Contact with data and scientific inference give statistics a distictive outlook. A uniting idea is that of a statistical model.
Contents
Random variable, some special distributions, joint distribution of random variables, independence of random variables, moment-generating function, covariance and correlation of two random variables, transformation of random variables, the weak law of large numbers.
Teaching methods
Teaching method
Contact
Online
Lectures
26 h
0 h
Exercises
12 h
0 h
Teaching language
Finnish
Modes of study
Evaluation
Numeric 1-5.
Recommended year of study
2. year autumn
Study materials
Casella, G., Berger, R. L., Statistical inference. Duxbury Press 2002.
Hogg, R. V., Tanis, E. A., Probability and statistical inference. Prentice Hall 2001.
Huuhtanen, P., Kallinen, A., Matemaattinen tilastotiede. Tampereen yliopisto 1998.
Laininen, P., Todennäköisyys ja sen tilastollinen soveltaminen. Otatieto 2001.
Liski, E., Matemaattinen tilastotiede. Tampereen yliopisto 2005.
Tuominen, P., Todennäköisyyslaskenta I. Limes 1996.
Ross, S., A first course in probability. Prentice Hall 2005.