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Subject 'Theory of Probability, Statistics'

Name in Estonian: Tõenäosusteooria, statistika

Year:   2011/2012    2012/2013    2013/2014    2014/2015    2015/2016    

State codeRKE036
Study languageEstonian
ChairKeskused - reaal
Credit points 2 ECTS
Grading method Grade prelim

General description

1. Probability, Set Operations
2. Properties of Probability
3. Random Variables and Distributions
4. Functions of Random Variables, Convolution
5. Functions of Random Variables: Sum, Product, Ratio, Maximum, Change of Variables
6. Linear Transformations of Random Vectors
7. Mathematical Statistics

General aim

This course provides an elementary introduction to probability and statistics with applications.

Aim

Student should be able to use basic probability models; combinatorics; random variables; discrete and continuous probability distributions; statistical estimation and testing; confidence intervals; and linear regression.

Form description

This course features a full set of lecture notes, as well as assignments. Individual work - studying the given notes, solving exercises, preparing for tests and grade prelim.

Literature

1. DeGroot, Morris H., and Mark J. Schervish. Probability and Statistics. 3rd ed. Boston, MA: Addison-Wesley, 2002.
2. Feller, William. An Introduction to Probability Theory and Its Applications. 3rd ed., rev. printing. New York, NY: Wiley, 1968.

Is taught in following curricula

2014: TE*  
2013: TE*  
2012: TEI*  
2011: TEI*  
2010: TEI*  
2009: TEI*  
2008: EI*  GI*  RR  TD  TEI*  *  
2007: EI*  GI*  RR  TD  TEI*  *  
2006: EI*  GI*  TEI*  *  
2005: EI*  GI*  TEI*  *  
2004: EI*  GI*  TEI*  *  
* Optional subject
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