Ukončeno v akademickém roce 2015/2016

Theory of Probability and Mathematical Statistics

Type of study	Doctoral
Language of instruction	Czech
Code	639-0907/03
Abbreviation	TPMS
Course title	Theory of Probability and Mathematical Statistics
Credits	10
Coordinating department	Department of Quality Management
Course coordinator	prof. RNDr. Josef Tošenovský, CSc.

Osnova předmětu

1. Conditional event algebra
2. Probability
3. Discrete and Continuous Random Variables
4. Cumulative Distribution Function
5. Discrete and Continuous Uniform Distribution
6. Binomial Distribution
7. Normal Distribution
8. Multiple Disrete and Continuous Random Variable
9. Bivariate Normal Distribution
10. Functions of Random Variables
11. Mean and Variance of Continuous and Discrete Random Variable
12. Random Sampling
13. Data Description - Mean, Variance, Standard Deviation, Median, Others
14. Point Estimation of Parameters
15. Statistical Intervals fot a Single Sample
16. Tests of Hypotheses for a Single Sample
17. Simple Linear Regression and Correlation
18. Multiple Linear Regression
19. Test of Independence in Contingency Tables
20. Multivariate Statistical Analysis
21. Graphical Methods for Data Analysis

Povinná literatura

JAMES, G., D. WITTEN, T. HASTIE and R. TIBSHIRANI. An Introduction to Statistical Learning. NY: Springer, 2013. .
KUTNER, M. H.,CH. J. NACHTSHEIM and J. NETER. Applied Linear Regression Models. NY:McGraw-Hill, 2004. .
BOX,G. E. P.,HUNTER,W.G. and J.S. HUNTER. Statistics for Experimenters.
NY: Wiley&Sons, 1978. .

Doporučená literatura

MONTGOMERY, D. C. Applied Statistics and Probability for Engineers. NY: Wiley, 2010. .
SHESKIN, D. J. Handbook of Parametric and Nonparametric Statistical Procedures. NY: Chapman and Hall, 2003. .

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