Probability and Statistics

prof. RNDr. Daniela Jarušková, CSc.

Course code: 101MPRS
Hours dotation: 2 + 2
Credits: 4
Finals: E (Exam)

Descriptive statistics and statistical inference. Probability.
Discrete distribution of random variables. Mean, variance, standard deviation.
Continuous distribution, mean, variance, standard deviation, quantiles.
Exponential, normal, log-normal distribution.
Random vectors, dependence of random variables, correlation.
Mean, variance of linear combination of random variables. Two-dimensional normal distribution.
Statistical inference, point and interval estimation of parameters of distribution. Linear regression.

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Probability and Statistics

prof. RNDr. Daniela Jarušková, CSc.

Course code: 101MPSE
Hours dotation: 3 + 2
Credits: 6
Finals: E (Exam)

Introduction to probability and statistics with applications, combinatorics, random variables, probability distributions (with emphasis to distributions used in hydrology), Bayesian inference, inferential statistics, estimation of parameters, hypothesis testing, and linear regression.

References

Jay L. Devore: Probability and statistics for engineering and the sciences. Duxbury, ISBN-13:978-0-538-73352-6.

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