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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

Applied Statistics

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Code Completion Credits Range Language
101YAST Z 2 1P+1C Czech
Garant předmětu:
Daniela Jarušková, Jana Nosková
Lecturer:
Daniela Jarušková
Tutor:
Daniela Jarušková
Supervisor:
Department of Mathematics
Synopsis:

Basic notions and terminology, random variable, descriptive and inferential statistics. Discrete and continuous random variables, normal distribution, log-normal distribution. Statistical methods, theory of estimation, hypotheses testing, simple linear regression.

Requirements:

none

Syllabus of lectures:

Subject can be adapted according to students demands.

1. Difference between descriptive and inferential statistics.

2. Probability. Conditional probability. Independence of random events.

3. Discrete random variables, probability distribution, expectation, variance, examples of discrete distributions.

4. Continuous distribution. Density. Distribution function. Quantiles.

5. Normal distribution.

6. Log-normal distribution.

7. two-dimensional distribution. Marginal distribution. Independence. Correlation.

8. Central limit theorem.

9. Parameters estimation. Confidence intervals.

10. Hypotheses testing. One and two-samples tests.

11. Linear regression. Method of least squares.

12. Linear regression. Estimation of parameters. Prediction.

Syllabus of tutorials:

1. Descriptive statistics in Excel.

2. Normal distribution in Excel.

3. Theory of estimation. Confidence intervals.

4. Two-sample problems.

5. Monte Carlo methods.

Study Objective:

Students know probability models and statistical methods of data analyses.

Study materials:

Jarušková D.: Matematická statistika, ČVUT Praha, 1997. Jarušková D., Hála M.: Pravděpodobnost a matematická statistika 12 - Příklady, ČVUT Praha, 2000.

Note:
Time-table for winter semester 2024/2025:
Time-table is not available yet
Time-table for summer semester 2024/2025:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-06-15
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