Mathematical statistics for technicians

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Inferential statistics. Theory of probability. Random variables and its characteristics. Basic methods of mathematical statistics.

Requirements:

Basic calculus.

Syllabus of lectures:

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. Parameters estimation. Confidence intervals.

7. 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:

To get a basic knowledge of statistical methods.

Study materials:

Jay L. Devore: Probability and Statistics for Engineering and the Sciences, Duxbury.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Stavební Inženýrství - konstrukce a dopravní stavby, specializace Inženýrské konstrukce (compulsory elective course)
• Stavební Inženýrství - konstrukce a dopravní stavby, specializace Dopravní stavby a geotechnika (compulsory elective course)
• Stavební inženýrství - pozemní stavby, specializace Projektování pozemních staveb (compulsory elective course)
• Stavební inženýrství - pozemní stavby, specializace Statika pozemních staveb (compulsory elective course)