Reliability of systems

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

1. Reliability in a view of probability.

2. Probability and conditional probability.

3. Total probability and Bayesian theorem.

4. Random variables. Expectation and standard deviation.

5.. Continuous random variables. Expectation and standard deviation and quantiles.

6. Normal distribution. Log=normal distribution.

7. Parameters estimation.

8. Two-sample distribution. Correlation.

9. Independence. Pivot tables.

10. Distribution of linear combination of normally distributed random variables.

11. Construction resistance. Effects of random loads. Index of reliability.

12. Monte Carlo methods.

Requirements:

None.

Syllabus of lectures:

1. Reliability in a view of probability.

2. Probability and conditional probability.

3. Total probability and Bayesian theorem.

4. Random variables. Expectation and standard deviation.

5.. Continuous random variables. Expectation and standard deviation and quantiles.

6. Normal distribution. Log=normal distribution.

7. Parameters estimation.

8. Two-sample distribution. Correlation.

9. Independence. Pivot tables.

10. Distribution of linear combination of normally distributed random variables.

11. Construction resistance. Effects of random loads. Index of reliability.

12. Monte Carlo methods.

Syllabus of tutorials:

Study Objective:

Get a knowledge on the probability theory of reliability.

Study materials:

Holický Milan, Marková Jana: Základy teorie spolehlivosti a hodnocení rizik, skripta ČVUT

Jarušková Daniela: Pravděpodobnost a matematická statistika , skripta ČVUT

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: