Reliability of systems
Code  Completion  Credits  Range  Language 

101SPS  Z,ZK  5  2P+2C  Czech 
 Course guarantor:
 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. Twosample 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. Twosample 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 timetable has been prepared for this course
 The course is a part of the following study plans: