Titel_SS06
In Figure 1.22 the distribution of initiating events is shown for submersible rigs, which normally operate as production facilit ...
Other Weather, flooding 8% 3% Structural damage 8% Capsizing 8% Collision 9% Fire / explosion 27% Blowout 37% Figure 1.24: Distr ...
Failure of nuclear power plants may occur as a result of one or more failures of the components and systems comprising the power ...
Operator error 9% Maintenance failure 43% Poor design or layoutof equipment 28% Incomplete knowledge about chemicals 15% Incompl ...
2 nd Lecture: Review of Basic Probability Theory and Statistics Aim of the present lecture The aim of the present lecture is to ...
2.1 Introduction Probability theory and statistics forms the basis for the assessment of probabilities of occurrence of uncertai ...
“head” has occurred 563 times the answer would be that the probability for “head” is 0.563. However, as the number of experiment ...
The degree of belief is a reflection of the state of mind of the individual person in terms of experience, expertise and prefere ...
different from structure to structure. In such cases the Bayesian interpretation of probability is far more appropriate. The bas ...
Furthermore let the event A be an event in the sample space. Then the probability of the eventA, i.e.PA() can be written as: 12 ...
An inspection of the concrete beam is conducted indicating that corrosion has initiated. Based on the findings from the inspecti ...
the concrete belongs to another class. The likelihoods for the considered test method are given in Table 2.1. It is assumed that ...
2.5 Numerical Summaries Central Measures One of the most useful numerical summaries is the sample mean. If the data set is colle ...
Table 2.2: Concrete cube compressive strength experiment results in MPa. The sample mean for the data set is readily evaluated u ...
01.0102.01 03.01 04.0105.01 06.01 07.01 08.0109.01 10.01 11.0112.01 13.01 14.01 15.0116.01 17.01 18.0119.01 20.01 21.0122.01 23. ...
distribution, which is equal to 3.0. The kurtosis for the concrete cube compressive strength (Table 2.2) is evaluated as equal t ...
and the extreme values of the interval are only achieved in case the data pairs are perfectly correlated, implying that the poin ...
interval is counted. Thereafter the frequencies of the measurements within each interval are evaluated as the number of observat ...
e.g. the 0.65 quantile of a given data set of observations is the observation for which 65% of all observations in the data set ...
Quantile value Concrete cube compressive strength [MPa] Figure 2.6: Quantile plots of the observed concrete cube compressive str ...
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