Download Statistics and probability theory : in pursuit of by M H Faber PDF

By M H Faber

Engineering judgements less than Uncertainty -- simple chance thought -- Descriptive facts -- Uncertainty Modeling -- Estimation and version development -- equipment of Structural Reliability -- Bayesian choice research

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2 that the lowest value of the data lies close to 3000 while the highest lies close to 8000. Moreover, a high concentration of observations is observed in the range 4000 to 5000, indicating that the central value of this data is in that range. 2 Histograms A frequently applied graphical representation of data sets is the histogram. 2 for direction 2. 3. For each interval the midpoint is determined and the number of observations within each interval is counted. Thereafter, the frequencies of the measurements within each interval are evaluated as the number of observations within one interval divided by the total number of observations.

12 can be seen that in direction 1 the observations with 38 3 Descriptive Statistics Fig. 12 Tukey box plots of the traffic flow data in the Gotthard tunnel Fig. 13 Tukey box plot of the concrete cube compressive strength data [MPa] values in the lower and the upper range are more symmetric than the ones in direction 2. It is seen that the observed values of traffic flow in direction 2 are systematically larger than for direction 1. In Fig. 9. For this set of data there are no outside values as the upper adjacent value is the maximum value of the data and the lower adjacent value corresponds to the lower value of the data.

The data organized according to the result of Eq. 5. 5. It is seen from Fig. 6 that the rule implied from Eq. 8 works fine and the resulting frequency distribution provides a good resolution of the observations. 3 Quantile Plots Quantile plots are graphical representations containing information that is similar to the cumulative frequency plots introduced above. g. 65 quantile of a given data set of observations is the observation for which 65% of all observations in the data set have smaller values.

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