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Monte Carlo Analysis<br />

Additional Uncertainty Analyses (the .mcm File)<br />

and:<br />

These values measure the skewness and the kurtosis. The skewness for a normal distribution is<br />

zero , and any symmetric data should have a skewness near zero. Negative values for<br />

the skewness indicate data that are skewed left and positive values for the skewness indicate<br />

data that are skewed right. Skewed left means the left tail is long relative to the right tail.<br />

Similarly, skewed right means the right tail is long relative to the left tail. Some measurements<br />

have a lower bound and are skewed right. We plot two examples of skewed distributions in<br />

Figure 11-14.<br />

Figure 11-14. Illustration of Kurtosis and Skewness with μ=0 and σ=1<br />

The kurtosis refers to the curvature of the distribution. The kurtosis for a standard normal<br />

distribution is three. When β 2 > 3 then unimodal distributions tend to have heavier or thicker<br />

496<br />

Eldo® User's Manual, 15.3

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