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Monte Carlo Analysis<br />

Obsolete Features<br />

.PARAM PARAM_NAME = UNIF|AUNIF(NOM_VALUE, RANGE_VALUE, MULT)<br />

.PARAM PARAM_NAME = GAUSS|AGAUSS(NOM_VALUE, STD_VALUE, SIGMA_COEF, MULT)<br />

The role of the MULT argument, which is an integer value greater than 1, is to eliminate the<br />

simulation of the sub-population that is “closed” to the median value of the parameter. The<br />

LIMIT distribution (also known as the Rademacher distribution) may be considered as the<br />

extreme case, where only the limits of the interval [-1, 1] are effectively simulated. By<br />

augmenting the multiplier argument, continuous approximations of the LIMIT distribution are<br />

generated.<br />

In Figure 11-24, four realizations are plotted of the random sample obtained by varying the<br />

multiplier of the AUNIF macro. For example, one can see that the median value 0 will not be<br />

simulated (or with a very small probability) when MULT=5.<br />

Figure 11-24. Four Random Samples when AUNIF(0,1,MULT) is Specified<br />

This kind of distributions is often described as bimodal distributions. The distributions have two<br />

modes (the most frequent values) which are closed to the extreme values of the original<br />

distribution. The phenomenon is much more visible in Figure 11-25.<br />

552<br />

Eldo® User's Manual, 15.3

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