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Setting Up An Analysis<br />

Monte Carlo Analysis<br />

and optionally, how the sampling is generated. The SAVE/RESTART arguments are used to<br />

save the random sampling and the simulated characteristics. These quantities can be used in<br />

subsequent Monte Carlo experiments.<br />

You can monitor the evolution of certain quantities. Eldo will flush out from the .wdb file the<br />

average and standard deviation of extracts and measurements versus the Monte Carlo run index<br />

to see how these entities evolve.<br />

To control the run-length in the context of sequential Monte Carlo algorithms, use the<br />

MCCONV extract function. In contrast to fixed run-length approaches, samples are generated<br />

until some error criterion is satisfied.<br />

Two algorithms are provided to control the convergence. It is possible to monitor the evolution<br />

of the various moments to precisely quantify the notion of convergence. The Monte Carlo<br />

process can be stopped early using .MC AUTOSTOP if these quantities do not vary more than a<br />

<strong>user</strong>-specified limit.<br />

Monte Carlo Analysis Results<br />

The results of Monte Carlo analysis runs are output using the .EXTRACT, .PRINT and .PLOT<br />

commands and provided in two ways:<br />

• ASCII Output (.chi)<br />

Examples of quantitative procedures are confidence intervals or bootstrap estimates for<br />

the mean value. These analyses are provided within the .chi file. Eldo prints the<br />

following basic statistics: the range, the mean (average), and the standard deviation.<br />

Two standard deviation results are provided:<br />

o<br />

o<br />

Standard Deviation<br />

The RMS value of the deviation of output with respect to the average value.<br />

Standard Deviation based on nominal run<br />

The RMS value of the deviation of output with respect to the nominal run.<br />

• Graphical Output<br />

Eldo provides some tools such as scatter plots, histograms, or probability distribution<br />

functions (PDF) which can be viewed using EZwave.<br />

By default, without the ALL argument, only the nominal, minimum, and maximum results of<br />

Monte Carlo simulations are saved. This includes both ASCII (.chi) and binary wave (.wdb)<br />

results. When ALL is specified, the waveform results of every Monte Carlo simulation run are<br />

stored in the output files.<br />

266<br />

Eldo® User's Manual, 15.3

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