Cauchy distribution

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The Cauchy distribution has the particularity of being of the Gaussian type of distributions, however it has the highest peak and the tails decompose very slowly. Although MCM Alchimia suitably generates the pseudo-random samples for this distribution, the results graph will look like an isolated peak since the abscissa axis of it is taken in the 99% coverage probability interval. Because the decay of the tails is so gradual, the range of significant probabilities becomes very narrow.
Input parameters:

  • Xo. The distribution of cauchy has no mean. This parameter represents the shift of zero on the x axis, in addition to coinciding with the median and axis of symmetry of the distribution.
  • Scale. The parameter scale must belong to the domain of the reals and be greater than zero.

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