Cauchy distribution, Advanced Statistics

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Cauchy distribution: The probability distribution, f (x), can be given as follows
2177_cauchy distribution.png 

where α is the position of the parameter (median) and the beta β a scale parameter. Moments and cumulates of distribution do not exist and prevail. The distribution is the unimodal and symmetric is about α with much heavier tails than the normal distribution shown in the figure. The upper and lower quartiles of the distribution are α ± β. Named after the scientist Augustin-Louis Cauchy.


1505_cauchy distribution1.png


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