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Cauchy Distribution
Statistical properties
mean | indeterminate mode | a standard deviation | indeterminate variance | indeterminate skewness | indeterminate
Probability density function (PDF)
1/(π b ((x - a)^2/b^2 + 1))
Plots of PDF for typical parameters
Cumulative distribution function (CDF)
P (X<=x) = (tan^(-1)((x - a)/b))/π + 1/2
Plots of CDF for typical parameters
Percentiles
10th | a - 3.07768 b 25th | a - 1 b 50th | a 75th | a + b 90th | a + 3.07768 b