Cauchy Distribution for the Probability Distribution Calculator
- Density Function
- The Cauchy distribution has the probability density function:
f(x) = 1/( q*p*{1+[(x- h)/q]2})
0 < q
where
- Distribution Function
- The cumulative distribution function (the term was first introduced by Wilks, 1943) for the Cauchy distribution is:
F(x) = 1/2 + 1/p*arctan[(x-h)/q]
- C
- This field displays the current variate value for the Cauchy distribution. When you edit this value (either manually or with the microscrolls), Statistica computes the associated p-value for the specified parameters.
- p
- This field displays the p-value computed from the specified variate value and parameters or you can enter a desired p-value (either manually or edit the existing value with the microscrolls) and compute the critical value for the specified parameters.
- Location, Scale
- Specify here the location and scale parameters of the distribution, h and q, respectively. If one or both of these parameters are changed, then the p-value will be recomputed based on the respective variate value.
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