Stable Distribution Function
The simple algorithm used in this Demonstration can calculate the stable distribution function and its first several derivatives with good accuracy for . It is offered to help with financial analysis where the data generally has the shape parameter greater than 1. The Nolan 1-parameterization is used where the parameters have the characteristics listed below.[more]
is the distribution shape parameter, . For the result is the normal distribution; is the tail exponent of the distribution: lower values give fatter tails.
is the skewness parameter in the range (-1, 1).
is the scale parameter.
is the location parameter; when as in this Demonstration is the expectation of the distribution.[less]