Distribution
Represents the basic interface that probability distributions must implement.
Inheritors
Functions
Returns the F(x) = Pr{X <= x} where F represents the cumulative distribution function
Returns an array of probabilities each representing F(x_i). The CDF is evaluated for each point in the input array x and the probabilities are returned in the returned array.
Returns the probability of being in the interval, F(upper limit) - F(lower limit) Be careful, this is Pr{lower limit < = X < = upper limit} which includes the lower limit and has implications if the distribution is discrete
Returns the Pr{x1 <= X <= x2} for the distribution. Be careful, this is Pr{x1 <= X <= x2} which includes the lower limit and has implications if the distribution is discrete
Computes the complementary cumulative probability distribution function for given value of x. This is P{X > x}
Provides the inverse cumulative distribution function for the distribution
Computes x_p where P(X <= x_p) = p for the supplied array of probabilities. Requires that the values within the supplied array are in (0,1)
Gets the parameters
Sets the parameters
Returns the standard deviation for the distribution as the square root of the variance if it exists