Discrete
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
If x is not an integer value, then the probability must be zero otherwise pmf(int x) is used to determine the probability
Returns the f(i) where f represents the probability mass function for the distribution.
Computes the probabilities associated with the range and returns the value and the probability as a map with the integer value as the key and the probability as the related value.
Computes Pr{x < X } for the distribution.