Description Usage Arguments Value Note See Also Examples
Calculate cumulant function and up to three derivatives for families known to the package.
1 
theta 
canonical parameter value. 
fam 
an object of class 
deriv 
the number of derivatives wanted. Must be nonnegative integer less than or equal to three. 
delta 
direction in which limit is taken. Cumulant function is for family that is limit of family specified, limit being for distributions with parameter theta + s delta, the limit being as s to infinity. May be missing, in which case delta = 0 is assumed, which is the same as no limit being taken. 
a list containing some of the following components:
zeroth 
the value of the cumulant function at theta. 
first 
the value of the first derivative at theta, a vector having the same dimension as theta. 
second 
the value of the second derivative at theta, a d by d matrix if d is the dimension of theta or a scalar if theta is scalar. 
third 
the value of the third derivative at theta, a d by d by d array if d is the dimension of theta or a scalar if theta is scalar. 
Not intended for use by ordinary users. Provides R interface for testing to C code called by many other functions in the package.
1 2  cumulant(0.5, fam.bernoulli(), deriv = 3)
cumulant(0.5, fam.bernoulli(), deriv = 3, delta = 1)

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