statsmodels.genmod.families.links.nbinom

class statsmodels.genmod.families.links.nbinom(alpha=1.0)[source]

The negative binomial link function.

Notes

g(p) = log(p/(p + 1/alpha))

nbinom is an alias of NegativeBinomial. nbinom = NegativeBinomial(alpha=1.)

Methods

__call__(p)

Negative Binomial transform link function

deriv(p)

Derivative of the negative binomial transform

deriv2(p)

Second derivative of the negative binomial link function.

inverse(z)

Inverse of the negative binomial transform

inverse_deriv(z)

Derivative of the inverse of the negative binomial transform

inverse_deriv2(z)

Second derivative of the inverse link function g^(-1)(z).

Methods

deriv(p)

Derivative of the negative binomial transform

deriv2(p)

Second derivative of the negative binomial link function.

inverse(z)

Inverse of the negative binomial transform

inverse_deriv(z)

Derivative of the inverse of the negative binomial transform

inverse_deriv2(z)

Second derivative of the inverse link function g^(-1)(z).