statsmodels.genmod.families.links.cauchy¶

class statsmodels.genmod.families.links.cauchy[source]¶

The Cauchy (standard Cauchy CDF) transform

Notes

g(p) = scipy.stats.cauchy.ppf(p)

cauchy is an alias of CDFLink with dbn=scipy.stats.cauchy

Methods

`__call__`(p)	CDF link function
`deriv`(p)	Derivative of CDF link
`deriv2`(p)	Second derivative of the Cauchy link function.
`inverse`(z)	The inverse of the CDF link
`inverse_deriv`(z)	Derivative of the inverse of the CDF transformation link function
`inverse_deriv2`(z)	Second derivative of the inverse link function g^(-1)(z).

Methods

`deriv`(p)	Derivative of CDF link
`deriv2`(p)	Second derivative of the Cauchy link function.
`inverse`(z)	The inverse of the CDF link
`inverse_deriv`(z)	Derivative of the inverse of the CDF transformation link function
`inverse_deriv2`(z)	Second derivative of the inverse link function g^(-1)(z).