inv_logit() [1/6]

template<typename T , require_fvar_t< T > * = nullptr>

auto stan::math::inv_logit ( T &&  x )

inline

Returns the inverse logit function applied to the argument.

The inverse logit function for Eigen expressions with var value type.

The inverse logit function for variables (stan).

Template Parameters

T	inner type of the fvar

Parameters

x

argument

Returns

inverse logit of argument

See inv_logit() for the double-based version.

The derivative of inverse logit is

\(\frac{d}{dx} \mbox{logit}^{-1}(x) = \mbox{logit}^{-1}(x) (1 - \mbox{logit}^{-1}(x))\).

Template Parameters

T	Arithmetic or a type inheriting from EigenBase.

Parameters

a	Argument variable.

Returns

Inverse logit of argument.

See inv_logit() for the double-based version.

The derivative of inverse logit is

\(\frac{d}{dx} \mbox{logit}^{-1}(x) = \mbox{logit}^{-1}(x) (1 - \mbox{logit}^{-1}(x))\).

Template Parameters

T	type of Eigen expression

Parameters

x	Eigen expression

Returns

Inverse logit of argument.

Definition at line 20 of file inv_logit.hpp.