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Stan Math Library
5.0.0
Automatic Differentiation
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Returns the natural logarithm of the difference of the inverse logits of the specified arguments.
\mathrm{log\_inv\_logit\_diff}(x,y) = \ln\left(\frac{1}{1+\exp(-x)}-\frac{1}{1+\exp(-y)}\right)
\frac{\partial }{\partial x} = -\frac{e^x}{e^y-e^x}-\frac{e^x}{e^x+1}
\frac{\partial }{\partial x} = -\frac{e^y}{e^x-e^y}-\frac{e^y}{e^y+1}
T1 | type of x argument |
T2 | type of y argument |
x | first argument |
y | second argument |
Definition at line 37 of file log_inv_logit_diff.hpp.