1.2.15.1.10. statsmodels.api.Probit.jac¶
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Probit.
jac
(*args, **kwds)¶ jac is deprecated, use score_obs instead! Use score_obs method. jac will be removed in 0.7
Probit model Jacobian for each observationParameters: params : array-like
The parameters of the model
Returns: jac : ndarray, (nobs, k_vars)
The derivative of the loglikelihood for each observation evaluated at params.
Notes
\[\frac{\partial\ln L_{i}}{\partial\beta}=\left[\frac{q_{i}\phi\left(q_{i}x_{i}^{\prime}\beta\right)}{\Phi\left(q_{i}x_{i}^{\prime}\beta\right)}\right]x_{i}\]for observations \(i=1,...,n\)
Where \(q=2y-1\). This simplification comes from the fact that the normal distribution is symmetric.