statsmodels.regression.linear_model.WLS.loglike

WLS.loglike(params) [source]

Returns the value of the gaussian log-likelihood function at params.

Given the whitened design matrix, the log-likelihood is evaluated at the parameter vector params for the dependent variable Y.

Parameters: params (array-like) – The parameter estimates.
Returns: llf – The value of the log-likelihood function for a WLS Model.
Return type: float

Notes

\[-\frac{n}{2}\log\left(Y-\hat{Y}\right)-\frac{n}{2}\left(1+\log\left(\frac{2\pi}{n}\right)\right)-\frac{1}{2}log\left(\left|W\right|\right)\]

where \(W\) is a diagonal matrix

© 2009–2012 Statsmodels Developers
© 2006–2008 Scipy Developers
© 2006 Jonathan E. Taylor
Licensed under the 3-clause BSD License.
http://www.statsmodels.org/stable/generated/statsmodels.regression.linear_model.WLS.loglike.html