biogeme.likelihood.linear_regression module¶
Calculates the contribution to the likelihood function of an observation in a linear regression context.
Michel Bierlaire Sun Aug 17 2025, 18:18:23
- biogeme.likelihood.linear_regression.build_linear_terms(independent_variables, coefficients)[source]¶
- Return type:
- Parameters:
- biogeme.likelihood.linear_regression.build_normalized_formula(dependent_variable, linear_terms, scale_parameter)[source]¶
Constructs the standardized residual expression used in the likelihood and loglikelihood.
- Parameters:
dependent_variable (
Expression) – The dependent variable expression.linear_terms (
Expression) – Expression for the linear terms.scale_parameter (
Expression) – The scale parameter expression (e.g., standard deviation).
- Return type:
- Returns:
An Expression representing the standardized residual (dependent_variable minus linear predictor, divided by scale).
- biogeme.likelihood.linear_regression.regression_likelihood(dependent_variable, linear_terms, scale_parameter)[source]¶
Calculates the contribution of one observation to the likelihood under a normal regression model.
- Parameters:
dependent_variable (
Expression) – The dependent variable expression.linear_terms (
Expression) – Expression for the linear terms.scale_parameter (
Expression) – The scale parameter expression (e.g., standard deviation).
- Return type:
- Returns:
An Expression representing the likelihood contribution of the observation.
- biogeme.likelihood.linear_regression.regression_loglikelihood(dependent_variable, linear_terms, scale_parameter)[source]¶
Calculates the log-likelihood contribution of one observation under a normal regression model.
- Parameters:
dependent_variable (
Expression) – The dependent variable expression.linear_terms (
Expression) – Expression for the linear terms.scale_parameter (
Expression) – The scale parameter expression (e.g., standard deviation).
- Return type:
- Returns:
An Expression representing the log-likelihood contribution of the observation.