Index

_

__init__() (aurora.distributions.families.beta.BetaFamily method) (aurora.distributions.families.BetaFamily method) (aurora.distributions.families.CauchyFamily method) (aurora.distributions.families.inverse_gaussian.InverseGaussianFamily method) (aurora.distributions.families.InverseGaussianFamily method) (aurora.distributions.families.negative_binomial.NegativeBinomialFamily method) (aurora.distributions.families.NegativeBinomialFamily method) (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method) (aurora.distributions.links.common.PowerLink method) (aurora.distributions.links.PowerLink method) __post_init__() (aurora.models.gam.SmoothTerm method) (aurora.models.gam.TensorTerm method) (aurora.models.gamm.random_effects.RandomEffect method)

__repr__() (aurora.distributions.families.CauchyFamily method) (aurora.distributions.families.negative_binomial.NegativeBinomialFamily method) (aurora.distributions.families.NegativeBinomialFamily method) (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method) (aurora.models.gam.additive.AdditiveGAMResult method) (aurora.models.gam.AdditiveGAMResult method) (aurora.models.gam.GAMResult method) (aurora.models.gam.result.GAMResult method) (aurora.models.gamm.random_effects.RandomEffect method)

A

accuracy_score() (in module aurora.validation.metrics.classification) AdditiveGAMResult (class in aurora.models.gam) (class in aurora.models.gam.additive) aic (aurora.models.gamm.fitting.GAMMResult attribute) aic() (in module aurora.validation.metrics.glm) aic_ (aurora.models.glm.fitting.GLMResult attribute) anova() (in module aurora.inference.anova) anova_glm() (in module aurora.inference.anova) anova_type (aurora.inference.anova.ANOVAResult attribute) ANOVAResult (class in aurora.inference.anova) aurora.core.linalg module aurora.core.optimization module aurora.core.optimization.sparse_solvers module aurora.distributions.families module aurora.distributions.links module aurora.helpers module aurora.inference.anova module aurora.io module aurora.io.readers module

aurora.io.writers module aurora.models.gam module aurora.smoothing.penalties module aurora.smoothing.selection module aurora.smoothing.splines module aurora.smoothing.tensor module aurora.validation.cross_val module aurora.validation.metrics.classification module aurora.validation.metrics.glm module aurora.validation.metrics.regression module aurora.visualization module aurora.visualization.model_plots module aurora.visualization.predictions module aurora.visualization.residuals module

B

backtrack_iterations (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute) basis (aurora.smoothing.splines.PSplineResult attribute) basis_matrix() (aurora.smoothing.splines.bspline.BSplineBasis method) (aurora.smoothing.splines.BSplineBasis method) (aurora.smoothing.splines.cubic.CubicSplineBasis method) (aurora.smoothing.splines.CubicSplineBasis method) (aurora.smoothing.splines.pspline.PSplineBasis method) (aurora.smoothing.splines.PSplineBasis method) basis_type (aurora.models.gam.SmoothTerm attribute) basis_types (aurora.models.gam.TensorTerm attribute) beta_parametric (aurora.models.gamm.fitting.GAMMResult attribute) beta_smooth (aurora.models.gamm.fitting.GAMMResult attribute)

BetaFamily (class in aurora.distributions.families) (class in aurora.distributions.families.beta) bic (aurora.models.gamm.fitting.GAMMResult attribute) bic() (in module aurora.validation.metrics.glm) bic_ (aurora.models.glm.fitting.GLMResult attribute) BinomialFamily (class in aurora.distributions.families) (class in aurora.distributions.families.binomial) boundary_conditions (aurora.inference.anova.LRTResult attribute) boundary_correction_applied (aurora.inference.anova.LRTResult attribute) brier_score_loss() (in module aurora.validation.metrics.classification) BSplineBasis (class in aurora.smoothing.splines) (class in aurora.smoothing.splines.bspline) by (aurora.models.gam.SmoothTerm attribute)

C

CauchyFamily (class in aurora.distributions.families) CLogLogLink (class in aurora.distributions.links) (class in aurora.distributions.links.common) coef_ (aurora.models.glm.fitting.GLMResult attribute) (aurora.smoothing.splines.PSplineResult attribute) coef_cov_ (aurora.models.glm.fitting.GLMResult property) coefficients (aurora.models.gamm.fitting.GAMMResult attribute) compare() (in module aurora.helpers) CompoundPoissonGammaFamily (class in aurora.distributions.families) concordance_index() (in module aurora.validation.metrics.classification) condition_number (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute) condition_number() (in module aurora.core.linalg) condition_number_ (aurora.models.glm.fitting.GLMResult attribute)

confidence_band() (aurora.smoothing.splines.PSplineResult method) confidence_intervals() (in module aurora.inference.intervals.confidence) confusion_matrix() (in module aurora.validation.metrics.classification) converged (aurora.models.gamm.fitting.GAMMResult attribute) converged_ (aurora.models.glm.fitting.GLMResult attribute) covariance (aurora.models.gamm.random_effects.RandomEffect attribute) covariance_params (aurora.models.gamm.fitting.GAMMResult attribute) create_knots() (aurora.smoothing.splines.bspline.BSplineBasis static method) (aurora.smoothing.splines.BSplineBasis static method) (aurora.smoothing.splines.cubic.CubicSplineBasis static method) (aurora.smoothing.splines.CubicSplineBasis static method) cross_val_score() (in module aurora.validation.cross_val) CrossValResult (class in aurora.validation.cross_val) CubicSplineBasis (class in aurora.smoothing.splines) (class in aurora.smoothing.splines.cubic)

D

d2_log_likelihood() (aurora.distributions.families.negative_binomial.NegativeBinomialFamily method) (aurora.distributions.families.NegativeBinomialFamily method) (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method) d_log_likelihood() (aurora.distributions.families.negative_binomial.NegativeBinomialFamily method) (aurora.distributions.families.NegativeBinomialFamily method) (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method) default_link (aurora.distributions.base.Family property) (aurora.distributions.families.beta.BetaFamily property) (aurora.distributions.families.BetaFamily property) (aurora.distributions.families.binomial.BinomialFamily property) (aurora.distributions.families.BinomialFamily property) (aurora.distributions.families.gamma.GammaFamily property) (aurora.distributions.families.GammaFamily property) (aurora.distributions.families.gaussian.GaussianFamily property) (aurora.distributions.families.GaussianFamily property) (aurora.distributions.families.inverse_gaussian.InverseGaussianFamily property) (aurora.distributions.families.InverseGaussianFamily property) (aurora.distributions.families.negative_binomial.NegativeBinomialFamily property) (aurora.distributions.families.NegativeBinomialFamily property) (aurora.distributions.families.poisson.PoissonFamily property) (aurora.distributions.families.PoissonFamily property) (aurora.distributions.families.student_t.StudentTFamily property) (aurora.distributions.families.StudentTFamily property) (aurora.distributions.families.tweedie.TweedieFamily property) (aurora.distributions.families.TweedieFamily property) derivative() (aurora.distributions.base.LinkFunction method) (aurora.distributions.links.CLogLogLink method) (aurora.distributions.links.common.CLogLogLink method) (aurora.distributions.links.common.IdentityLink method) (aurora.distributions.links.common.InverseLink method) (aurora.distributions.links.common.InverseSquareLink method) (aurora.distributions.links.common.LogitLink method) (aurora.distributions.links.common.LogLink method) (aurora.distributions.links.common.PowerLink method) (aurora.distributions.links.common.ProbitLink method) (aurora.distributions.links.common.SqrtLink method) (aurora.distributions.links.IdentityLink method) (aurora.distributions.links.InverseLink method) (aurora.distributions.links.InverseSquareLink method) (aurora.distributions.links.LogitLink method) (aurora.distributions.links.LogLink method) (aurora.distributions.links.PowerLink method) (aurora.distributions.links.ProbitLink method) (aurora.distributions.links.SqrtLink method) (aurora.smoothing.splines.PSplineResult method)

derivative_basis_matrix() (aurora.smoothing.splines.bspline.BSplineBasis method) (aurora.smoothing.splines.BSplineBasis method) derivative_matrix() (aurora.smoothing.splines.pspline.PSplineBasis method) (aurora.smoothing.splines.PSplineBasis method) deviance() (aurora.distributions.base.Family method) (aurora.distributions.families.beta.BetaFamily method) (aurora.distributions.families.BetaFamily method) (aurora.distributions.families.binomial.BinomialFamily method) (aurora.distributions.families.BinomialFamily method) (aurora.distributions.families.gamma.GammaFamily method) (aurora.distributions.families.GammaFamily method) (aurora.distributions.families.gaussian.GaussianFamily method) (aurora.distributions.families.GaussianFamily method) (aurora.distributions.families.inverse_gaussian.InverseGaussianFamily method) (aurora.distributions.families.InverseGaussianFamily method) (aurora.distributions.families.negative_binomial.NegativeBinomialFamily method) (aurora.distributions.families.NegativeBinomialFamily method) (aurora.distributions.families.poisson.PoissonFamily method) (aurora.distributions.families.PoissonFamily method) (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method) deviance_ (aurora.models.glm.fitting.GLMResult attribute) df (aurora.inference.anova.ANOVAResult attribute) (aurora.inference.anova.LRTResult attribute) diagnostics_ (aurora.models.glm.fitting.GLMResult property) dispersion_ (aurora.models.glm.fitting.GLMResult attribute)

E

edf_ (aurora.smoothing.splines.PSplineResult attribute) edf_parametric (aurora.models.gamm.fitting.GAMMResult attribute) edf_smooth (aurora.models.gamm.fitting.GAMMResult attribute) edf_total (aurora.models.gamm.fitting.GAMMResult attribute) eigh() (in module aurora.core.linalg) estimate_lambda() (aurora.distributions.families.inverse_gaussian.InverseGaussianFamily method) (aurora.distributions.families.InverseGaussianFamily method) estimate_phi() (aurora.distributions.families.beta.BetaFamily method) (aurora.distributions.families.BetaFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method)

estimate_power() (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method) estimate_scale() (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) estimate_theta() (aurora.distributions.families.negative_binomial.NegativeBinomialFamily method) (aurora.distributions.families.NegativeBinomialFamily method) eta_ (aurora.models.glm.fitting.GLMResult attribute) export_coefficients() (in module aurora.io) (in module aurora.io.writers) export_predictions() (in module aurora.io) (in module aurora.io.writers)

F

f1_score() (in module aurora.validation.metrics.classification) f_statistic (aurora.inference.anova.ANOVAResult attribute) family (aurora.models.gamm.fitting.GAMMResult attribute) (aurora.models.glm.fitting.GLMResult attribute) Family (class in aurora.distributions.base) fit() (aurora.smoothing.splines.pspline.PSplineBasis method) (aurora.smoothing.splines.PSplineBasis method) fit_additive_gam() (in module aurora.models.gam) (in module aurora.models.gam.additive) fit_gam() (in module aurora.models.gam) (in module aurora.models.gam.fitting) fit_gam_formula() (in module aurora.models.gam) (in module aurora.models.gam.additive) fit_gamm() (in module aurora.models.gamm.interface)

fit_gamm_with_smooth() (in module aurora.models.gamm.interface) fit_glm() (in module aurora.models.glm.fitting) fit_pql() (in module aurora.models.gamm.pql) fit_pql_with_smooth() (in module aurora.models.gamm.pql_smooth) fit_pspline() (in module aurora.smoothing.splines) fit_tensor_product() (in module aurora.smoothing.tensor) fitted_values (aurora.models.gamm.fitting.GAMMResult attribute) fitted_values_ (aurora.smoothing.splines.PSplineResult attribute) FormulaSpec (class in aurora.models.gam) full_variance() (aurora.distributions.families.beta.BetaFamily method) (aurora.distributions.families.BetaFamily method) (aurora.distributions.families.inverse_gaussian.InverseGaussianFamily method) (aurora.distributions.families.InverseGaussianFamily method) fun (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute)

G

GammaFamily (class in aurora.distributions.families) (class in aurora.distributions.families.gamma) GAMMResult (class in aurora.models.gamm.fitting) GAMResult (class in aurora.models.gam) (class in aurora.models.gam.result) GaussianFamily (class in aurora.distributions.families) (class in aurora.distributions.families.gaussian) gcv_ (aurora.smoothing.splines.PSplineResult attribute) gcv_score() (in module aurora.smoothing.selection)

generalized_deviance() (in module aurora.validation.metrics.glm) get_gamma_rate() (aurora.distributions.families.CompoundPoissonGammaFamily method) get_gamma_shape() (aurora.distributions.families.CompoundPoissonGammaFamily method) get_poisson_rate() (aurora.distributions.families.CompoundPoissonGammaFamily method) glm_diagnostics() (in module aurora.inference.diagnostics.glm) GLMResult (class in aurora.models.glm.fitting) grad (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute) grouping (aurora.models.gamm.random_effects.RandomEffect attribute)

H

hess (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute)

I

IdentityLink (class in aurora.distributions.links) (class in aurora.distributions.links.common) include_intercept (aurora.models.gamm.random_effects.RandomEffect attribute) initialize() (aurora.distributions.base.Family method) (aurora.distributions.families.beta.BetaFamily method) (aurora.distributions.families.BetaFamily method) (aurora.distributions.families.binomial.BinomialFamily method) (aurora.distributions.families.BinomialFamily method) (aurora.distributions.families.gamma.GammaFamily method) (aurora.distributions.families.GammaFamily method) (aurora.distributions.families.gaussian.GaussianFamily method) (aurora.distributions.families.GaussianFamily method) (aurora.distributions.families.inverse_gaussian.InverseGaussianFamily method) (aurora.distributions.families.InverseGaussianFamily method) (aurora.distributions.families.negative_binomial.NegativeBinomialFamily method) (aurora.distributions.families.NegativeBinomialFamily method) (aurora.distributions.families.poisson.PoissonFamily method) (aurora.distributions.families.PoissonFamily method) (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method) intercept_ (aurora.models.glm.fitting.GLMResult attribute) intercept_p_value_ (aurora.models.glm.fitting.GLMResult property) intercept_std_error_ (aurora.models.glm.fitting.GLMResult property) inverse() (aurora.distributions.base.LinkFunction method) (aurora.distributions.links.CLogLogLink method) (aurora.distributions.links.common.CLogLogLink method) (aurora.distributions.links.common.IdentityLink method) (aurora.distributions.links.common.InverseLink method) (aurora.distributions.links.common.InverseSquareLink method) (aurora.distributions.links.common.LogitLink method) (aurora.distributions.links.common.LogLink method) (aurora.distributions.links.common.PowerLink method) (aurora.distributions.links.common.ProbitLink method) (aurora.distributions.links.common.SqrtLink method) (aurora.distributions.links.IdentityLink method) (aurora.distributions.links.InverseLink method) (aurora.distributions.links.InverseSquareLink method) (aurora.distributions.links.LogitLink method) (aurora.distributions.links.LogLink method) (aurora.distributions.links.PowerLink method) (aurora.distributions.links.ProbitLink method) (aurora.distributions.links.SqrtLink method)

InverseGaussianFamily (class in aurora.distributions.families) (class in aurora.distributions.families.inverse_gaussian) InverseLink (class in aurora.distributions.links) (class in aurora.distributions.links.common) InverseSquareLink (class in aurora.distributions.links) (class in aurora.distributions.links.common) irls() (in module aurora.core.optimization) (in module aurora.core.optimization.irls)

K

KFold (class in aurora.validation.cross_val)

knot_method (aurora.models.gam.SmoothTerm attribute) knots_ (aurora.smoothing.splines.pspline.PSplineBasis attribute)

L

lambda_ (aurora.distributions.families.inverse_gaussian.InverseGaussianFamily property) (aurora.distributions.families.InverseGaussianFamily property) (aurora.models.gam.SmoothTerm attribute) (aurora.smoothing.splines.PSplineResult attribute) lambda_opt (aurora.models.gam.GAMResult property) (aurora.models.gam.result.GAMResult property) lambdas (aurora.models.gam.TensorTerm attribute) lbfgs() (in module aurora.core.optimization) (in module aurora.core.optimization.lbfgs) likelihood_ratio_test() (in module aurora.inference.anova) link (aurora.models.glm.fitting.GLMResult attribute) link() (aurora.distributions.base.LinkFunction method) (aurora.distributions.links.CLogLogLink method) (aurora.distributions.links.common.CLogLogLink method) (aurora.distributions.links.common.IdentityLink method) (aurora.distributions.links.common.InverseLink method) (aurora.distributions.links.common.InverseSquareLink method) (aurora.distributions.links.common.LogitLink method) (aurora.distributions.links.common.LogLink method) (aurora.distributions.links.common.PowerLink method) (aurora.distributions.links.common.ProbitLink method) (aurora.distributions.links.common.SqrtLink method) (aurora.distributions.links.IdentityLink method) (aurora.distributions.links.InverseLink method) (aurora.distributions.links.InverseSquareLink method) (aurora.distributions.links.LogitLink method) (aurora.distributions.links.LogLink method) (aurora.distributions.links.PowerLink method) (aurora.distributions.links.ProbitLink method) (aurora.distributions.links.SqrtLink method) LinkFunction (class in aurora.distributions.base) ll_full (aurora.inference.anova.LRTResult attribute)

ll_reduced (aurora.inference.anova.LRTResult attribute) load_result() (in module aurora.io) (in module aurora.io.writers) log_determinant() (in module aurora.core.linalg) log_likelihood (aurora.models.gamm.fitting.GAMMResult attribute) log_likelihood() (aurora.distributions.base.Family method) (aurora.distributions.families.beta.BetaFamily method) (aurora.distributions.families.BetaFamily method) (aurora.distributions.families.binomial.BinomialFamily method) (aurora.distributions.families.BinomialFamily method) (aurora.distributions.families.gamma.GammaFamily method) (aurora.distributions.families.GammaFamily method) (aurora.distributions.families.gaussian.GaussianFamily method) (aurora.distributions.families.GaussianFamily method) (aurora.distributions.families.inverse_gaussian.InverseGaussianFamily method) (aurora.distributions.families.InverseGaussianFamily method) (aurora.distributions.families.negative_binomial.NegativeBinomialFamily method) (aurora.distributions.families.NegativeBinomialFamily method) (aurora.distributions.families.poisson.PoissonFamily method) (aurora.distributions.families.PoissonFamily method) (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method) log_likelihood_ (aurora.models.glm.fitting.GLMResult attribute) log_loss() (in module aurora.validation.metrics.classification) LogitLink (class in aurora.distributions.links) (class in aurora.distributions.links.common) LogLink (class in aurora.distributions.links) (class in aurora.distributions.links.common) lrt() (in module aurora.inference.anova) LRTResult (class in aurora.inference.anova) lstsq() (in module aurora.core.linalg)

M

matrix_rank() (in module aurora.core.linalg) mean (aurora.validation.cross_val.CrossValResult attribute) mean_absolute_error() (in module aurora.validation.metrics.regression) mean_squared_error() (in module aurora.validation.metrics.regression) message (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute) minimize() (aurora.core.optimization.Optimizer method) model_names (aurora.inference.anova.LRTResult attribute) modified_newton() (in module aurora.core.optimization) module aurora.core.linalg aurora.core.optimization aurora.core.optimization.sparse_solvers aurora.distributions.families aurora.distributions.links aurora.helpers aurora.inference.anova aurora.io aurora.io.readers aurora.io.writers aurora.models.gam aurora.smoothing.penalties aurora.smoothing.selection aurora.smoothing.splines aurora.smoothing.tensor aurora.validation.cross_val aurora.validation.metrics.classification aurora.validation.metrics.glm aurora.validation.metrics.regression aurora.visualization aurora.visualization.model_plots aurora.visualization.predictions aurora.visualization.residuals

ms (aurora.inference.anova.ANOVAResult attribute) mu_ (aurora.models.glm.fitting.GLMResult attribute)

N

n_basis (aurora.models.gam.SmoothTerm attribute) (aurora.models.gam.TensorTerm attribute) n_effects (aurora.models.gamm.random_effects.RandomEffect property) n_groups (aurora.models.gamm.fitting.GAMMResult attribute) n_iter_ (aurora.models.glm.fitting.GLMResult attribute) n_iterations (aurora.models.gamm.fitting.GAMMResult attribute) n_obs (aurora.models.gamm.fitting.GAMMResult attribute) n_splits (aurora.validation.cross_val.KFold attribute) (aurora.validation.cross_val.StratifiedKFold attribute) n_trials (aurora.distributions.families.binomial.BinomialFamily property) (aurora.distributions.families.BinomialFamily property) name (aurora.distributions.families.CauchyFamily attribute) (aurora.distributions.families.CompoundPoissonGammaFamily attribute) (aurora.distributions.families.negative_binomial.NegativeBinomialFamily attribute) (aurora.distributions.families.NegativeBinomialFamily attribute) (aurora.distributions.families.student_t.StudentTFamily attribute) (aurora.distributions.families.StudentTFamily attribute) (aurora.distributions.families.tweedie.TweedieFamily attribute) (aurora.distributions.families.TweedieFamily attribute)

NegativeBinomialFamily (class in aurora.distributions.families) (class in aurora.distributions.families.negative_binomial) NegBinFamily (in module aurora.distributions.families) newton_raphson() (in module aurora.core.optimization) (in module aurora.core.optimization.newton) nfev (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute) nhev (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute) nit (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute) njev (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute) null_deviance_ (aurora.models.glm.fitting.GLMResult attribute)

O

OptimizationResult (class in aurora.core.optimization) (class in aurora.core.optimization.result)

optimize() (in module aurora.core.optimization) Optimizer (class in aurora.core.optimization)

P

p_value (aurora.inference.anova.ANOVAResult attribute) (aurora.inference.anova.LRTResult attribute) p_values_ (aurora.models.glm.fitting.GLMResult property) parametric_terms (aurora.models.gam.FormulaSpec attribute) ParametricTerm (class in aurora.models.gam) parse_formula() (in module aurora.models.gam) penalty_matrix() (aurora.smoothing.splines.bspline.BSplineBasis method) (aurora.smoothing.splines.BSplineBasis method) (aurora.smoothing.splines.cubic.CubicSplineBasis method) (aurora.smoothing.splines.CubicSplineBasis method) (aurora.smoothing.splines.pspline.PSplineBasis method) (aurora.smoothing.splines.PSplineBasis method) penalty_order (aurora.models.gam.SmoothTerm attribute) phi (aurora.distributions.families.beta.BetaFamily property) (aurora.distributions.families.BetaFamily property) plot() (in module aurora.helpers) plot_all_smooth_effects() (in module aurora.visualization) plot_all_smooths() (in module aurora.models.gam) (in module aurora.visualization) plot_caterpillar() (in module aurora.visualization) plot_diagnostics() (aurora.models.glm.fitting.GLMResult method) (in module aurora.visualization) plot_diagnostics_panel() (in module aurora.visualization) plot_gamm_diagnostics() (in module aurora.visualization) plot_gamm_random_effects() (in module aurora.visualization) plot_random_effects_density() (in module aurora.visualization)

plot_random_effects_qq() (in module aurora.visualization) plot_random_effects_summary() (in module aurora.visualization) plot_smooth() (in module aurora.models.gam) (in module aurora.visualization) plot_smooth_effect() (in module aurora.visualization) PoissonFamily (class in aurora.distributions.families) (class in aurora.distributions.families.poisson) PowerLink (class in aurora.distributions.links) (class in aurora.distributions.links.common) precision() (in module aurora.validation.metrics.classification) predict() (aurora.models.gam.additive.AdditiveGAMResult method) (aurora.models.gam.AdditiveGAMResult method) (aurora.models.gam.GAMResult method) (aurora.models.gam.result.GAMResult method) (aurora.models.gamm.fitting.GAMMResult method) (aurora.models.glm.fitting.GLMResult method) (aurora.smoothing.splines.PSplineResult method) predict_glm() (in module aurora.models.glm.prediction) probability_zero() (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method) ProbitLink (class in aurora.distributions.links) (class in aurora.distributions.links.common) pseudo_r2() (in module aurora.validation.metrics.glm) PSplineBasis (class in aurora.smoothing.splines) (class in aurora.smoothing.splines.pspline) PSplineResult (class in aurora.smoothing.splines)

Q

qr_decomposition() (in module aurora.core.linalg)

quadratic_form() (in module aurora.core.linalg)

R

r_squared (aurora.models.gam.additive.AdditiveGAMResult property) (aurora.models.gam.AdditiveGAMResult property) (aurora.models.gam.GAMResult property) (aurora.models.gam.result.GAMResult property) r_squared() (in module aurora.validation.metrics.regression) random_effects (aurora.models.gam.FormulaSpec attribute) (aurora.models.gamm.fitting.GAMMResult attribute) random_state (aurora.validation.cross_val.KFold attribute) (aurora.validation.cross_val.StratifiedKFold attribute) RandomEffect (class in aurora.models.gamm.random_effects) rank_ (aurora.models.glm.fitting.GLMResult attribute) read_csv() (in module aurora.io) (in module aurora.io.readers) read_design_matrix() (in module aurora.io) (in module aurora.io.readers)

read_excel() (in module aurora.io) (in module aurora.io.readers) read_json() (in module aurora.io) (in module aurora.io.readers) read_stata() (in module aurora.io) (in module aurora.io.readers) recall() (in module aurora.validation.metrics.classification) reml_score() (in module aurora.smoothing.selection) residual_df (aurora.inference.anova.ANOVAResult attribute) residual_ss (aurora.inference.anova.ANOVAResult attribute) residual_variance (aurora.models.gamm.fitting.GAMMResult attribute) residuals (aurora.models.gamm.fitting.GAMMResult attribute) response (aurora.models.gam.FormulaSpec attribute) robust_covariance() (in module aurora.inference.robust) roc_auc() (in module aurora.validation.metrics.classification) root_mean_squared_error() (in module aurora.validation.metrics.regression)

S

safe_cholesky() (in module aurora.core.linalg) safe_inverse() (in module aurora.core.linalg) save_result() (in module aurora.io) (in module aurora.io.writers) scale_ (aurora.models.glm.fitting.GLMResult property) scores (aurora.validation.cross_val.CrossValResult attribute) select_multiple_smoothing_parameters_reml() (in module aurora.smoothing.selection) select_smoothing_parameter() (in module aurora.smoothing.selection) select_smoothing_parameter_reml() (in module aurora.smoothing.selection) shape (aurora.distributions.families.gamma.GammaFamily property) (aurora.distributions.families.GammaFamily property) shuffle (aurora.validation.cross_val.KFold attribute) (aurora.validation.cross_val.StratifiedKFold attribute) sigma2_ (aurora.smoothing.splines.PSplineResult attribute) smooth_terms (aurora.models.gam.FormulaSpec attribute) smoothing_parameters (aurora.models.gamm.fitting.GAMMResult attribute) SmoothTerm (class in aurora.models.gam) solve_cholesky() (in module aurora.core.linalg) solve_qr() (in module aurora.core.linalg) solve_sparse_penalized_ls() (in module aurora.core.optimization) (in module aurora.core.optimization.sparse_solvers) solve_triangular() (in module aurora.core.linalg) source (aurora.inference.anova.ANOVAResult attribute)

split() (aurora.validation.cross_val.KFold method) (aurora.validation.cross_val.StratifiedKFold method) SqrtLink (class in aurora.distributions.links) (class in aurora.distributions.links.common) ss (aurora.inference.anova.ANOVAResult attribute) statistic (aurora.inference.anova.LRTResult attribute) std (aurora.validation.cross_val.CrossValResult attribute) std_errors_ (aurora.models.glm.fitting.GLMResult property) StratifiedKFold (class in aurora.validation.cross_val) StudentTFamily (class in aurora.distributions.families) (class in aurora.distributions.families.student_t) success (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute) summary() (aurora.inference.anova.ANOVAResult method) (aurora.inference.anova.LRTResult method) (aurora.models.gam.additive.AdditiveGAMResult method) (aurora.models.gam.AdditiveGAMResult method) (aurora.models.gam.GAMResult method) (aurora.models.gam.result.GAMResult method) (aurora.models.gamm.fitting.GAMMResult method) (aurora.models.glm.fitting.GLMResult method) (aurora.smoothing.splines.PSplineResult method) (in module aurora.helpers) svd() (in module aurora.core.linalg)

T

tensor_product_basis() (in module aurora.smoothing.tensor) tensor_product_penalty() (in module aurora.smoothing.tensor) TensorTerm (class in aurora.models.gam) test (aurora.inference.anova.ANOVAResult attribute) theta (aurora.distributions.families.negative_binomial.NegativeBinomialFamily property) (aurora.distributions.families.NegativeBinomialFamily property)

theta_ (aurora.models.glm.fitting.GLMResult attribute) to_dict() (aurora.inference.anova.ANOVAResult method) TweedieFamily (class in aurora.distributions.families) (class in aurora.distributions.families.tweedie)

V

valid_y_range (aurora.distributions.families.negative_binomial.NegativeBinomialFamily attribute) (aurora.distributions.families.NegativeBinomialFamily attribute) (aurora.distributions.families.student_t.StudentTFamily attribute) (aurora.distributions.families.StudentTFamily attribute) (aurora.distributions.families.tweedie.TweedieFamily attribute) (aurora.distributions.families.TweedieFamily attribute) variable (aurora.models.gam.ParametricTerm attribute) (aurora.models.gam.SmoothTerm attribute) variables (aurora.models.gam.TensorTerm attribute) (aurora.models.gamm.random_effects.RandomEffect attribute) variance() (aurora.distributions.base.Family method) (aurora.distributions.families.beta.BetaFamily method) (aurora.distributions.families.BetaFamily method) (aurora.distributions.families.binomial.BinomialFamily method) (aurora.distributions.families.BinomialFamily method) (aurora.distributions.families.CauchyFamily method) (aurora.distributions.families.gamma.GammaFamily method) (aurora.distributions.families.GammaFamily method) (aurora.distributions.families.gaussian.GaussianFamily method) (aurora.distributions.families.GaussianFamily method) (aurora.distributions.families.inverse_gaussian.InverseGaussianFamily method) (aurora.distributions.families.InverseGaussianFamily method) (aurora.distributions.families.negative_binomial.NegativeBinomialFamily method) (aurora.distributions.families.NegativeBinomialFamily method) (aurora.distributions.families.poisson.PoissonFamily method) (aurora.distributions.families.PoissonFamily method) (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method)

variance_components (aurora.models.gamm.fitting.GAMMResult attribute)

W

wald_test() (in module aurora.inference.hypothesis.wald) WaldFamily (in module aurora.distributions.families) weighted_condition_number() (in module aurora.core.linalg) weights() (aurora.distributions.families.student_t.StudentTFamily method) (aurora.distributions.families.StudentTFamily method) (aurora.distributions.families.tweedie.TweedieFamily method) (aurora.distributions.families.TweedieFamily method)

weights_ (aurora.smoothing.splines.PSplineResult attribute) woodbury_inverse() (in module aurora.core.linalg)

X

x (aurora.core.optimization.OptimizationResult attribute) (aurora.core.optimization.result.OptimizationResult attribute)

x_ (aurora.smoothing.splines.PSplineResult attribute)

Y

y_ (aurora.smoothing.splines.PSplineResult attribute)