statsmodels.tsa.statespace.mlemodel.MLEResults#

class statsmodels.tsa.statespace.mlemodel.MLEResults(model, params, results, cov_type=None, cov_kwds=None, **kwargs)[source]#

Class to hold results from fitting a state space model

Parameters:
modelMLEModel instance

The fitted model instance

paramsndarray

Fitted parameters

resultsKalmanFilter instance

The underlying state space model and Kalman filter output

cov_typestr, optional

The cov_type keyword governs the method for calculating the covariance matrix of parameter estimates. See MLEModel.fit for a description of available options. Default is None, in which case the cov_type is chosen based on whether or not memory_no_likelihood is set on results.

cov_kwdsdict or None, optional

A dictionary of arguments affecting covariance matrix computation. See MLEModel.fit for details. Default is None.

**kwargs

Additional keyword arguments used to initialize the results object.

Attributes:
modelModel instance

A reference to the model that was fit.

filter_resultsKalmanFilter instance

The underlying state space model and Kalman filter output

nobsfloat

The number of observations used to fit the model.

paramsndarray

The parameters of the model.

scalefloat

This is currently set to 1.0 unless the model uses concentrated filtering.

Methods

append(endog[, exog, refit, fit_kwargs, ...])

Recreate the results object with new data appended to the original data

apply(endog[, exog, refit, fit_kwargs, ...])

Apply the fitted parameters to new data unrelated to the original data

conf_int([alpha])

Construct confidence interval for the fitted parameters

cov_params([r_matrix, column, scale, cov_p, ...])

Compute the variance/covariance matrix

extend(endog[, exog, fit_kwargs])

Recreate the results object for new data that extends the original data

f_test(r_matrix[, cov_p, invcov])

Compute the F-test for a joint linear hypothesis

forecast([steps, signal_only])

Out-of-sample forecasts

get_forecast([steps, signal_only])

Out-of-sample forecasts and prediction intervals

get_prediction([start, end, dynamic, ...])

In-sample prediction and out-of-sample forecasting

get_smoothed_decomposition([...])

Decompose smoothed output into contributions from observations

impulse_responses([steps, impulse, ...])

Impulse response function

info_criteria(criteria[, method])

Information criteria

initialize(model, params, **kwargs)

Initialize (possibly re-initialize) a Results instance

load(fname)

Load a pickled results instance

news(comparison[, impact_date, ...])

Compute impacts from updated data (news and revisions)

normalized_cov_params()

See specific model class docstring

plot_diagnostics([variable, lags, fig, ...])

Diagnostic plots for standardized residuals of one endogenous variable

predict([start, end, dynamic, ...])

In-sample prediction and out-of-sample forecasting

remove_data()

Remove data arrays, all nobs arrays from result and model

save(fname[, remove_data])

Save a pickle of this instance

simulate(nsimulations[, measurement_shocks, ...])

Simulate a new time series following the state space model

summary([alpha, start, title, model_name, ...])

Summarize the Model

t_test(r_matrix[, cov_p, use_t])

Compute a t-test for each linear hypothesis of the form Rb = q

t_test_pairwise(term_name[, method, alpha, ...])

Perform pairwise t_test with multiple testing corrected p-values

test_heteroskedasticity(method[, ...])

Test for heteroskedasticity of standardized residuals

test_normality(method)

Test for normality of standardized residuals.

test_serial_correlation(method[, df_adjust, ...])

Ljung-Box test for no serial correlation of standardized residuals

wald_test(r_matrix[, cov_p, invcov, use_f, ...])

Compute a Wald-test for a joint linear hypothesis

wald_test_terms([skip_single, ...])

Compute a sequence of Wald tests for terms over multiple columns

Methods

append(endog[, exog, refit, fit_kwargs, ...])

Recreate the results object with new data appended to the original data

apply(endog[, exog, refit, fit_kwargs, ...])

Apply the fitted parameters to new data unrelated to the original data

conf_int([alpha])

Construct confidence interval for the fitted parameters

cov_params([r_matrix, column, scale, cov_p, ...])

Compute the variance/covariance matrix

extend(endog[, exog, fit_kwargs])

Recreate the results object for new data that extends the original data

f_test(r_matrix[, cov_p, invcov])

Compute the F-test for a joint linear hypothesis

forecast([steps, signal_only])

Out-of-sample forecasts

get_forecast([steps, signal_only])

Out-of-sample forecasts and prediction intervals

get_prediction([start, end, dynamic, ...])

In-sample prediction and out-of-sample forecasting

get_smoothed_decomposition([...])

Decompose smoothed output into contributions from observations

impulse_responses([steps, impulse, ...])

Impulse response function

info_criteria(criteria[, method])

Information criteria

initialize(model, params, **kwargs)

Initialize (possibly re-initialize) a Results instance

load(fname)

Load a pickled results instance

news(comparison[, impact_date, ...])

Compute impacts from updated data (news and revisions)

normalized_cov_params()

See specific model class docstring

plot_diagnostics([variable, lags, fig, ...])

Diagnostic plots for standardized residuals of one endogenous variable

predict([start, end, dynamic, ...])

In-sample prediction and out-of-sample forecasting

remove_data()

Remove data arrays, all nobs arrays from result and model

save(fname[, remove_data])

Save a pickle of this instance

simulate(nsimulations[, measurement_shocks, ...])

Simulate a new time series following the state space model

summary([alpha, start, title, model_name, ...])

Summarize the Model

t_test(r_matrix[, cov_p, use_t])

Compute a t-test for each linear hypothesis of the form Rb = q

t_test_pairwise(term_name[, method, alpha, ...])

Perform pairwise t_test with multiple testing corrected p-values

test_heteroskedasticity(method[, ...])

Test for heteroskedasticity of standardized residuals

test_normality(method)

Test for normality of standardized residuals.

test_serial_correlation(method[, df_adjust, ...])

Ljung-Box test for no serial correlation of standardized residuals

wald_test(r_matrix[, cov_p, invcov, use_f, ...])

Compute a Wald-test for a joint linear hypothesis

wald_test_terms([skip_single, ...])

Compute a sequence of Wald tests for terms over multiple columns

Properties

aic

(float) Akaike Information Criterion

aicc

(float) Akaike Information Criterion with small sample correction

bic

(float) Bayes Information Criterion

bse

The standard errors of the parameter estimates

cov_params_approx

(array) The variance / covariance matrix.

cov_params_oim

(array) The variance / covariance matrix.

cov_params_opg

(array) The variance / covariance matrix.

cov_params_robust

(array) The QMLE variance / covariance matrix.

cov_params_robust_approx

(array) The QMLE variance / covariance matrix.

cov_params_robust_oim

(array) The QMLE variance / covariance matrix.

fittedvalues

(array) The predicted values of the model.

hqic

(float) Hannan-Quinn Information Criterion

llf

(float) The value of the log-likelihood function evaluated at params

llf_obs

(float) The value of the log-likelihood function evaluated at params

loglikelihood_burn

(float) The number of observations during which the likelihood is not evaluated

mae

(float) Mean absolute error

mse

(float) Mean squared error

pvalues

(array) The p-values associated with the z-statistics of the coefficients.

resid

(array) The model residuals.

sse

(float) Sum of squared errors

states

tvalues

Return the t-statistic for a given parameter estimate

use_t

Flag indicating to use the Student's distribution in inference

zvalues

(array) The z-statistics for the coefficients