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  "Description": "Specify, solve, and estimate dynamic stochastic general\nequilibrium (DSGE) models by maximum likelihood and Bayesian\nmethods. Supports both linear models via an equation-based\nformula interface and nonlinear models via string-based\nequations with perturbation up to third order (Schmitt-Grohe\nand Uribe, 2004 <doi:10.1016/S0165-1889(03)00043-5>). Solution\nuses the method of undetermined coefficients (Klein, 2000\n<doi:10.1016/S0165-1889(99)00045-7>). Likelihood evaluated via\nthe Kalman filter or a bootstrap particle filter (Gordon et\nal., 1993). Bayesian estimation uses adaptive Random-Walk\nMetropolis-Hastings or Particle Marginal Metropolis-Hastings\n(Andrieu et al., 2010 <doi:10.1111/j.1467-9868.2009.00736.x>)\nwith parallel chain support. Additional tools include Bayes\nfactor model comparison with Kass-Raftery evidence scales,\nRamsey optimal policy via linear-quadratic regulator, nonlinear\nperfect foresight via stacked-time Newton (Juillard et al.,\n1998), Kalman smoothing, historical shock decomposition, local\nidentification diagnostics, parameter sensitivity analysis,\noccasionally binding constraints, impulse-response functions,\nforecasting, and robust standard errors.",
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  "_exports": [
    "bayes_dsge",
    "bayes_dsge_var",
    "bayes_dsge_var_mh",
    "bayes_factor",
    "bayes_particle",
    "bayes_smc",
    "calibrated_smoother",
    "check_identification",
    "conditional_forecast",
    "discretionary_policy",
    "dsge_model",
    "dsgenl_model",
    "E",
    "endogenous_prior",
    "estimate",
    "extended_path",
    "forecast",
    "geweke_test",
    "global_sensitivity",
    "gmm_estimate",
    "irf",
    "irf_2nd_order",
    "irf_match",
    "kalman_filter_skewed",
    "lead",
    "linearize",
    "marginal_likelihood",
    "mcmc_diagnostics",
    "model_covariance",
    "model_latex",
    "ms_filter",
    "obc_constraint",
    "obs",
    "osr",
    "pac_simulate",
    "pac_target_loading",
    "pac_weights",
    "parameter_sensitivity",
    "particle_filter",
    "particle_filter_loglik",
    "perfect_foresight",
    "perfect_foresight_expect_err",
    "perfect_foresight_nonlinear",
    "policy_matrix",
    "posterior_predictive",
    "predetermined",
    "prediction_accuracy",
    "prediction_interval",
    "prior",
    "prior_posterior_update",
    "ramsey_policy",
    "read_dynare",
    "robust_vcov",
    "shock_decomposition",
    "simulate_2nd_order",
    "simulate_3rd_order",
    "simulate_occbin",
    "simulate_perfect_foresight",
    "smm_estimate",
    "smooth_shocks",
    "smooth_states",
    "solve_dsge",
    "stability",
    "state",
    "steady_state",
    "transition_matrix",
    "unobs",
    "variance_decomposition",
    "welfare_loss"
  ],
  "_help": [
    {
      "page": "bayes_dsge",
      "title": "Estimate a DSGE Model by Bayesian Methods",
      "topics": [
        "bayes_dsge"
      ]
    },
    {
      "page": "bayes_dsge_var",
      "title": "Bayesian VAR with DSGE-Implied Prior (DSGE-VAR)",
      "topics": [
        "bayes_dsge_var"
      ]
    },
    {
      "page": "bayes_dsge_var_mh",
      "title": "Joint Bayesian Estimation of DSGE-VAR(lambda)",
      "topics": [
        "bayes_dsge_var_mh"
      ]
    },
    {
      "page": "bayes_factor",
      "title": "Bayes factor and posterior odds ratio for DSGE model comparison",
      "topics": [
        "bayes_factor"
      ]
    },
    {
      "page": "bayes_particle",
      "title": "Bayesian DSGE Estimation Using Particle Marginal Metropolis-Hastings",
      "topics": [
        "bayes_particle"
      ]
    },
    {
      "page": "bayes_smc",
      "title": "Tempered Sequential Monte Carlo Sampler for DSGE Estimation",
      "topics": [
        "bayes_smc"
      ]
    },
    {
      "page": "calibrated_smoother",
      "title": "Run the Kalman Smoother on a Calibrated Model",
      "topics": [
        "calibrated_smoother"
      ]
    },
    {
      "page": "check_identification",
      "title": "Check Local Identification of DSGE Parameters",
      "topics": [
        "check_identification",
        "check_identification.dsge_bayes",
        "check_identification.dsge_fit"
      ]
    },
    {
      "page": "conditional_forecast",
      "title": "Conditional Forecast",
      "topics": [
        "conditional_forecast",
        "conditional_forecast.dsge_fit"
      ]
    },
    {
      "page": "conditional_forecast.dsge_dsgevar",
      "title": "Conditional Forecast for a DSGE-VAR Posterior",
      "topics": [
        "conditional_forecast.dsge_dsgevar",
        "conditional_forecast.dsge_dsgevar_mh"
      ]
    },
    {
      "page": "discretionary_policy",
      "title": "Discretionary (Time-Consistent) Optimal Policy",
      "topics": [
        "discretionary_policy"
      ]
    },
    {
      "page": "dsge_model",
      "title": "Define a Linear DSGE Model",
      "topics": [
        "dsge_model"
      ]
    },
    {
      "page": "dsgenl_model",
      "title": "Define a Nonlinear DSGE Model",
      "topics": [
        "dsgenl_model"
      ]
    },
    {
      "page": "E",
      "title": "Expectation Operator (Alias for lead)",
      "topics": [
        "E"
      ]
    },
    {
      "page": "endogenous_prior",
      "title": "Endogenous Prior on Model-Implied Moments",
      "topics": [
        "endogenous_prior"
      ]
    },
    {
      "page": "estimate",
      "title": "Estimate a Linear DSGE Model by Maximum Likelihood",
      "topics": [
        "estimate"
      ]
    },
    {
      "page": "extended_path",
      "title": "Stochastic Simulation via the Extended Path",
      "topics": [
        "extended_path"
      ]
    },
    {
      "page": "fitted.dsge_fit",
      "title": "Fitted values from a DSGE model",
      "topics": [
        "fitted.dsge_fit"
      ]
    },
    {
      "page": "forecast",
      "title": "Forecast from a DSGE Model",
      "topics": [
        "forecast"
      ]
    },
    {
      "page": "forecast.dsge_dsgevar",
      "title": "Forecasts from a DSGE-VAR Posterior",
      "topics": [
        "forecast.dsge_dsgevar",
        "forecast.dsge_dsgevar_mh"
      ]
    },
    {
      "page": "forecast.dsge_fit",
      "title": "Forecast from a Fitted DSGE Model",
      "topics": [
        "forecast.dsge_fit"
      ]
    },
    {
      "page": "geweke_test",
      "title": "Geweke convergence diagnostic",
      "topics": [
        "geweke_test"
      ]
    },
    {
      "page": "global_sensitivity",
      "title": "Global Sensitivity Analysis of a DSGE Model",
      "topics": [
        "global_sensitivity"
      ]
    },
    {
      "page": "gmm_estimate",
      "title": "Generalised Method of Moments (GMM) Estimation",
      "topics": [
        "gmm_estimate"
      ]
    },
    {
      "page": "irf_2nd_order",
      "title": "Generalized IRFs Using Second-Order Approximation",
      "topics": [
        "irf_2nd_order"
      ]
    },
    {
      "page": "irf_match",
      "title": "Impulse-Response Matching Estimation",
      "topics": [
        "irf_match"
      ]
    },
    {
      "page": "irf",
      "title": "Compute Impulse-Response Functions",
      "topics": [
        "irf",
        "irf.dsge_bayes"
      ]
    },
    {
      "page": "kalman_filter_skewed",
      "title": "Skewed Kalman Filter for Skew-Normal Structural Shocks",
      "topics": [
        "kalman_filter_skewed"
      ]
    },
    {
      "page": "lead",
      "title": "Forward Lead Operator for DSGE Equations",
      "topics": [
        "lead"
      ]
    },
    {
      "page": "linearize",
      "title": "Linearize a Nonlinear DSGE Model",
      "topics": [
        "linearize"
      ]
    },
    {
      "page": "marginal_likelihood",
      "title": "Marginal likelihood estimation",
      "topics": [
        "marginal_likelihood"
      ]
    },
    {
      "page": "mcmc_diagnostics",
      "title": "MCMC diagnostic summary",
      "topics": [
        "mcmc_diagnostics"
      ]
    },
    {
      "page": "model_covariance",
      "title": "Model-implied covariance and correlation matrices",
      "topics": [
        "model_covariance"
      ]
    },
    {
      "page": "model_latex",
      "title": "Export DSGE Model Equations to LaTeX",
      "topics": [
        "model_latex"
      ]
    },
    {
      "page": "ms_filter",
      "title": "Markov-Switching Volatility Filter (Kim 1994)",
      "topics": [
        "ms_filter"
      ]
    },
    {
      "page": "obc_constraint",
      "title": "Create an Occasionally Binding Constraint",
      "topics": [
        "obc_constraint"
      ]
    },
    {
      "page": "obs",
      "title": "Define an Observed Control Variable Equation",
      "topics": [
        "obs"
      ]
    },
    {
      "page": "osr",
      "title": "Optimal Simple (Restricted) Policy Rules",
      "topics": [
        "osr"
      ]
    },
    {
      "page": "pac_simulate",
      "title": "Simulate a PAC Equation Along a Target Path",
      "topics": [
        "pac_simulate"
      ]
    },
    {
      "page": "pac_target_loading",
      "title": "Closed-Form Loading of a PAC Forward Sum on a Linear State Process",
      "topics": [
        "pac_target_loading"
      ]
    },
    {
      "page": "pac_weights",
      "title": "Solve a Polynomial Adjustment Cost (PAC) Equation",
      "topics": [
        "pac_weights"
      ]
    },
    {
      "page": "parameter_sensitivity",
      "title": "Parameter Sensitivity Analysis for DSGE Models",
      "topics": [
        "parameter_sensitivity",
        "parameter_sensitivity.dsge_bayes",
        "parameter_sensitivity.dsge_fit"
      ]
    },
    {
      "page": "particle_filter",
      "title": "Bootstrap Particle Filter",
      "topics": [
        "particle_filter"
      ]
    },
    {
      "page": "particle_filter_loglik",
      "title": "Particle Filter Log-Likelihood for a DSGE Solution",
      "topics": [
        "particle_filter_loglik"
      ]
    },
    {
      "page": "perfect_foresight",
      "title": "Perfect Foresight / Deterministic Transition Paths",
      "topics": [
        "perfect_foresight"
      ]
    },
    {
      "page": "perfect_foresight_expect_err",
      "title": "Perfect Foresight Simulation with Expectation Errors",
      "topics": [
        "perfect_foresight_expect_err"
      ]
    },
    {
      "page": "perfect_foresight_nonlinear",
      "title": "Perfect Foresight for Nonlinear DSGE Models",
      "topics": [
        "perfect_foresight_nonlinear"
      ]
    },
    {
      "page": "plot.dsge_bayes",
      "title": "Plot Bayesian DSGE Results",
      "topics": [
        "plot.dsge_bayes"
      ]
    },
    {
      "page": "plot.dsge_decomposition",
      "title": "Plot Historical Shock Decomposition",
      "topics": [
        "plot.dsge_decomposition"
      ]
    },
    {
      "page": "plot.dsge_forecast",
      "title": "Plot DSGE Forecasts",
      "topics": [
        "plot.dsge_forecast"
      ]
    },
    {
      "page": "plot.dsge_irf",
      "title": "Plot Impulse-Response Functions",
      "topics": [
        "plot.dsge_irf"
      ]
    },
    {
      "page": "plot.dsge_occbin",
      "title": "Plot OccBin Simulation Results",
      "topics": [
        "plot.dsge_occbin"
      ]
    },
    {
      "page": "plot.dsge_perfect_foresight",
      "title": "Plot Perfect Foresight Transition Paths",
      "topics": [
        "plot.dsge_perfect_foresight"
      ]
    },
    {
      "page": "plot.dsge_smoothed",
      "title": "Plot Smoothed States",
      "topics": [
        "plot.dsge_smoothed"
      ]
    },
    {
      "page": "plot.dsge_variance_decomposition",
      "title": "Plot a Variance Decomposition",
      "topics": [
        "plot.dsge_variance_decomposition"
      ]
    },
    {
      "page": "policy_matrix",
      "title": "Extract Policy Matrix",
      "topics": [
        "policy_matrix"
      ]
    },
    {
      "page": "posterior_predictive",
      "title": "Posterior predictive check",
      "topics": [
        "posterior_predictive"
      ]
    },
    {
      "page": "predetermined",
      "title": "Declare a Predetermined (Backward-Looking) State Variable",
      "topics": [
        "predetermined"
      ]
    },
    {
      "page": "predict.dsge_fit",
      "title": "Predict Method for DSGE Models",
      "topics": [
        "predict.dsge_fit"
      ]
    },
    {
      "page": "prediction_accuracy",
      "title": "Prediction accuracy measures for a fitted DSGE model",
      "topics": [
        "prediction_accuracy"
      ]
    },
    {
      "page": "prediction_interval",
      "title": "Prediction intervals for DSGE models",
      "topics": [
        "prediction_interval"
      ]
    },
    {
      "page": "prior",
      "title": "Specify a Prior Distribution",
      "topics": [
        "prior"
      ]
    },
    {
      "page": "prior_posterior_update",
      "title": "Prior-Posterior Update Diagnostics",
      "topics": [
        "prior_posterior_update",
        "prior_posterior_update.dsge_bayes"
      ]
    },
    {
      "page": "ramsey_policy",
      "title": "Ramsey Optimal Policy for a DSGE Model",
      "topics": [
        "ramsey_policy"
      ]
    },
    {
      "page": "read_dynare",
      "title": "Import a Dynare .mod File",
      "topics": [
        "read_dynare"
      ]
    },
    {
      "page": "residuals.dsge_fit",
      "title": "Residuals from a fitted DSGE model",
      "topics": [
        "residuals.dsge_fit"
      ]
    },
    {
      "page": "robust_vcov",
      "title": "Robust (sandwich) variance-covariance matrix",
      "topics": [
        "robust_vcov"
      ]
    },
    {
      "page": "shock_decomposition",
      "title": "Historical Shock Decomposition",
      "topics": [
        "shock_decomposition",
        "shock_decomposition.dsge_bayes",
        "shock_decomposition.dsge_fit",
        "shock_decomposition.dsge_solution"
      ]
    },
    {
      "page": "simulate_2nd_order",
      "title": "Simulate Using Second-Order Approximation (Pruned)",
      "topics": [
        "simulate_2nd_order"
      ]
    },
    {
      "page": "simulate_3rd_order",
      "title": "Simulate Using Third-Order Approximation (Pruned)",
      "topics": [
        "simulate_3rd_order"
      ]
    },
    {
      "page": "simulate_occbin",
      "title": "Simulate with Occasionally Binding Constraints",
      "topics": [
        "simulate_occbin"
      ]
    },
    {
      "page": "simulate_perfect_foresight",
      "title": "Perfect-foresight simulation of an imported Dynare model",
      "topics": [
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    },
    {
      "page": "smm_estimate",
      "title": "Simulated Method of Moments (SMM) Estimation",
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        "smooth_shocks.dsge_fit",
        "smooth_shocks.dsge_solution"
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      "title": "Robust vcov via vcov generic",
      "topics": [
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    {
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      "title": "Evaluate Welfare Loss Under a Given Policy",
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      "source": "introduction.Rmd",
      "filename": "introduction.html",
      "title": "Introduction to the dsge Package",
      "author": "Mustapha Wasseja Mohammed",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Overview",
        "A Simple AR(1) Model",
        "Simulate Data",
        "Specify the Model",
        "Solve at Known Parameters",
        "Estimate the Model",
        "Postestimation",
        "Impulse-Response Functions",
        "Forecasting",
        "A Three-Equation New Keynesian Model",
        "Model Specification",
        "Simulate and Estimate",
        "Nonlinear DSGE Models",
        "A Simple RBC Model",
        "Steady State",
        "Solve and Inspect",
        "IRFs",
        "Bayesian Estimation",
        "Specifying Priors",
        "Running the Sampler",
        "Posterior Diagnostics and IRFs",
        "What This Package Currently Supports",
        "Notes"
      ],
      "created": "2026-04-02 11:13:39",
      "modified": "2026-09-25 14:10:02",
      "commits": 2
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