# Created by Octave 3.6.1, Wed Mar 28 20:33:11 2012 UTC # name: cache # type: cell # rows: 3 # columns: 33 # name: # type: sq_string # elements: 1 # length: 15 average_moments # name: # type: sq_string # elements: 1 # length: 35 for internal use by gmm_estimate # name: # type: sq_string # elements: 1 # length: 35 for internal use by gmm_estimate # name: # type: sq_string # elements: 1 # length: 12 delta_method # name: # type: sq_string # elements: 1 # length: 92 Computes Delta method mean and covariance of a nonlinear transformation defined by "func" # name: # type: sq_string # elements: 1 # length: 80 Computes Delta method mean and covariance of a nonlinear transformation define # name: # type: sq_string # elements: 1 # length: 12 gmm_estimate # name: # type: sq_string # elements: 1 # length: 927 usage: [theta, obj_value, convergence, iters] = gmm_estimate(theta, data, weight, moments, momentargs, control, nslaves) inputs: theta: column vector initial parameters data: data matrix weight: the GMM weight matrix moments: name of function computes the moments (should return nXg matrix of contributions) momentargs: (cell) additional inputs needed to compute moments. May be empty ("") control: (optional) BFGS or SA controls (see bfgsmin and samin). May be empty (""). nslaves: (optional) number of slaves if executed in parallel (requires MPITB) outputs: theta: GMM estimate of parameters obj_value: the value of the gmm obj. function convergence: return code from bfgsmin (1 means success, see bfgsmin for details) iters: number of BFGS iteration used please type "gmm_example" while in octave to see an example # name: # type: sq_string # elements: 1 # length: 80 usage: [theta, obj_value, convergence, iters] = gmm_estimate(theta, # name: # type: sq_string # elements: 1 # length: 11 gmm_example # name: # type: sq_string # elements: 1 # length: 126 GMM example file, shows initial consistent estimator, estimation of efficient weight, and second round efficient estimator # name: # type: sq_string # elements: 1 # length: 80 GMM example file, shows initial consistent estimator, estimation of efficient # name: # type: sq_string # elements: 1 # length: 7 gmm_obj # name: # type: sq_string # elements: 1 # length: 206 The GMM objective function, for internal use by gmm_estimate This is scaled so that it converges to a finite number. To get the chi-square specification test you need to multiply by n (the sample size) # name: # type: sq_string # elements: 1 # length: 80 The GMM objective function, for internal use by gmm_estimate This is scaled so # name: # type: sq_string # elements: 1 # length: 11 gmm_results # name: # type: sq_string # elements: 1 # length: 1145 usage: [theta, V, obj_value] = gmm_results(theta, data, weight, moments, momentargs, names, title, unscale, control, nslaves) inputs: theta: column vector initial parameters data: data matrix weight: the GMM weight matrix moments: name of function computes the moments (should return nXg matrix of contributions) momentargs: (cell) additional inputs needed to compute moments. May be empty ("") names: vector of parameter names e.g., names = char("param1", "param2"); title: string, describes model estimated unscale: (optional) cell that holds means and std. dev. of data (see scale_data) control: (optional) BFGS or SA controls (see bfgsmin and samin). May be empty (""). nslaves: (optional) number of slaves if executed in parallel (requires MPITB) outputs: theta: GMM estimated parameters V: estimate of covariance of parameters. Assumes the weight matrix is optimal (inverse of covariance of moments) obj_value: the value of the GMM objective function please type "gmm_example" while in octave to see an example # name: # type: sq_string # elements: 1 # length: 80 usage: [theta, V, obj_value] = gmm_results(theta, data, weight, moments, mome # name: # type: sq_string # elements: 1 # length: 12 gmm_variance # name: # type: sq_string # elements: 1 # length: 49 GMM variance, which assumes weights are optimal # name: # type: sq_string # elements: 1 # length: 49 GMM variance, which assumes weights are optimal # name: # type: sq_string # elements: 1 # length: 24 gmm_variance_inefficient # name: # type: sq_string # elements: 1 # length: 53 GMM variance, which assumes weights are not optimal # name: # type: sq_string # elements: 1 # length: 53 GMM variance, which assumes weights are not optimal # name: # type: sq_string # elements: 1 # length: 14 kernel_density # name: # type: sq_string # elements: 1 # length: 1178 kernel_density: multivariate kernel density estimator usage: dens = kernel_density(eval_points, data, bandwidth) inputs: eval_points: PxK matrix of points at which to calculate the density data: NxK matrix of data points bandwidth: positive scalar, the smoothing parameter. The fit is more smooth as the bandwidth increases. kernel (optional): string. Name of the kernel function. Default is Gaussian kernel. prewhiten bool (optional): default false. If true, rotate data using Choleski decomposition of inverse of covariance, to approximate independence after the transformation, which makes a product kernel a reasonable choice. do_cv: bool (optional). default false. If true, calculate leave-1-out density for cross validation computenodes: int (optional, default 0). Number of compute nodes for parallel evaluation debug: bool (optional, default false). show results on compute nodes if doing a parallel run outputs: dens: Px1 vector: the fitted density value at each of the P evaluation points. References: Wand, M.P. and Jones, M.C. (1995), 'Kernel smoothing'. http://www.xplore-stat.de/ebooks/scripts/spm/html/spmhtmlframe73.html # name: # type: sq_string # elements: 1 # length: 55 kernel_density: multivariate kernel density estimator # name: # type: sq_string # elements: 1 # length: 22 kernel_density_cvscore # name: # type: sq_string # elements: 1 # length: 38 some kernels can assign zero density # name: # type: sq_string # elements: 1 # length: 38 some kernels can assign zero density # name: # type: sq_string # elements: 1 # length: 20 kernel_density_nodes # name: # type: sq_string # elements: 1 # length: 87 kernel_density_nodes: for internal use by kernel_density - does calculations on nodes # name: # type: sq_string # elements: 1 # length: 80 kernel_density_nodes: for internal use by kernel_density - does calculations on # name: # type: sq_string # elements: 1 # length: 14 kernel_example # name: # type: sq_string # elements: 1 # length: 161 kernel_example: examples of how to use kernel density and regression functions requires the optim and plot packages from Octave Forge usage: kernel_example; # name: # type: sq_string # elements: 1 # length: 80 kernel_example: examples of how to use kernel density and regression functions # name: # type: sq_string # elements: 1 # length: 24 kernel_optimal_bandwidth # name: # type: sq_string # elements: 1 # length: 309 kernel_optimal_bandwidth: find optimal bandwith doing leave-one-out cross validation inputs: * data: data matrix * depvar: column vector or empty (""). If empty, do kernel density, orherwise, kernel regression * kernel (optional, string) the kernel function to use output: * h: the optimal bandwidth # name: # type: sq_string # elements: 1 # length: 80 kernel_optimal_bandwidth: find optimal bandwith doing leave-one-out cross valid # name: # type: sq_string # elements: 1 # length: 17 kernel_regression # name: # type: sq_string # elements: 1 # length: 1100 kernel_regression: kernel regression estimator usage: fit = kernel_regression(eval_points, depvar, condvars, bandwidth) inputs: eval_points: PxK matrix of points at which to calculate the density depvar: Nx1 vector of observations of the dependent variable condvars: NxK matrix of data points bandwidth (optional): positive scalar, the smoothing parameter. Default is N ^ (-1/(4+K)) kernel (optional): string. Name of the kernel function. Default is Gaussian kernel. prewhiten bool (optional): default true. If true, rotate data using Choleski decomposition of inverse of covariance, to approximate independence after the transformation, which makes a product kernel a reasonable choice. do_cv: bool (optional). default false. If true, calculate leave-1-out fit to calculate the cross validation score computenodes: int (optional, default 0). Number of compute nodes for parallel evaluation debug: bool (optional, default false). show results on compute nodes if doing a parallel run outputs: fit: Px1 vector: the fitted value at each of the P evaluation points. # name: # type: sq_string # elements: 1 # length: 48 kernel_regression: kernel regression estimator # name: # type: sq_string # elements: 1 # length: 23 kernel_regression_nodes # name: # type: sq_string # elements: 1 # length: 93 kernel_regression_nodes: for internal use by kernel_regression - does calculations on nodes # name: # type: sq_string # elements: 1 # length: 80 kernel_regression_nodes: for internal use by kernel_regression - does calculati # name: # type: sq_string # elements: 1 # length: 12 mle_estimate # name: # type: sq_string # elements: 1 # length: 758 usage: [theta, obj_value, conv, iters] = mle_estimate(theta, data, model, modelargs, control, nslaves) inputs: theta: column vector of model parameters data: data matrix model: name of function that computes log-likelihood modelargs: (cell) additional inputs needed by model. May be empty ("") control: (optional) BFGS or SA controls (see bfgsmin and samin). May be empty (""). nslaves: (optional) number of slaves if executed in parallel (requires MPITB) outputs: theta: ML estimated value of parameters obj_value: the value of the log likelihood function at ML estimate conv: return code from bfgsmin (1 means success, see bfgsmin for details) iters: number of BFGS iteration used please see mle_example.m for examples of how to use this # name: # type: sq_string # elements: 1 # length: 80 usage: [theta, obj_value, conv, iters] = mle_estimate(theta, data, model, mode # name: # type: sq_string # elements: 1 # length: 11 mle_example # name: # type: sq_string # elements: 1 # length: 42 Example to show how to use MLE functions # name: # type: sq_string # elements: 1 # length: 42 Example to show how to use MLE functions # name: # type: sq_string # elements: 1 # length: 7 mle_obj # name: # type: sq_string # elements: 1 # length: 178 usage: [obj_value, score] = mle_obj(theta, data, model, modelargs, nslaves) Returns the average log-likelihood for a specified model This is for internal use by mle_estimate # name: # type: sq_string # elements: 1 # length: 77 usage: [obj_value, score] = mle_obj(theta, data, model, modelargs, nslaves) # name: # type: sq_string # elements: 1 # length: 13 mle_obj_nodes # name: # type: sq_string # elements: 1 # length: 11 Who am I? # name: # type: sq_string # elements: 1 # length: 11 Who am I? # name: # type: sq_string # elements: 1 # length: 11 mle_results # name: # type: sq_string # elements: 1 # length: 918 usage: [theta, V, obj_value, infocrit] = mle_results(theta, data, model, modelargs, names, title, unscale, control) inputs: theta: column vector of model parameters data: data matrix model: name of function that computes log-likelihood modelargs: (cell) additional inputs needed by model. May be empty ("") names: vector of parameter names, e.g., use names = char("param1", "param2"); title: string, describes model estimated unscale: (optional) cell that holds means and std. dev. of data (see scale_data) control: (optional) BFGS or SA controls (see bfgsmin and samin). May be empty (""). nslaves: (optional) number of slaves if executed in parallel (requires MPITB) outputs: theta: ML estimated value of parameters obj_value: the value of the log likelihood function at ML estimate conv: return code from bfgsmin (1 means success, see bfgsmin for details) iters: number of BFGS iteration used # name: # type: sq_string # elements: 1 # length: 80 usage: [theta, V, obj_value, infocrit] = mle_results(theta, data, model, mo # name: # type: sq_string # elements: 1 # length: 12 mle_variance # name: # type: sq_string # elements: 1 # length: 122 usage: [V,scorecontribs,J_inv] = mle_variance(theta, data, model, modelargs) This is for internal use by mle_results # name: # type: sq_string # elements: 1 # length: 80 usage: [V,scorecontribs,J_inv] = mle_variance(theta, data, model, modelargs) # name: # type: sq_string # elements: 1 # length: 12 nls_estimate # name: # type: sq_string # elements: 1 # length: 780 usage: [theta, obj_value, conv, iters] = nls_estimate(theta, data, model, modelargs, control, nslaves) inputs: theta: column vector of model parameters data: data matrix model: name of function that computes the vector of sums of squared errors modelargs: (cell) additional inputs needed by model. May be empty ("") control: (optional) BFGS or SA controls (see bfgsmin and samin). May be empty (""). nslaves: (optional) number of slaves if executed in parallel (requires MPITB) outputs: theta: NLS estimated value of parameters obj_value: the value of the sum of squared errors at NLS estimate conv: return code from bfgsmin (1 means success, see bfgsmin for details) iters: number of BFGS iteration used please see nls_example.m for examples of how to use this # name: # type: sq_string # elements: 1 # length: 80 usage: [theta, obj_value, conv, iters] = nls_estimate(theta, data, model, mode # name: # type: sq_string # elements: 1 # length: 11 nls_example # name: # type: sq_string # elements: 1 # length: 56 define arguments for nls_estimate # starting values # name: # type: sq_string # elements: 1 # length: 38 define arguments for nls_estimate # # name: # type: sq_string # elements: 1 # length: 7 nls_obj # name: # type: sq_string # elements: 1 # length: 185 usage: [obj_value, score] = nls_obj(theta, data, model, modelargs, nslaves) Returns the average sum of squared errors for a specified model This is for internal use by nls_estimate # name: # type: sq_string # elements: 1 # length: 77 usage: [obj_value, score] = nls_obj(theta, data, model, modelargs, nslaves) # name: # type: sq_string # elements: 1 # length: 13 nls_obj_nodes # name: # type: sq_string # elements: 1 # length: 42 This is for internal use by nls_estimate # name: # type: sq_string # elements: 1 # length: 42 This is for internal use by nls_estimate # name: # type: sq_string # elements: 1 # length: 12 parameterize # name: # type: sq_string # elements: 1 # length: 316 usage: theta = parameterize(theta, otherargs) This is an empty function, provided so that delta_method will work as is. Replace it with the parameter transformations your models use. Note: you can let "otherargs" contain the model name so that this function can do parameterizations for a variety of models # name: # type: sq_string # elements: 1 # length: 80 usage: theta = parameterize(theta, otherargs) This is an empty function, pro # name: # type: sq_string # elements: 1 # length: 7 poisson # name: # type: sq_string # elements: 1 # length: 65 Example likelihood function (Poisson for count data) with score # name: # type: sq_string # elements: 1 # length: 65 Example likelihood function (Poisson for count data) with score # name: # type: sq_string # elements: 1 # length: 15 poisson_moments # name: # type: sq_string # elements: 1 # length: 53 the form a user-written moment function should take # name: # type: sq_string # elements: 1 # length: 53 the form a user-written moment function should take # name: # type: sq_string # elements: 1 # length: 11 prettyprint # name: # type: sq_string # elements: 1 # length: 49 this prints matrices with row and column labels # name: # type: sq_string # elements: 1 # length: 49 this prints matrices with row and column labels # name: # type: sq_string # elements: 1 # length: 13 prettyprint_c # name: # type: sq_string # elements: 1 # length: 59 this prints matrices with column labels but no row labels # name: # type: sq_string # elements: 1 # length: 59 this prints matrices with column labels but no row labels # name: # type: sq_string # elements: 1 # length: 10 scale_data # name: # type: sq_string # elements: 1 # length: 69 Standardizes and normalizes data matrix, primarily for use by BFGS # name: # type: sq_string # elements: 1 # length: 69 Standardizes and normalizes data matrix, primarily for use by BFGS # name: # type: sq_string # elements: 1 # length: 17 sum_moments_nodes # name: # type: sq_string # elements: 1 # length: 34 for internal use by gmm_estimate # name: # type: sq_string # elements: 1 # length: 34 for internal use by gmm_estimate # name: # type: sq_string # elements: 1 # length: 18 unscale_parameters # name: # type: sq_string # elements: 1 # length: 86 Unscales parameters that were estimated using scaled data primarily for use by BFGS # name: # type: sq_string # elements: 1 # length: 80 Unscales parameters that were estimated using scaled data primarily for use by