{
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  "Package": "sfa",
  "Version": "1.2.1",
  "Date": "2026-09-07",
  "Title": "Stochastic Frontier Analysis",
  "Type": "Package",
  "Authors@R": "c(person(\"David\", \"Bernstein\",\nemail = \"davebernstein1@gmail.com\", role = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0002-2267-5741\")),\nperson(\"Christopher\", \"Parmeter\", role = c(\"aut\")),\nperson(\"Alexander\", \"Stead\", role = c(\"aut\")))",
  "Maintainer": "David Bernstein <davebernstein1@gmail.com>",
  "Description": "Maximum likelihood estimation of stochastic frontier\nmodels, in which observed output falls short of an unobserved\nproduction frontier by a one-sided inefficiency term in\naddition to symmetric noise, following Aigner, Lovell and\nSchmidt (1977) <doi:10.1016/0304-4076(77)90052-5> and Meeusen\nand van den Broeck (1977) <doi:10.2307/2525757>.\nCross-sectional models cover seventeen noise and inefficiency\ndistribution pairs, with heteroskedasticity permitted in either\nerror component. Panel models include the true fixed and random\neffects estimators of Greene (2005)\n<doi:10.1016/j.jeconom.2004.05.003> and the four-component\nmodel of Colombi, Kumbhakar, Martini and Vittadini (2014)\n<doi:10.1007/s11123-014-0386-y>. Further entry points address\nzero inefficiency, latent classes, two-tier frontiers, sample\nselection, nonparametric frontiers, dependence between the\nerror components, and endogenous regressors after Amsler,\nProkhorov and Schmidt (2016)\n<doi:10.1016/j.jeconom.2015.06.013>. Technical efficiency\nprediction, marginal effects, and specification tests for wrong\nskewness, for the assumed inefficiency distribution and for\nheteroskedasticity are provided.",
  "License": "GPL (>= 2)",
  "Language": "en-US",
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    "message": "Merge pull request #60 from davidhbernstein/fix/sfm-stationarity-check\n\nPolish and flag sfm() fits that stop short of a maximum (A62)\n\nCo-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>\n",
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    "dcomposed",
    "density_weights",
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    "gof_test",
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    "inefficiency_test",
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    "marginal_effects",
    "meanefficiency",
    "moment_range",
    "npsfm",
    "pcomposed",
    "pcomposed_model",
    "print.sfareg",
    "psfm",
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    "sfa_diagnostics",
    "sfm",
    "sfma",
    "simulation_se",
    "skewness_decomp",
    "skewness_test",
    "spec_test",
    "spec_test_all",
    "summary.sfareg",
    "symmetry_test",
    "TIC",
    "tt_boundary_report",
    "ttsfm",
    "uhet_test",
    "vuong",
    "zsfm"
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      "title": "Expenditure and output of Finnish electricity distribution firms",
      "object": "FinnishElec",
      "file": "FinnishElec.rda",
      "class": [
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      ],
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        "x",
        "y1",
        "y2",
        "y3",
        "z"
      ],
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      "table": true,
      "tojson": true
    },
    {
      "name": "Indian",
      "title": "Paddy farming in Aurepalle, India, 1975-76 to 1984-85",
      "object": "Indian",
      "file": "Indian.rda",
      "class": [
        "data.frame"
      ],
      "fields": [
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        "yr",
        "age",
        "school",
        "yvar",
        "Lland",
        "PIland",
        "Llabor",
        "Lbull",
        "Lcost"
      ],
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      "table": true,
      "tojson": true
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    {
      "name": "panel89",
      "title": "Costs of U.S. commercial banks, 1989",
      "object": "panel89",
      "file": "panel89.rda",
      "class": [
        "data.frame"
      ],
      "fields": [
        "y",
        "q1",
        "q2",
        "q3",
        "q4",
        "q5",
        "w1",
        "w2",
        "w3",
        "w4",
        "z"
      ],
      "rows": 4985,
      "table": true,
      "tojson": true
    },
    {
      "name": "USUtilities",
      "title": "U.S. fossil-fuel steam electric utilities, 1986-1997",
      "object": "USUtilities",
      "file": "USUtilities.rda",
      "class": [
        "data.frame"
      ],
      "fields": [
        "firmID",
        "year",
        "q",
        "K",
        "L",
        "F",
        "trend"
      ],
      "rows": 972,
      "table": true,
      "tojson": true
    }
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  "_help": [
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      "page": "sfa-package",
      "title": "Stochastic Frontier Analysis",
      "topics": [
        "sfa-package"
      ]
    },
    {
      "page": "calibrate_c",
      "title": "Fixed robustness parameter by weight matching",
      "topics": [
        "calibrate_c"
      ]
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    {
      "page": "copsfm",
      "title": "Stochastic Frontier with Dependent, and Optionally Skewed, Error Components",
      "topics": [
        "copsfm"
      ]
    },
    {
      "page": "cw_test",
      "title": "Chen and Wang (2012) centered-residuals moment test",
      "topics": [
        "cw_test",
        "print.cw_test"
      ]
    },
    {
      "page": "data.gen.cs",
      "title": "Generate Cross-Sectional Data for Stochastic Frontier Analysis",
      "topics": [
        "data_gen_cs"
      ]
    },
    {
      "page": "data.gen.p",
      "title": "Generate Panel Data for Stochastic Frontier Analysis",
      "topics": [
        "data_gen_p"
      ]
    },
    {
      "page": "density_weights",
      "title": "Density-power weights from a robust frontier fit",
      "topics": [
        "density_weights"
      ]
    },
    {
      "page": "efficiency",
      "title": "Technical Efficiency Scores",
      "topics": [
        "efficiency"
      ]
    },
    {
      "page": "efficiency_ci",
      "title": "Confidence Intervals for Individual Inefficiency and Efficiency",
      "topics": [
        "efficiency_ci"
      ]
    },
    {
      "page": "endogeneity_test",
      "title": "Were the regressors endogenous after all?",
      "topics": [
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        "print.sfa_endog_test"
      ]
    },
    {
      "page": "esfm",
      "title": "Stochastic frontier tolerating the wrong skewness",
      "topics": [
        "esfm",
        "print.esfm",
        "symmetry_test"
      ]
    },
    {
      "page": "FinnishElec",
      "title": "Expenditure and output of Finnish electricity distribution firms",
      "topics": [
        "FinnishElec"
      ]
    },
    {
      "page": "gof_test",
      "title": "Goodness-of-fit test for the assumed inefficiency distribution",
      "topics": [
        "gof_test"
      ]
    },
    {
      "page": "hscore",
      "title": "Hyvarinen score for a Normal-Half-Normal frontier fit",
      "topics": [
        "hscore"
      ]
    },
    {
      "page": "hscore_select",
      "title": "Select the robustness tuning parameter by Hyvarinen score",
      "topics": [
        "hscore_select",
        "print.sfa_hscore"
      ]
    },
    {
      "page": "Indian",
      "title": "Paddy farming in Aurepalle, India, 1975-76 to 1984-85",
      "topics": [
        "Indian"
      ]
    },
    {
      "page": "inefficiency_test",
      "title": "Test whether there is any technical inefficiency",
      "topics": [
        "inefficiency_test"
      ]
    },
    {
      "page": "influence_sfa",
      "title": "Which observations are driving this frontier fit?",
      "topics": [
        "influence_sfa",
        "print.sfa_influence"
      ]
    },
    {
      "page": "ivsfm",
      "title": "Stochastic Frontier Models with Endogenous Regressors",
      "topics": [
        "ivsfm"
      ]
    },
    {
      "page": "lcsfm",
      "title": "Latent Class Stochastic Frontier Models",
      "topics": [
        "lcsfm"
      ]
    },
    {
      "page": "lcsfm_homogeneity",
      "title": "Test a latent class frontier against homogeneity",
      "topics": [
        "lcsfm_homogeneity",
        "print.sfa_mlrt"
      ]
    },
    {
      "page": "marginal_effects",
      "title": "Marginal Effects of the Variance Determinants on Inefficiency",
      "topics": [
        "marginal_effects"
      ]
    },
    {
      "page": "meanefficiency",
      "title": "Model-Implied Mean Efficiency",
      "topics": [
        "meanefficiency"
      ]
    },
    {
      "page": "moment_range",
      "title": "What skewness and excess kurtosis can a pair of distributions produce?",
      "topics": [
        "moment_range",
        "print.sfa_moment_range"
      ]
    },
    {
      "page": "npsfm",
      "title": "Nonparametric Stochastic Frontier Models",
      "topics": [
        "npsfm",
        "print.npsfareg",
        "summary.npsfareg"
      ]
    },
    {
      "page": "panel89",
      "title": "Costs of U.S. commercial banks, 1989",
      "topics": [
        "panel89"
      ]
    },
    {
      "page": "pcomposed",
      "title": "The distribution of the composed error",
      "topics": [
        "dcomposed",
        "pcomposed"
      ]
    },
    {
      "page": "pcomposed_model",
      "title": "Composed-error distribution function for any cross-sectional model",
      "topics": [
        "composed_cdf",
        "pcomposed_model"
      ]
    },
    {
      "page": "PL80_MVTN",
      "title": "Pitt and Lee (1981) Model III: the multivariate truncated normal panel likelihood",
      "topics": [
        "PL80_MVTN"
      ]
    },
    {
      "page": "predict.sfareg",
      "title": "Predictions, fitted values and residuals for stochastic frontier fits",
      "topics": [
        "fitted.sfareg",
        "predict.sfareg",
        "residuals.sfareg"
      ]
    },
    {
      "page": "print.sfareg",
      "title": "Print method for \"sfareg\" objects",
      "topics": [
        "print.sfareg"
      ]
    },
    {
      "page": "psfm",
      "title": "Panel Stochastic Frontier Models",
      "topics": [
        "psfm"
      ]
    },
    {
      "page": "psfm_bootstrap",
      "title": "Parametric Bootstrap for 'psfm()' Panel Stochastic Frontier Models",
      "topics": [
        "psfm_bootstrap"
      ]
    },
    {
      "page": "selsfm",
      "title": "Stochastic Frontier Models with Sample Selection or Technology Choice",
      "topics": [
        "selsfm"
      ]
    },
    {
      "page": "sfa_diagnostics",
      "title": "Optimizer Diagnostics for Stochastic Frontier Fits",
      "topics": [
        "plot.sfareg",
        "print.sfadiag",
        "sfa_diagnostics"
      ]
    },
    {
      "page": "sfa-wrongskew",
      "title": "The wrong-skewness suite: what to do when the residuals lean the wrong way",
      "topics": [
        "sfa-wrongskew",
        "wrongskew"
      ]
    },
    {
      "page": "sfareg-methods",
      "title": "Extractor methods for \"sfareg\" objects",
      "topics": [
        "bread.sfareg",
        "coef.sfareg",
        "estfun.sfareg",
        "logLik.sfareg",
        "nobs.sfareg",
        "sfareg-methods",
        "vcov.sfareg"
      ]
    },
    {
      "page": "sfm",
      "title": "Cross-Sectional Stochastic Frontier Models",
      "topics": [
        "sfm"
      ]
    },
    {
      "page": "sfma",
      "title": "Average over inefficiency distributions instead of choosing one",
      "topics": [
        "print.sfma",
        "sfma"
      ]
    },
    {
      "page": "simulation_se",
      "title": "Simulation Standard Errors for Simulated-ML Fits",
      "topics": [
        "simulation_se"
      ]
    },
    {
      "page": "skewness_decomp",
      "title": "Where the skewness of the composed error comes from",
      "topics": [
        "print.sfa_skew_decomp",
        "skewness_decomp"
      ]
    },
    {
      "page": "skewness_test",
      "title": "Formal tests for wrong skewness in the OLS residuals",
      "topics": [
        "skewness_test"
      ]
    },
    {
      "page": "spec_test",
      "title": "Is this pair of distributions defensible?",
      "topics": [
        "print.sfa_spec_grid",
        "print.sfa_spec_test",
        "spec_test",
        "spec_test_all"
      ]
    },
    {
      "page": "summary.sfareg",
      "title": "Summary method for \"sfareg\" objects",
      "topics": [
        "summary.sfareg"
      ]
    },
    {
      "page": "TIC",
      "title": "Choosing between non-nested stochastic frontier specifications",
      "topics": [
        "print.sfa_vuong",
        "TIC",
        "vuong"
      ]
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