{
  "_id": "6ada91bcc9cc1e56bbac4f90",
  "Package": "qdfauction",
  "Type": "Package",
  "Title": "Nonparametric Quantile Density Estimation and Structural\nAnalysis of First-Price Auctions",
  "Version": "0.2.0",
  "Authors@R": "c(\nperson(\"Hassan\", \"Doosti\", role = c(\"aut\", \"cre\", \"cph\"),\nemail = \"Hassan.doosti@mq.edu.au\",\ncomment = c(ORCID = \"0000-0002-0290-8122\",\naffiliation = \"School of Mathematical and Physical Sciences, Macquarie University\")),\nperson(\"Yogendra P.\", \"Chaubey\", role = c(\"ctb\", \"cph\"),\ncomment = \"original R code of the quantile density estimators and cross-validation criteria, revised and vectorised in R/estimators.R and R/bandwidth.R\"),\nperson(\"Isha\", \"Dewan\", role = c(\"ctb\", \"cph\"),\ncomment = \"original R code of the quantile density estimators and cross-validation criteria, revised and vectorised in R/estimators.R and R/bandwidth.R\"),\nperson(\"Jun\", \"Li\", role = c(\"ctb\", \"cph\"),\ncomment = \"original R code of the quantile density estimators and cross-validation criteria, revised and vectorised in R/estimators.R and R/bandwidth.R\"),\nperson(\"Brent R.\", \"Hickman\", role = c(\"ctb\", \"cph\"),\ncomment = \"original MATLAB implementation of the boundary-corrected kernel density estimator, translated to R in kde_hh()\"),\nperson(\"Timothy P.\", \"Hubbard\", role = c(\"ctb\", \"cph\"),\ncomment = \"original MATLAB implementation of the boundary-corrected kernel density estimator, translated to R in kde_hh()\"),\nperson(\"Brani\", \"Vidakovic\", role = c(\"ctb\", \"cph\"),\ncomment = \"original MATLAB routines Phijk, dwtr, Idwtr and loc_lin, translated to R in scaling_function(), phi_jk(), dwt_periodic(), idwt_periodic() and loclin_smooth()\"),\nperson(\"Vadim\", \"Marmer\", role = c(\"ctb\", \"cph\"),\ncomment = \"original MATLAB implementation of the quantile-based estimator, translated to R in density_marmer_shneyerov(); reference implementation used to validate fpa_density_ci()\"),\nperson(\"Jun\", \"Ma\", role = \"ctb\",\ncomment = \"reference implementation of inference for the GPV estimator, used to validate fpa_density_ci()\"),\nperson(\"Artyom\", \"Shneyerov\", role = c(\"ctb\", \"cph\"),\ncomment = \"original MATLAB implementation of the quantile-based estimator, translated to R in density_marmer_shneyerov()\"),\nperson(\"Federico\", \"Zincenko\", role = c(\"ctb\", \"cph\"),\ncomment = \"original implementation of the kernel estimator of private values with boundary extrapolation, adapted in fpa_values(method = 'zincenko')\"))",
  "Description": "Nonparametric estimators of the quantile density function\n(the derivative of the quantile function): kernel,\nboundary-corrected kernel, Poisson-weight and\nBernstein-polynomial smoothers, indirect estimators (Jones\n(1992) <https://www.ism.ac.jp/editsec/aism/pdf/044_4_0721.pdf>;\nSoni, Dewan and Jain (2012) <doi:10.1016/j.csda.2012.04.014>;\nChaubey, Dewan and Li (2024)\n<doi:10.1080/03610926.2023.2222922>), and linear,\nhard-thresholded and block-thresholded wavelet estimators\n(Chesneau, Dewan and Doosti (2016)\n<doi:10.1016/j.csda.2015.08.006>; Shirazi and Doosti (2022)\n<doi:10.1080/03610918.2019.1656250>), with smoothing parameters\nchosen by biased, robust likelihood (Wu (2019)\n<doi:10.1080/07350015.2018.1424633>) or least-squares\ncross-validation. The estimators are applied to the structural\nanalysis of first-price sealed-bid auctions: recovery of\nprivate values for independent or affiliated values and\nrisk-neutral or risk-averse bidders (Doosti, Dewan and Talebian\n(2025) <doi:10.1016/j.econlet.2025.112670>; Doosti (2026)\n<doi:10.1016/j.econlet.2026.112837>), estimation of the\nprivate-value density with kernel benchmarks (Hickman and\nHubbard (2015) <doi:10.1002/jae.2385>; Marmer and Shneyerov\n(2012) <doi:10.1016/j.jeconom.2011.09.020>; Zincenko (2024)\n<doi:10.1016/j.jeconom.2024.105734>) and confidence bands (Ma,\nMarmer and Shneyerov (2019)\n<doi:10.1016/j.jeconom.2019.02.006>), and estimation of the\nseller's expected revenue and optimal reserve price, with tools\nfor simulating equilibrium bids and comparing estimators.",
  "License": "GPL (>= 3)",
  "URL": "https://github.com/DoostiH/qdfauction",
  "BugReports": "https://github.com/DoostiH/qdfauction/issues",
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  "Packaged": {
    "Date": "2026-10-22 22:41:17 UTC",
    "User": "root"
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  "Author": "Hassan Doosti [aut, cre, cph] (ORCID:\n<https://orcid.org/0000-0002-0290-8122>, affiliation: School of\nMathematical and Physical Sciences, Macquarie University),\nYogendra P. Chaubey [ctb, cph] (original R code of the quantile\ndensity estimators and cross-validation criteria, revised and\nvectorised in R/estimators.R and R/bandwidth.R), Isha Dewan\n[ctb, cph] (original R code of the quantile density estimators\nand cross-validation criteria, revised and vectorised in\nR/estimators.R and R/bandwidth.R), Jun Li [ctb, cph] (original\nR code of the quantile density estimators and cross-validation\ncriteria, revised and vectorised in R/estimators.R and\nR/bandwidth.R), Brent R. Hickman [ctb, cph] (original MATLAB\nimplementation of the boundary-corrected kernel density\nestimator, translated to R in kde_hh()), Timothy P. Hubbard\n[ctb, cph] (original MATLAB implementation of the\nboundary-corrected kernel density estimator, translated to R in\nkde_hh()), Brani Vidakovic [ctb, cph] (original MATLAB routines\nPhijk, dwtr, Idwtr and loc_lin, translated to R in\nscaling_function(), phi_jk(), dwt_periodic(), idwt_periodic()\nand loclin_smooth()), Vadim Marmer [ctb, cph] (original MATLAB\nimplementation of the quantile-based estimator, translated to R\nin density_marmer_shneyerov(); reference implementation used to\nvalidate fpa_density_ci()), Jun Ma [ctb] (reference\nimplementation of inference for the GPV estimator, used to\nvalidate fpa_density_ci()), Artyom Shneyerov [ctb, cph]\n(original MATLAB implementation of the quantile-based\nestimator, translated to R in density_marmer_shneyerov()),\nFederico Zincenko [ctb, cph] (original implementation of the\nkernel estimator of private values with boundary extrapolation,\nadapted in fpa_values(method = 'zincenko'))",
  "Maintainer": "Hassan Doosti <Hassan.doosti@mq.edu.au>",
  "Repository": "https://cran.r-universe.dev",
  "Date/Publication": "2026-10-22 12:40:02 UTC",
  "RemoteUrl": "https://github.com/cran/qdfauction",
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  "_file": "qdfauction_0.2.0.tar.gz",
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  "_created": "2026-10-22T22:41:17.000Z",
  "_published": "2026-10-22T22:44:11.714Z",
  "_upstream": "https://github.com/cran/qdfauction",
  "_status": "success",
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    "name": "Hassan Doosti",
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    "author": "Hassan Doosti <Hassan.doosti@mq.edu.au>",
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  "_exports": [
    "bcv_criterion",
    "check_kernel",
    "copula_delta",
    "copula_delta_prime",
    "copula_fit",
    "copula_psi",
    "copula_psi_np",
    "copula_spec_test",
    "copula_tau_to_theta",
    "copula_theta_to_tau",
    "density_marmer_shneyerov",
    "dwt_periodic",
    "fpa_bid_function",
    "fpa_corner_test",
    "fpa_density",
    "fpa_density_boot",
    "fpa_density_ci",
    "fpa_density_cv",
    "fpa_evaluate_density",
    "fpa_evaluate_values",
    "fpa_montecarlo",
    "fpa_optimal_reserve",
    "fpa_optimal_reserve_model",
    "fpa_optimal_reserve_qd",
    "fpa_revenue",
    "fpa_revenue_boot",
    "fpa_revenue_model",
    "fpa_revenue_qd",
    "fpa_simulate",
    "fpa_ugrid",
    "fpa_values",
    "fpa_virtual_value",
    "fpa_virtual_value_model",
    "idwt_periodic",
    "kde_hh",
    "loclin_smooth",
    "make_kernel",
    "phi_jk",
    "phi_per",
    "psi_jk",
    "psi_per",
    "qdf",
    "qdf_bernstein",
    "qdf_bernstein_loo",
    "qdf_indirect_poisson",
    "qdf_jones",
    "qdf_kernel",
    "qdf_kernel_corrected",
    "qdf_poisson",
    "qdf_soni",
    "qdf_wavelet",
    "qdf_wavelet_nl",
    "quantile_indirect_poisson",
    "rcopula_archimedean",
    "rlcv_criterion",
    "scaling_function",
    "select_bandwidth",
    "select_fpa_density",
    "select_wavelet",
    "threshold_coefficients",
    "wavelet_filter",
    "wbcv_criterion"
  ],
  "_datasets": [
    {
      "name": "timber",
      "title": "USFS timber sealed-bid auctions (homogenised bids)",
      "object": "timber",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "bcv_criterion",
      "title": "Cross-validation criteria for quantile density estimators",
      "topics": [
        "bcv_criterion",
        "rlcv_criterion",
        "wbcv_criterion"
      ]
    },
    {
      "page": "copula_fit",
      "title": "Pseudo-maximum-likelihood estimation of an Archimedean copula from bids",
      "topics": [
        "copula_fit"
      ]
    },
    {
      "page": "copula_psi",
      "title": "Copula multiplier and diagonal functions of exchangeable Archimedean copulas",
      "topics": [
        "copula_delta",
        "copula_delta_prime",
        "copula_psi"
      ]
    },
    {
      "page": "copula_psi_np",
      "title": "Nonparametric estimator of the copula multiplier",
      "topics": [
        "copula_psi_np"
      ]
    },
    {
      "page": "copula_spec_test",
      "title": "Specification test for a parametric copula of the private values",
      "topics": [
        "copula_spec_test"
      ]
    },
    {
      "page": "copula_tau_to_theta",
      "title": "Convert between Kendall's tau and the copula parameter",
      "topics": [
        "copula_tau_to_theta",
        "copula_theta_to_tau"
      ]
    },
    {
      "page": "density_marmer_shneyerov",
      "title": "Quantile-based density estimator of Marmer and Shneyerov (2012)",
      "topics": [
        "density_marmer_shneyerov"
      ]
    },
    {
      "page": "dwt_periodic",
      "title": "Periodic discrete wavelet transform",
      "topics": [
        "dwt_periodic",
        "idwt_periodic"
      ]
    },
    {
      "page": "fpa_bid_function",
      "title": "Equilibrium bid function of a symmetric first-price auction",
      "topics": [
        "fpa_bid_function"
      ]
    },
    {
      "page": "fpa_corner_test",
      "title": "Test for a corner solution of the optimal reserve under affiliation",
      "topics": [
        "fpa_corner_test",
        "print.fpa_corner_test"
      ]
    },
    {
      "page": "fpa_density",
      "title": "Nonparametric estimation of the private-value density in first-price auctions",
      "topics": [
        "fpa_density"
      ]
    },
    {
      "page": "fpa_density_boot",
      "title": "Bootstrap confidence intervals and bands for any private-value density estimator",
      "topics": [
        "fpa_density_boot",
        "plot.fpa_density_boot"
      ]
    },
    {
      "page": "fpa_density_ci",
      "title": "Confidence intervals and uniform confidence bands for the private-value density",
      "topics": [
        "fpa_density_ci"
      ]
    },
    {
      "page": "fpa_density_cv",
      "title": "Compare density estimators by held-out log-likelihood",
      "topics": [
        "fpa_density_cv"
      ]
    },
    {
      "page": "fpa_evaluate_values",
      "title": "Evaluate recovered values or an estimated density against the truth",
      "topics": [
        "fpa_evaluate_density",
        "fpa_evaluate_values"
      ]
    },
    {
      "page": "fpa_montecarlo",
      "title": "Monte Carlo comparison of estimators",
      "topics": [
        "fpa_montecarlo"
      ]
    },
    {
      "page": "fpa_optimal_reserve",
      "title": "Optimal reserve price from recovered private values",
      "topics": [
        "fpa_optimal_reserve"
      ]
    },
    {
      "page": "fpa_revenue",
      "title": "Plug-in estimator of the seller's expected revenue",
      "topics": [
        "fpa_revenue"
      ]
    },
    {
      "page": "fpa_revenue_boot",
      "title": "Bootstrap inference for the expected-revenue estimator",
      "topics": [
        "fpa_revenue_boot"
      ]
    },
    {
      "page": "fpa_revenue_model",
      "title": "Expected revenue and optimal reserve price of a known model",
      "topics": [
        "fpa_optimal_reserve_model",
        "fpa_revenue_model"
      ]
    },
    {
      "page": "fpa_revenue_qd",
      "title": "Expected revenue and optimal reserve by the quantile-density functional",
      "topics": [
        "fpa_optimal_reserve_qd",
        "fpa_revenue_qd"
      ]
    },
    {
      "page": "fpa_simulate",
      "title": "Simulate first-price sealed-bid auctions",
      "topics": [
        "fpa_simulate"
      ]
    },
    {
      "page": "fpa_values",
      "title": "Recover private values from first-price auction bids",
      "topics": [
        "fpa_values"
      ]
    },
    {
      "page": "fpa_virtual_value_model",
      "title": "Affiliated virtual value",
      "topics": [
        "fpa_virtual_value",
        "fpa_virtual_value_model"
      ]
    },
    {
      "page": "kde_hh",
      "title": "Boundary-corrected kernel density estimator of Hickman and Hubbard (2015)",
      "topics": [
        "kde_hh"
      ]
    },
    {
      "page": "loclin_smooth",
      "title": "Local-linear smoother with Gaussian kernel",
      "topics": [
        "loclin_smooth"
      ]
    },
    {
      "page": "make_kernel",
      "title": "Construct and check a kernel for the kernel-type estimators",
      "topics": [
        "check_kernel",
        "make_kernel"
      ]
    },
    {
      "page": "phi_jk",
      "title": "Evaluate scaling functions phi_{j,k}(z) = 2^{j/2}phi(2^j z - k)",
      "topics": [
        "phi_jk"
      ]
    },
    {
      "page": "plot.fpa_density",
      "title": "Plot an estimated private-value density",
      "topics": [
        "plot.fpa_density"
      ]
    },
    {
      "page": "plot.fpa_density_ci",
      "title": "Plot a GPV density estimate with confidence bands",
      "topics": [
        "plot.fpa_density_ci"
      ]
    },
    {
      "page": "plot.fpa_revenue_boot",
      "title": "Plot a revenue curve with bootstrap bands",
      "topics": [
        "plot.fpa_revenue_boot"
      ]
    },
    {
      "page": "plot.fpa_values",
      "title": "Plot recovered private values against bids",
      "topics": [
        "plot.fpa_values"
      ]
    },
    {
      "page": "plot.qdf",
      "title": "Plot a quantile density estimate",
      "topics": [
        "plot.qdf"
      ]
    },
    {
      "page": "predict.qdf",
      "title": "Predict from a fitted quantile density estimate",
      "topics": [
        "predict.qdf"
      ]
    },
    {
      "page": "psi_jk",
      "title": "Mother wavelet and periodised wavelet basis on the unit interval",
      "topics": [
        "phi_per",
        "psi_jk",
        "psi_per"
      ]
    },
    {
      "page": "qdf",
      "title": "Nonparametric estimation of a quantile density function",
      "topics": [
        "qdf"
      ]
    },
    {
      "page": "qdf_jones",
      "title": "Indirect estimators of the quantile density",
      "topics": [
        "qdf_indirect_poisson",
        "qdf_jones",
        "qdf_soni"
      ]
    },
    {
      "page": "qdf_kernel",
      "title": "Direct kernel estimators of the quantile density",
      "topics": [
        "qdf_kernel",
        "qdf_kernel_corrected"
      ]
    },
    {
      "page": "qdf_poisson",
      "title": "Series estimators of the quantile density",
      "topics": [
        "qdf_bernstein",
        "qdf_bernstein_loo",
        "qdf_poisson"
      ]
    },
    {
      "page": "qdf_wavelet",
      "title": "Wavelet estimators of the quantile density",
      "topics": [
        "qdf_wavelet"
      ]
    },
    {
      "page": "qdf_wavelet_nl",
      "title": "Nonlinear wavelet estimators of the quantile density with theoretical thresholds",
      "topics": [
        "qdf_wavelet_nl"
      ]
    },
    {
      "page": "rcopula_archimedean",
      "title": "Simulate exchangeable Archimedean copula scores",
      "topics": [
        "rcopula_archimedean"
      ]
    },
    {
      "page": "select_bandwidth",
      "title": "Select the smoothing parameter of a quantile density estimator",
      "topics": [
        "select_bandwidth"
      ]
    },
    {
      "page": "select_fpa_density",
      "title": "Cross-validated choice of the wavelet resolution level and bandwidth",
      "topics": [
        "select_fpa_density"
      ]
    },
    {
      "page": "select_wavelet",
      "title": "Cross-validated choice of (j0, h) for the wavelet estimator",
      "topics": [
        "select_wavelet"
      ]
    },
    {
      "page": "threshold_coefficients",
      "title": "Threshold wavelet coefficients",
      "topics": [
        "threshold_coefficients"
      ]
    },
    {
      "page": "timber",
      "title": "USFS timber sealed-bid auctions (homogenised bids)",
      "topics": [
        "timber"
      ]
    },
    {
      "page": "wavelet_filter",
      "title": "Orthonormal wavelet filters",
      "topics": [
        "wavelet_filter"
      ]
    }
  ],
  "_rundeps": [],
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    {
      "source": "timber.Rmd",
      "filename": "timber.html",
      "title": "Structural analysis of first-price auctions with qdfauction: the USFS timber data",
      "author": "Hassan Doosti",
      "engine": "knitr::rmarkdown",
      "headings": [
        "1. The quantile density of bids",
        "2. Recovering private values",
        "3. The private-value density",
        "Confidence bands",
        "4. Expected revenue and the optimal reserve price",
        "5. Checking the method by simulation",
        "References"
      ],
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      "modified": "2026-10-22 12:40:02",
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