Nonparametric Quantile Density Estimation and Structural Analysis of First-Price Auctions


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Documentation for package ‘qdfauction’ version 0.2.0

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bcv_criterion Cross-validation criteria for quantile density estimators
check_kernel Construct and check a kernel for the kernel-type estimators
copula_delta Copula multiplier and diagonal functions of exchangeable Archimedean copulas
copula_delta_prime Copula multiplier and diagonal functions of exchangeable Archimedean copulas
copula_fit Pseudo-maximum-likelihood estimation of an Archimedean copula from bids
copula_psi Copula multiplier and diagonal functions of exchangeable Archimedean copulas
copula_psi_np Nonparametric estimator of the copula multiplier
copula_spec_test Specification test for a parametric copula of the private values
copula_tau_to_theta Convert between Kendall's tau and the copula parameter
copula_theta_to_tau Convert between Kendall's tau and the copula parameter
density_marmer_shneyerov Quantile-based density estimator of Marmer and Shneyerov (2012)
dwt_periodic Periodic discrete wavelet transform
fpa_bid_function Equilibrium bid function of a symmetric first-price auction
fpa_corner_test Test for a corner solution of the optimal reserve under affiliation
fpa_density Nonparametric estimation of the private-value density in first-price auctions
fpa_density_boot Bootstrap confidence intervals and bands for any private-value density estimator
fpa_density_ci Confidence intervals and uniform confidence bands for the private-value density
fpa_density_cv Compare density estimators by held-out log-likelihood
fpa_evaluate_density Evaluate recovered values or an estimated density against the truth
fpa_evaluate_values Evaluate recovered values or an estimated density against the truth
fpa_montecarlo Monte Carlo comparison of estimators
fpa_optimal_reserve Optimal reserve price from recovered private values
fpa_optimal_reserve_model Expected revenue and optimal reserve price of a known model
fpa_optimal_reserve_qd Expected revenue and optimal reserve by the quantile-density functional
fpa_revenue Plug-in estimator of the seller's expected revenue
fpa_revenue_boot Bootstrap inference for the expected-revenue estimator
fpa_revenue_model Expected revenue and optimal reserve price of a known model
fpa_revenue_qd Expected revenue and optimal reserve by the quantile-density functional
fpa_simulate Simulate first-price sealed-bid auctions
fpa_values Recover private values from first-price auction bids
fpa_virtual_value Affiliated virtual value
fpa_virtual_value_model Affiliated virtual value
idwt_periodic Periodic discrete wavelet transform
kde_hh Boundary-corrected kernel density estimator of Hickman and Hubbard (2015)
loclin_smooth Local-linear smoother with Gaussian kernel
make_kernel Construct and check a kernel for the kernel-type estimators
phi_jk Evaluate scaling functions phi_{j,k}(z) = 2^{j/2}phi(2^j z - k)
phi_per Mother wavelet and periodised wavelet basis on the unit interval
plot.fpa_density Plot an estimated private-value density
plot.fpa_density_boot Bootstrap confidence intervals and bands for any private-value density estimator
plot.fpa_density_ci Plot a GPV density estimate with confidence bands
plot.fpa_revenue_boot Plot a revenue curve with bootstrap bands
plot.fpa_values Plot recovered private values against bids
plot.qdf Plot a quantile density estimate
predict.qdf Predict from a fitted quantile density estimate
print.fpa_corner_test Test for a corner solution of the optimal reserve under affiliation
psi_jk Mother wavelet and periodised wavelet basis on the unit interval
psi_per Mother wavelet and periodised wavelet basis on the unit interval
qdf Nonparametric estimation of a quantile density function
qdf_bernstein Series estimators of the quantile density
qdf_bernstein_loo Series estimators of the quantile density
qdf_indirect_poisson Indirect estimators of the quantile density
qdf_jones Indirect estimators of the quantile density
qdf_kernel Direct kernel estimators of the quantile density
qdf_kernel_corrected Direct kernel estimators of the quantile density
qdf_poisson Series estimators of the quantile density
qdf_soni Indirect estimators of the quantile density
qdf_wavelet Wavelet estimators of the quantile density
qdf_wavelet_nl Nonlinear wavelet estimators of the quantile density with theoretical thresholds
rcopula_archimedean Simulate exchangeable Archimedean copula scores
rlcv_criterion Cross-validation criteria for quantile density estimators
select_bandwidth Select the smoothing parameter of a quantile density estimator
select_fpa_density Cross-validated choice of the wavelet resolution level and bandwidth
select_wavelet Cross-validated choice of (j0, h) for the wavelet estimator
threshold_coefficients Threshold wavelet coefficients
timber USFS timber sealed-bid auctions (homogenised bids)
wavelet_filter Orthonormal wavelet filters
wbcv_criterion Cross-validation criteria for quantile density estimators