Generalized Pareto Interpolation

add_one_point | Add one point in order to satisfy monotonicity constraint |

add_two_points | Add two points in order to satisfy monotonicity constraint |

addup_dist | Add up two components of income or wealth |

basis_functions_cubic_spline | Basis functions for the cubic spline |

basis_functions_quintic_spline | Basis functions for the quintic spline |

bottom_average | Bottom average for generalized Pareto interpolation |

bottom_share | Bottom share for generalized Pareto interpolation |

bracket_average | Bracket average for generalized Pareto interpolation |

bracket_share | Bracket share for generalized Pareto interpolation |

central_derivative | Estimate the value of a derivative on an irregular grid using... |

clamped1_quintic_spline_noderiv | Estimate natural quintic spline with unknown first... |

clamped2_quintic_spline_noderiv | Estimate natural quintic spline with unknown first... |

clamped_cubic_spline | Estimate a natural cubic spline with first derivative clamped... |

clamped_quintic_spline | Estimate a quintic spline known first derivatives with second... |

clean_input_shares | Clean (and check) the inputs for 'shares_fit' |

clean_input_tabulation | Clean (and check) the inputs for 'tabulation_fit' |

clean_input_thresholds | Clean (and check) the inputs for 'threshold_fit' |

cns_one_point | Monotonicity constraints with one additional point |

cns_two_points | Monotonicity constraints with two additional points |

cubic_spline | Cubic spline function |

decompose_population | Decompose population origin by percentile in a merged... |

deriv2_quintic_spline | Second derivative of the quintic spline function |

deriv3_quintic_spline | Third derivative of the quintic spline function |

deriv_cubic_spline | First derivative of the cubic spline function |

deriv_phi | Derivative of the interpolation function from generalized... |

deriv_quintic_spline | First derivative of the quintic spline function |

distance_one_point | Distance between spline and spline perturbated by one point |

distance_spline | Distance between two quintic splines |

distance_two_points | Distance between spline and spline perturbated by two points |

fitted_cdf | Cumulative distribution function for generalized Pareto... |

fitted_density | Probability density function for generalized Pareto... |

fitted_quantile | Quantile function for generalized Pareto interpolation |

g | Cubic spline function |

gd1 | First derivative of the cubic spline function |

generate_tabulation | Generate a tabulation of a distribution |

gini | Gini coefficient |

gpd_bottom_cdf | Cumulative density function of the generalized Pareto... |

gpd_bottom_density | Density function of the generalized Pareto distribution in... |

gpd_bottom_deriv_phi | Derivative of the interpolation function below the first... |

gpd_bottom_mean | Truncated average function of the generalized Pareto... |

gpd_bottom_parameters | Estimate parameters of the parameters of the generalized... |

gpd_bottom_phi | Interpolation function below the first bracket |

gpd_bottom_quantile | Quantile function of the generalized Pareto distribution in... |

gpd_top_cdf | Cumulative density function of the generalized Pareto... |

gpd_top_density | Density function of the generalized Pareto distribution in... |

gpd_top_deriv_phi | Derivative of the interpolation function in the last bracket |

gpd_top_mean | Truncated average function of the generalized Pareto... |

gpd_top_parameters | Estimate parameters of the parameters of the generalized... |

gpd_top_phi | Interpolation function in the last bracket |

gpd_top_quantile | Quantile function of the generalized Pareto distribution in... |

gumbel_cond_quantile | Conditional quantile function of the Gumbel copula |

h | Quintic spline function |

hd1 | First derivative of the quintic spline function |

hd2 | Second derivative of the quintic spline function |

hd3 | Third derivative of the quintic spline function |

hist_cdf | CDF for histogram density |

hist_deriv_phi | Derivative of Pareto interpolation function for histogram... |

hist_interpol | Histogram interpolation |

hist_lorenz | Non-normalized Lorenz curve for histogram density |

hist_phi | Pareto interpolation function for histogram density |

hist_quantile | Quantile function for histogram density |

individualize_dist | Individualize a distribution |

interpolation_error_bound_cons | Bound on the interpolation error for a constant phi"' |

interpolation_error_bound_noncons | Bound on the interpolation error for a non constant phi"' |

interpolation_error_noncons | Value of the interpolation error for a non constant phi"' |

invpareto | Inverted Pareto coefficients for generalized Pareto... |

is_increasing | Check of monotonicity constraint |

is_increasing_fast | Fast check of monotonicity constraint |

is_increasing_slow | “Slow” check of monotonicity constraint |

kernel | Peano kernel |

kernel_interpolation_param | Parameters of the spline interpolating the Peano kernel |

kernel_value_error | Interpolation error on the kernel |

left_derivative | Estimate the value of the left-derivative on an irregular... |

merge_dist | Merge the distribution from different countries |

mono_cns | Monotonicity constraint for the quantile function |

natural_quintic_spline | Estimate natural quintic spline with known first derivatives |

natural_quintic_spline_noderiv | Estimate natural quintic spline with unknown first... |

phi | Interpolation function from generalized Pareto interpolation |

plot_cdf | Cumulative density plot |

plot_density | Probability density plot |

plot_deriv_phi | Plot of the derivative of the interpolation function |

plot_gpc | Generalized Pareto curve plot |

plot_hist | Histogram plot |

plot_lorenz | Lorenz plot |

plot_phi | Interpolation function plot |

plot_quantile | Quantile density plot |

plot_tail | Tail function plot |

quintic_spline | Quintic spline function |

right_derivative | Estimate the value of the right-derivative on an irregular... |

run_app | Run the Shiny application in the web browser |

second_derivative | Estimate the value of the second derivative on an irregular... |

shares_fit | Fit a nonparametric distribution on tabulated data without... |

simulate_gpinter | Simulate data |

support | Support of a distribution estimated via generalized Pareto... |

tabulation_fit | Fit a nonparametric distribution on tabulated data |

tension | Tension of several splines |

tension_grad | Gradient of the tension of several splines |

tension_spline | Tension of a quintic spline |

thresholds_fit | Fit a nonparametric distribution on tabulated data with... |

threshold_share | Share above a threshold |

top_average | Top average for generalized Pareto interpolation |

top_share | Top share for generalized Pareto interpolation |

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