biasBound_condExpectation | Bias bound approach for conditional expectation estimation |
biasBound_density | Bias bound approach for density estimation |
DATA_PATH | The Path to the Data Folder |
epanechnikov_kernel | Epanechnikov Kernel |
epanechnikov_kernel_ft | Fourier Transform Epanechnikov Kernel |
EXT_DATA_PATH | The Path to the External Data Folder for Non-R Data Files |
fun_approx | Approximation Function for Intensive Calculations |
gen_sample_data | Generate Sample Data |
get_avg_f1x | Kernel point estimation |
get_avg_fyx | Kernel point estimation |
get_avg_phi | Compute Sample Average of Fourier Transform Magnitude |
get_avg_phi_log | Compute log sample average of fourier transform and get mod |
get_conditional_var | get the conditional variance of Y on X for given x |
get_est_Ar | get the estimation of A and r |
get_est_B | get the estimation of B |
get_est_b1x | Estimation of bias b1x |
get_est_byx | Estimation of bias byx |
get_est_vy | get the estimation of Vy |
get_sigma | Estimation of sigma |
get_sigma_yx | Estimation of sigma_yx |
get_xi_interval | get xi interval |
kernel_reg | Kernel Regression function |
normal_kernel | Normal Kernel Function |
normal_kernel_ft | Fourier Transform of Normal Kernel |
plot_ft | Plot the Fourier Transform |
rpoly01 | Generate n samples from the distribution |
sample_data | Sample Data |
sinc | Infinite Kernel Function |
sinc_ft | Define the closed form FT of the infinite order kernel sin(x)/(pi*x) |
true_density_2fold | True density of 2-fold uniform distribution |
W_kernel | Define the inverse Fourier transform function of W |
W_kernel_ft | Define the Fourier transform of a infinite kernel proposed in Schennach 2004 |