CovEsts1.0.0 package

Nonparametric Estimators for Covariance Functions

H2n

Compute Normalisation Factor

hilbert_schmidt

Hilbert-Schmidt Norm Between Estimated Autocovariance Functions.

idct_1d

Compute 1D Inverse Discrete Cosine Transform

kernel_est

Kernel Correction for an Estimated Autocovariance Function.

rho_T1

Compute ρ(T1)\rho(T_{1}) used in the Truncated Kernel Regression Estimato...

shrinking

Linear Shrinking

solve_shrinking

Solve Linear Shrinking

window

1D Window Functions.

Xij_mat

Compute XijX_{ij} Matrix

get_taus

Get all τ\tau.

tapered_single

Computes the Tapered Autocovariance for a Specified Lag.

to_pacf

Computes the Standard Estimator of the Autocovariance Function.

to_vario

Autocovariance to Semivariogram

truncated_est

Compute the Truncated Kernel Regression Estimator.

adjusted_est

Compute the Kernel Regression Estimator.

adjusted_spline

Compute Adjusted Splines.

area_between

Area Between Estimated Autocovariance Functions.

block_bootstrap

Block Bootstrap

bootstrap_sample

Block Bootstrap Sample

check_pd

Check if an Autocovariance Function Estimate is Positive-Definite or N...

corrected_est

Kernel Correction of the Standard Estimator.

cyclic_matrix

Create a Cyclic Matrix for a Given Vector.

dct_1d

Compute 1D Discrete Cosine Transform

generate_knots

Generate Spline Knots.

get_tau

Get a Specific τi\tau_{i}.

kernel_symm

1D Isotropic Symmetric Kernels.

kernel

1D Isotropic Kernels.

make_pd

Make a Function Positive-Definite

max_distance

Maximum Vertical Distance Between Estimated Functions.

mse

MSE Between Estimated Autocovariance Functions.

nearest_pd

Compute the Nearest Positive-Definite Matrix.

solve_spline

Objective Function for WLS.

spectral_norm

Compute the Spectral Norm Between Estimated Functions.

splines_df

Construct Data Frame of Basis Functions.

splines_est

Compute the Splines Estimator.

window_symm

1D Symmetric Window Functions.

standard_est

Computes the Standard Estimator of the Autocovariance Function.

starting_locs

Random Block Locations

taper_single

Compute Taper at a Specified Argument

taper

Compute the Function a(x;ρ).a(x; \rho).

tapered_est

Compute the Estimated Tapered Autocovariance Function over a Set of La...

Several nonparametric estimators of autocovariance functions. Procedures for constructing their confidence regions by using bootstrap techniques. Methods to correct autocovariance estimators and several tools for analysing and comparing them. Supplementary functions, including kernel computations and discrete cosine Fourier transforms. For more details see Bilchouris and Olenko (2025) <doi:10.17713/ajs.v54i1.1975>.

  • Maintainer: Adam Bilchouris
  • License: GPL (>= 3)
  • Last published: 2025-09-10