qfa4.2 package

Quantile-Frequency Analysis (QFA) of Time Series

qdft2qacf

Quantile Autocovariance Function (QACF)

qdft2qper

Quantile Periodogram (QPER)

qdft2qser

Quantile Series (QSER)

qfa.plot

Quantile-Frequency Plot

qkl.divergence

Kullback-Leibler Divergence of Quantile Spectral Estimate

qper

Quantile Periodogram (QPER)

qper2

Quantile Periodogram Type II (QPER2)

qser

Quantile Series (QSER)

qser2ar

Autoregression (AR) Model of Quantile Series

qser2qacf

ACF of Quantile Series (QSER) or Quantile-Crossing Series (QCACF)

sar.eq.bootstrap

Bootstrap Simulation of SAR Coefficients for Testing Equality of Grang...

sar.eq.test

Wald Test and Confidence Band for Equality of Granger-Causality in Two...

per

Periodogram (PER)

qacf

Quantile Autocovariance Function (QACF)

qcser

Quantile-Crossing Series (QCSER)

qdft

Quantile Discrete Fourier Transform (QDFT)

qser2sar

Spline Autoregression (SAR) Model of Quantile Series

qspec.ar

Autoregression (AR) Estimator of Quantile Spectrum

qspec.lw

Lag-Window (LW) Estimator of Quantile Spectrum

qspec.sar

Spline Autoregression (SAR) Estimator of Quantile Spectrum

qspec2qcoh

Quantile Coherence Spectrum

sar.gc.bootstrap

Bootstrap Simulation of SAR Coefficients for Granger-Causality Analysi...

sar.gc.coef

Extraction of SAR Coefficients for Granger-Causality Analysis

sar.gc.test

Wald Test and Confidence Band for Granger-Causality Analysis

sqdft.fit

Spline Quantile Discrete Fourier Transform (SQDFT) of Time Series Give...

sqdft

Spline Quantile Discrete Fourier Transform (SQDFT) of Time Series

sqr.fit.optim

Spline Quantile Regression (SQR) by Gradient Algorithms

sqr.fit

Spline Quantile Regression (SQR)

sqr

Spline Quantile Regression (SQR) by formula

tqr.fit

Trigonometric Quantile Regression (TQR)

tsqr.fit

Trigonometric Spline Quantile Regression (TSQR) of Time Series

Quantile-frequency analysis (QFA) of time series based on trigonometric quantile regression. Spline quantile regression (SQR) for regression coefficient estimation. References: [1] Li, T.-H. (2012) "Quantile periodograms," Journal of the American Statistical Association, 107, 765–776, <doi:10.1080/01621459.2012.682815>. [2] Li, T.-H. (2014) Time Series with Mixed Spectra, CRC Press, <doi:10.1201/b15154> [3] Li, T.-H. (2022) "Quantile Fourier transform, quantile series, and nonparametric estimation of quantile spectra," <doi:10.48550/arXiv.2211.05844>. [4] Li, T.-H. (2024) "Quantile crossing spectrum and spline autoregression estimation," <doi:10.48550/arXiv.2412.02513>. [5] Li, T.-H. (2024) "Spline autoregression method for estimation of quantile spectrum," <doi:10.48550/arXiv.2412.17163>. [6] Li, T.-H., and Megiddo, N. (2025) "Spline quantile regression," <doi:10.48550/arXiv.2501.03883>.

  • Maintainer: Ta-Hsin Li
  • License: GPL (>= 2)
  • Last published: 2025-09-11