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qfa (version 4.1)

Quantile-Frequency Analysis (QFA) of Time Series

Description

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, . [2] Li, T.-H. (2014) Time Series with Mixed Spectra, CRC Press, [3] Li, T.-H. (2022) "Quantile Fourier transform, quantile series, and nonparametric estimation of quantile spectra," . [4] Li, T.-H. (2024) "Quantile crossing spectrum and spline autoregression estimation," . [5] Li, T.-H. (2024) "Spline autoregression method for estimation of quantile spectrum," . [6] Li, T.-H., and Megiddo, N. (2025) "Spline quantile regression," .

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Install

install.packages('qfa')

Monthly Downloads

217

Version

4.1

License

GPL (>= 2)

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Maintainer

Ta-Hsin Li

Last Published

April 9th, 2025

Functions in qfa (4.1)

sqdft

Spline Quantile Discrete Fourier Transform (SQDFT) of Time Series
sar.gc.coef

Extraction of SAR Coefficients for Granger-Causality Analysis
sar.eq.bootstrap

Bootstrap Simulation of SAR Coefficients for Testing Equality of Granger-Causality in Two Samples
qper

Quantile Periodogram (QPER)
qspec2qcoh

Quantile Coherence Spectrum
sqr

Spline Quantile Regression (SQR) by formula
sqr.fit

Spline Quantile Regression (SQR)
sqdft.fit

Spline Quantile Discrete Fourier Transform (SQDFT) of Time Series Given Smoothing Parameter
sqr.fit.optim

Spline Quantile Regression (SQR) by Gradient Algorithms
tqr.fit

Trigonometric Quantile Regression (TQR)
yearssn

Yearly sunspot numbers
tsqr.fit

Trigonometric Spline Quantile Regression (TSQR) of Time Series
sar.gc.test

Wald Test and Confidence Band for Granger-Causality Analysis
sar.eq.test

Wald Test and Confidence Band for Equality of Granger-Causality in Two Samples
sar.gc.bootstrap

Bootstrap Simulation of SAR Coefficients for Granger-Causality Analysis
qfa.plot

Quantile-Frequency Plot
engel

Engel food expenditure data
qdft

Quantile Discrete Fourier Transform (QDFT)
qdft2qser

Quantile Series (QSER)
qcser

Quantile-Crossing Series (QCSER)
per

Periodogram (PER)
qdft2qacf

Quantile Autocovariance Function (QACF)
qacf

Quantile Autocovariance Function (QACF)
qdft2qper

Quantile Periodogram (QPER)
qser2sar

Spline Autoregression (SAR) Model of Quantile Series
qser

Quantile Series (QSER)
qspec.sar

Spline Autoregression (SAR) Estimator of Quantile Spectrum
birthweight

Birthweight data
qper2

Quantile Periodogram Type II (QPER2)
qkl.divergence

Kullback-Leibler Divergence of Quantile Spectral Estimate
qspec.lw

Lag-Window (LW) Estimator of Quantile Spectrum
qser2ar

Autoregression (AR) Model of Quantile Series
qser2qacf

ACF of Quantile Series (QSER) or Quantile-Crossing Series (QCACF)
qspec.ar

Autoregression (AR) Estimator of Quantile Spectrum