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qfa

Quantile-Frequency Analysis (QFA) of Time Series and Spline Quantile Regression (SQR)

v5.0 · Mar 30, 2026 · GPL (>= 2)

Description

Implementation of quantile frequency analysis (QFA) for time series based on trigonometric quantile regression and of spline quantile regression (SQR) for estimating the coefficients in linear quantile regression models as smooth functions of the quantile level. References: [1] Li, T.-H. (2012). ''Quantile periodograms,'' J. 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. (2025). ''Quantile Fourier transform, quantile series, and nonparametric estimation of quantile spectra,'' Communications in Statistics: Simulation and Computation, 1–22. <doi:10.1080/03610918.2025.2509820> [4] Li, T.-H. (2025). ''Quantile-crossing spectrum and spline autoregression estimation,'' Statistical Inference for Stochastic Processes, 28, 20. <doi:10.1007/s11203-025-09336-7> [5] Li, T.-H. (2025). ''Spline autoregression method for estimation of quantile spectrum,'' J. of Computational and Graphical Statistics, 1-15. <doi:10.1080/10618600.2025.2549452> [6] Li, T.-H., and Megiddo, N. (2026). ''Spline quantile regression,'' J. of Statistical Theory and Practice, 20, 30. <doi:10.1007/s42519-026-00545-8> [7] Li, T.-H. (2026). ''Spline quantile regression with cubic and linear smoothing splines,'' <doi:10.48550/arXiv.2603.22408>.

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r-devel-linux-x86_64-fedora-gcc OK
r-devel-macos-arm64 OK
r-devel-windows-x86_64 OK
r-oldrel-macos-arm64 OK
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r-oldrel-windows-x86_64 OK
r-patched-linux-x86_64 OK
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r-release-macos-x86_64 OK
r-release-windows-x86_64 OK

Check History

OK 14 OK · 0 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE Mar 10, 2026

Dependency Network

Dependencies Reverse dependencies RhpcBLASctl doParallel fields foreach Matrix SparseM mgcv nlme quantreg colorRamps MASS osqp piqp boot qfa

Version History

updated 5.0 ← 4.2 diff Mar 30, 2026
new 4.2 Mar 10, 2026
updated 4.2 ← 4.1 diff Sep 10, 2025
updated 4.1 ← 4.0 diff Apr 8, 2025
updated 4.0 ← 3.1 diff Jan 7, 2025
updated 3.1 ← 2.1 diff Dec 19, 2024
updated 2.1 ← 2.0 diff Aug 20, 2023
updated 2.0 ← 1.2 diff May 16, 2023
updated 1.2 ← 0.0-10 diff Jan 17, 2023
new 0.0-10 Jun 20, 2013