Corpus ID: 199472661

# Quantile-Frequency Analysis and Spectral Divergence Metrics for Diagnostic Checks of Time Series With Nonlinear Dynamics

@article{Li2019QuantileFrequencyAA,
title={Quantile-Frequency Analysis and Spectral Divergence Metrics for Diagnostic Checks of Time Series With Nonlinear Dynamics},
author={Ta-Hsin Li},
journal={arXiv: Statistical Finance},
year={2019}
}
• T. Li
• Published 6 August 2019
• Economics, Mathematics
• arXiv: Statistical Finance
Nonlinear dynamic volatility has been observed in many financial time series. The recently proposed quantile periodogram offers an alternative way to examine this phenomena in the frequency domain. The quantile periodogram is constructed from trigonometric quantile regression of time series data at different frequencies and quantile levels. It is a useful tool for quantile-frequency analysis (QFA) of nonlinear serial dependence. This paper introduces a number of spectral divergence metrics… Expand
2 Citations

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#### References

SHOWING 1-10 OF 35 REFERENCES
The quantile spectral density and comparison based tests for nonlinear time series
• Mathematics
• 2011
In this paper we consider tests for nonlinear time series, which are motivated by the notion of serial dependence. The proposed tests are based on comparisons with the quantile spectral density,Expand
Quantile Periodogram and Time‐Dependent Variance
type="main" xml:id="jtsa12065-abs-0001"> This article investigates the statistical properties of the recently introduced quantile periodogram for time series with time-dependent variance. TheExpand
Of Copulas, Quantiles, Ranks and Spectra - An L1-Approach to Spectral Analysis
• Mathematics
• 2015
In this paper we present an alternative method for the spectral analysis of a strictly stationary time series {Yt}t2Z. We define a “new” spectrum as the Fourier transform of the differences betweenExpand
Quantile Periodograms
Two periodogram-like functions, called quantile periodograms, are introduced for spectral analysis of time series. The quantile periodograms are constructed from trigonometric quantile regression andExpand
M-periodogram for the analysis of long-range-dependent time series
• Mathematics
• 2018
ABSTRACT This paper focuses on time series with long-memory and suggests using an alternative periodogram, called M-periodogram, which is obtained by relating the periodogram to a regression problemExpand
Laplace Periodogram for Time Series Analysis
A new type of periodogram, called the Laplace periodogram, is derived by replacing least squares with least absolute deviations in the harmonic regression procedure that produces the ordinaryExpand
Technical Appendix A Forecast Comparison of Volatility Models: Does Anything Beat a GARCH(1,1)?
• Economics
• 2001
We compare 330 ARCH-type models in terms of their ability to describe the conditional variance. The models are compared out-of-sample using DM-d exchange rate data and IBM return data, where theExpand
Composite Quantile Periodogram for Spectral Analysis
• Mathematics
• 2016
type="main" xml:id="jtsa12143-abs-0001"> We propose a new type of periodogram for identifying hidden frequencies and providing a better understanding of the frequency behaviour. The quantileExpand
Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation
Traditional econometric models assume a constant one-period forecast variance. To generalize this implausible assumption, a new class of stochastic processes called autoregressive conditionalExpand
Generalized spectral tests for serial dependence
Two tests for serial dependence are proposed using a generalized spectral theory in combination with the empirical distribution function. The tests are generalizations of the Cramer‐von Mises andExpand