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20092022
most citedLocal linear quantile estimation for nonstationary time series

108 citations · 152 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.ST2020

Statistical Inference for High Dimensional Panel Functional Time Series

Zhou Zhou, Holger Dette

In this paper we develop statistical inference tools for high dimensional functional time series. We introduce a new concept of physical dependent processes in the space of square…

math.ST2020

Estimation and Inference of Time-Varying Auto-Covariance under Complex Trend: A Difference-based Approach

Yan Cui, Michael Levine, Zhou Zhou

We propose a difference-based nonparametric methodology for the estimation and inference of the time-varying auto-covariance functions of a locally stationary time series when it i…

math.ST20192 cited

Globally Optimal And Adaptive Short-Term Forecast of Locally Stationary Time Series And A Test for Its Stability

Xiucai Ding, Zhou Zhou

Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed s…

math.ST2018

Spectral Inference under Complex Temporal Dynamics

Jun Yang, Zhou Zhou

We develop unified theory and methodology for the inference of evolutionary Fourier power spectra for a general class of locally stationary and possibly nonlinear processes. In par…

math.ST2018

Estimation and inference for precision matrices of non-stationary time series

Xiucai Ding, Zhou Zhou

In this paper, we consider the estimation and inference of precision matrices of a rich class of locally stationary and nonlinear time series assuming that only one realization of…

math.ST201035 cited

Nonparametric inference of quantile curves for nonstationary time series

Zhou Zhou

The paper considers nonparametric specification tests of quantile curves for a general class of nonstationary processes. Using Bahadur representation and Gaussian approximation res…