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How best to model structurally heterogeneous processes is a foundational question in the social, health and behavioral sciences. Recently, Fisher et al., (2022) introduced the multi-VAR approach for simultaneously estimating…

Quantum coherence quantifies the amount of superposition in a quantum system, and is the reason and resource behind several phenomena and technologies. It depends on the natural basis in which the quantum state of the system is expressed,…

量子物理 · 物理学 2021-08-13 Ingita Banerjee , Kornikar Sen , Chirag Srivastava , Ujjwal Sen

Oscillator fluctuations are described as the phase or frequency noise spectrum, or in terms of a wavelet variance as a function of the measurement time. The spectrum is generally approximated by the `power law,' i.e., a Laurent polynomial…

数据分析、统计与概率 · 物理学 2022-01-21 François Vernotte , Siyuan Chen , Enrico Rubiola

We present an alternative framework for quantifying the coherence of quantum channels, which contains three conditions: the faithfulness, nonincreasing under sets of all the incoherent superchannels and the additivity. Based on the…

量子物理 · 物理学 2022-04-20 Shi-Yun Kong , Ya-Juan Wu , Qiao-Qiao Lv , Zhi-Xi Wang , Shao-Ming Fei

We present a method for the joint analysis of a panel of possibly nonstationary time series. The approach is Bayesian and uses a covariate-dependent infinite mixture model to incorporate multiple time series, with mixture components…

统计方法学 · 统计学 2020-06-05 Michael Bertolacci , Ori Rosen , Edward Cripps , Sally Cripps

Our goal is to estimate causal interactions in multivariate time series. Using vector autoregressive (VAR) models, these can be defined based on non-vanishing coefficients belonging to respective time-lagged instances. As in most cases a…

统计方法学 · 统计学 2010-08-13 Stefan Haufe , Guido Nolte , Klaus-Robert Mueller , Nicole Kraemer

We provide a theory independent framework to quantify coherence. In comparison with Bell's theory independent approach to quantum nonlocality, we characterize a general coherence phenomenon with statistics arising from sequential…

量子物理 · 物理学 2018-02-02 Liang-Liang Sun , Fei-Lei Xiong , Sixia Yu , Zeng-Bing Chen

The purpose of this paper is to propose a time-varying vector autoregressive model (TV-VAR) for forecasting multivariate time series. The model is casted into a state-space form that allows flexible description and analysis. The volatility…

统计金融 · 定量金融 2008-12-02 K. Triantafyllopoulos

The Coherent Multiplex is formalized and validated as a scalable, real-time system for identifying, analyzing, and visualizing coherence among multiple time series. Its architecture comprises a fast spectral similarity layer based on cosine…

信号处理 · 电气工程与系统科学 2025-08-28 Noah Shore

A semi-parametric joint Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting framework employing multiple realized measures is developed. The proposed framework extends the realized exponential GARCH model to be semi-parametrically…

风险管理 · 定量金融 2024-12-06 Rangika Peiris , Chao Wang , Richard Gerlach , Minh-Ngoc Tran

In this paper, two novel algorithms to estimate a Gaussian Vector Autoregressive (VAR) model from 1-bit measurements are introduced. They are based on the Yule-Walker scheme modified to account for quantisation. The scalar case has been…

统计方法学 · 统计学 2020-08-25 Colin Cros , Pierre-Olivier Amblard , Jonathan H. Manton

We study kernel-based estimation of nonparametric time-varying parameters (TVPs) in linear models. Our contributions are threefold. First, we establish consistency and asymptotic normality of the kernel-based estimator for a broad class of…

计量经济学 · 经济学 2026-01-26 Mikihito Nishi

Quantum coherence, present whenever a quantum system exists in a superposition of multiple classically distinct states, marks one of the fundamental departures from classical physics. Quantum coherence has recently been investigated…

Real-world time series data often exhibits substantial missing values, posing challenges for advanced analysis. A common approach to addressing this issue is imputation, where the primary challenge lies in determining the appropriate values…

机器学习 · 计算机科学 2025-12-02 Ying Liu , Peng Cui , Wenbo Hu , Richang Hong

Multivariate time-dependent data, where multiple features are observed over time for a set of individuals, are increasingly widespread in many application domains. To model these data we need to account for relations among both time…

统计方法学 · 统计学 2021-04-08 Alessandro Casa , Charles Bouveyron , Elena Erosheva , Giovanna Menardi

A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows…

机器学习 · 统计学 2018-06-29 Jonathan Mei , José M. F. Moura

In this article, we propose the fractional lower order covariance method (FLOC) for estimating the parameters of vector autoregressive process (VAR) of order $p$, $p\geq 1$ with symmetric stable noise. Further, we show the efficiency,…

统计方法学 · 统计学 2021-04-16 Aastha M. Sathe , N. S. Upadhye

To better understand the spatial structure of large panels of economic and financial time series and provide a guideline for constructing semiparametric models, this paper first considers estimating a large spatial covariance matrix of the…

机器学习 · 统计学 2015-03-19 Song Song

Although quantile regression to calculate risk measures has been widely established in the financial literature, when considering data observed at mixed--frequency, an extension is needed. In this paper, a model is suggested built on a…

统计金融 · 定量金融 2023-03-17 Vincenzo Candila , Giampiero M. Gallo , Lea Petrella

Here we dispel the lingering myth that Partial Directed Coherence is a Vector Autoregressive (VAR) Modelling dependent concept. In fact, our examples show that it is spectral factorization that lies at its heart, for which VAR modelling is…

统计方法学 · 统计学 2022-02-02 Luiz Antonio Baccalá , Koichi Sameshima