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In this paper, we are interested in testing if the volatility process is constant or not during a given time span by using high-frequency data with the presence of jumps and microstructure noise. Based on estimators of integrated volatility…

计量经济学 · 经济学 2020-10-16 Qiang Liu , Zhi Liu , Chuanhai Zhang

The association between log-price increments of exchange-traded equities, as measured by their spot correlation estimated from high-frequency data, exhibits a pronounced upward-sloping and almost piecewise linear relationship at the…

计量经济学 · 经济学 2026-01-16 Kim Christensen , Ulrich Hounyo , Zhi Liu

This paper presents the nonparametric inference for nonlinear volatility functionals of general multivariate It\^o semimartingales, in high-frequency and noisy setting. Pre-averaging and truncation enable simultaneous handling of noise and…

统计理论 · 数学 2019-11-11 Richard Y. Chen

We propose a stochastic volatility model for time series of curves. It is motivated by dynamics of intraday price curves that exhibit both between days dependence and intraday price evolution. The curves are suitably normalized to…

统计方法学 · 统计学 2023-05-09 Piotr Kokoszka , Neda Mohammadi , Haonan Wang , Shixuan Wang

We develop theory leading to testing procedures for the presence of a change point in the intraday volatility pattern. The new theory is developed in the framework of Functional Data Analysis. It is based on a model akin to the stochastic…

统计方法学 · 统计学 2024-04-19 Piotr Kokoszka , Tim Kutta , Neda Mohammadi , Haonan Wang , Shixuan Wang

We develop a nonparametric test for deciding whether volatility of an asset follows a standard semimartingale process, with paths of finite quadratic variation, or a rough process with paths of infinite quadratic variation. The test…

统计理论 · 数学 2024-07-16 Carsten H. Chong , Viktor Todorov

In this paper, we present a realized range-based multipower variation theory, which can be used to estimate return variation and draw jump-robust inference about the diffusive volatility component, when a high-frequency record of asset…

计量经济学 · 经济学 2026-02-24 Kim Christensen , Mark Podolskij

We introduce a statistical test for simultaneous jumps in the price of a financial asset and its volatility process. The proposed test is based on high-frequency data and is robust to market microstructure frictions. For the test, local…

统计理论 · 数学 2018-06-12 Markus Bibinger , Lars Winkelmann

We consider estimation of the spot volatility in a stochastic boundary model with one-sided microstructure noise for high-frequency limit order prices. Based on discrete, noisy observations of an It\^o semimartingale with jumps and general…

统计理论 · 数学 2024-11-20 Markus Bibinger

This paper resolves a pivotal open problem on nonparametric inference for nonlinear functionals of volatility matrix. Multiple prominent statistical tasks can be formulated as functionals of volatility matrix, yet a unified statistical…

统计方法学 · 统计学 2024-04-02 Richard Y. Chen

Jumps and market microstructure noise are stylized features of high-frequency financial data. It is well known that they introduce bias in the estimation of volatility (including integrated and spot volatilities) of assets, and many methods…

计量经济学 · 经济学 2023-02-20 Qiang Liu , Zhi Liu

Time-varying volatility is an inherent feature of most economic time-series, which causes standard correlation estimators to be inconsistent. The quadrant correlation estimator is consistent but very inefficient. We propose a novel…

计量经济学 · 经济学 2023-11-01 Peter Reinhard Hansen , Yiyao Luo

The analysis of the intraday dynamics of correlations among high-frequency returns is challenging due to the presence of asynchronous trading and market microstructure noise. Both effects may lead to significant data reduction and may…

交易与市场微观结构 · 定量金融 2019-03-06 Giuseppe Buccheri , Giacomo Bormetti , Fulvio Corsi , Fabrizio Lillo

In this paper we investigate how the bootstrap can be applied to time series regressions when the volatility of the innovations is random and non-stationary. The volatility of many economic and financial time series displays persistent…

计量经济学 · 经济学 2021-01-12 H. Peter Boswijk , Giuseppe Cavaliere , Anders Rahbek , Iliyan Georgiev

We measure the influence of different time-scales on the dynamics of financial market data. This is obtained by decomposing financial time series into simple oscillations associated with distinct time-scales. We propose two new time-varying…

统计金融 · 定量金融 2016-11-23 Noemi Nava , Tiziana Di Matteo , Tomaso Aste

This paper proposes novel tests for the absence of jumps in a univariate semimartingale and for the absence of common jumps in a bivariate semimartingale. Our methods rely on ratio statistics of power variations based on irregular…

统计理论 · 数学 2017-12-21 Ole Martin , Mathias Vetter

Contagion arising from clustering of multiple time series like those in the stock market indicators can further complicate the nature of volatility, rendering a parametric test (relying on asymptotic distribution) to suffer from issues on…

统计金融 · 定量金融 2025-03-05 Erniel B. Barrios , Paolo Victor T. Redondo

In this paper, we show how to estimate the asymptotic (conditional) covariance matrix, which appears in central limit theorems in high-frequency estimation of asset return volatility. We provide a recipe for the estimation of this matrix by…

计量经济学 · 经济学 2026-01-26 Kim Christensen , Mark Podolskij , Nopporn Thamrongrat , Bezirgen Veliyev

This paper introduces an econometric framework for analyzing cross-sectional dependence in the idiosyncratic volatilities of assets using high frequency data. We first consider the estimation of standard measures of dependence in the…

计量经济学 · 经济学 2025-05-08 Ilze Kalnina , Kokouvi Tewou

We present a novel approach to test for heteroscedasticity of a non-stationary time series that is based on Gini's mean difference of logarithmic local sample variances. In order to analyse the large sample behaviour of our test statistic,…

统计理论 · 数学 2021-05-24 Sara Kristin Schmidt , Max Wornowizki , Roland Fried , Herold Dehling
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