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As a forward-looking measure of future equity market volatility, the VIX index has gained immense popularity in recent years to become a key measure of risk for market analysts and academics. We consider discrete reported intraday VIX tick…

Applications · Statistics 2018-12-04 Han Lin Shang , Yang Yang , Fearghal Kearney

Predicting the intraday stock jumps is a significant but challenging problem in finance. Due to the instantaneity and imperceptibility characteristics of intraday stock jumps, relevant studies on their predictability remain limited. This…

Trading and Market Microstructure · Quantitative Finance 2019-12-17 Ao Kong , Hongliang Zhu , Robert Azencott

Environmental data often take the form of a collection of curves observed sequentially over time. An example of this includes daily pollution measurement curves describing the concentration of a particulate matter in ambient air. These…

Computation · Statistics 2016-08-26 Han Lin Shang

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…

Methodology · Statistics 2023-05-09 Piotr Kokoszka , Neda Mohammadi , Haonan Wang , Shixuan Wang

The aim of this article is to briefly review and make new studies of correlations and co-movements of stocks, so as to understand the "seasonalities" and market evolution. Using the intraday data of the CAC40, we begin by reasserting the…

Statistical Finance · Quantitative Finance 2015-06-04 Gayatri Tilak , Tamas Szell , Remy Chicheportiche , Anirban Chakraborti

The aim of this paper is to compute one-day-ahead prediction regions for daily curves of electricity demand and price. Three model-based procedures to construct general prediction regions are proposed, all of them using bootstrap…

Methodology · Statistics 2024-01-23 Rebeca Peláez , Germán Aneiros , Juan Vilar

This paper models stochastic process of price time series of CSI 300 index in Chinese financial market, analyzes volatility characteristics of intraday high-frequency price data. In the new generalized Barndorff-Nielsen and Shephard model,…

Statistical Finance · Quantitative Finance 2023-01-19 Xianfei Hui , Baiqing Sun , Indranil SenGupta , Yan Zhou , Hui Jiang

We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations…

Statistical Finance · Quantitative Finance 2024-05-09 Vladimír Holý

Accurate intraday forecasts are essential for power system operations, complementing day-ahead forecasts that gradually lose relevance as new information becomes available. This paper introduces a Bayesian updating mechanism that converts…

Applications · Statistics 2026-03-17 Kutay Bölat , Peter Palensky , Simon Tindemans

Two nonparametric methods are presented for forecasting functional time series (FTS). The FTS we observe is a curve at a discrete-time point. We address both one-step-ahead forecasting and dynamic updating. Dynamic updating is a forward…

Methodology · Statistics 2021-05-11 Antonio Elías , Raúl Jiménez , Hanlin Shang

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…

Methodology · Statistics 2024-04-19 Piotr Kokoszka , Tim Kutta , Neda Mohammadi , Haonan Wang , Shixuan Wang

We construct long-term prediction intervals for time-aggregated future values of univariate economic time series. We propose computational adjustments of the existing methods to improve coverage probability under a small sample constraint.…

Econometrics · Economics 2020-02-14 Marek Chudy , Sayar Karmakar , Wei Biao Wu

This paper proposes nowcasting of high-frequency financial datasets in real-time with a 5-minute interval using the streaming analytics feature of Apache Spark. The proposed 2 stage method consists of modelling chaos in the first stage and…

Machine Learning · Computer Science 2022-02-25 Mohammad Arafat Ali Khan , Chandra Bhushan , Vadlamani Ravi , Vangala Sarveswara Rao , Shiva Shankar Orsu

We propose a bootstrap-based test to detect a mean shift in a sequence of high-dimensional observations with unknown time-varying heteroscedasticity. The proposed test builds on the U-statistic based approach in Wang et al. (2022), targets…

Methodology · Statistics 2023-11-17 Teng Wu , Stanislav Volgushev , Xiaofeng Shao

Motivated by predicting intraday trading volume curves, we consider two spatio-temporal autoregressive models for matrix time series, in which each column may represent daily trading volume curve of one asset, and each row captures…

Methodology · Statistics 2025-08-15 Baojun Dou , Jing He , Sudhir Tiwari , Qiwei Yao

This paper proposes a new bootstrap method to compute predictive intervals for nonlinear autoregressive time series model forecast. This method we call the splice boobstrap as it involves splicing the last p values of a given series to a…

Methodology · Statistics 2013-11-25 Gerard Keogh

Based on It\^o semimartingale models, several studies have proposed methods for forecasting intraday volatility using high-frequency financial data. These approaches typically rely on restrictive parametric assumptions and are often…

Econometrics · Economics 2025-07-31 Sung Hoon Choi , Donggyu Kim

Data-driven methods are emerging as efficient alternatives to traditional numerical forecasting, offering fast inference and lower computational cost. Yet, for complex systems, long-term accuracy often deteriorates due to error…

Machine Learning · Computer Science 2025-09-03 Hao Zhou , Sibo Cheng

The paper considers simultaneous nonparametric inference for a wide class of M-regression models with time-varying coefficients. The covariates and errors of the regression model are tackled as a general class of nonstationary time series…

Methodology · Statistics 2024-09-10 Miaoshiqi Liu , Zhou Zhou

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…

Statistical Finance · Quantitative Finance 2016-11-23 Noemi Nava , Tiziana Di Matteo , Tomaso Aste
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