Consistent estimation for fractional stochastic volatility model under high‐frequency asymptotics
M Fukasawa, T Takabatake… - Mathematical Finance, 2022 - Wiley Online Library
We develop a statistical theory for a continuous time approximately log‐normal fractional
stochastic volatility model to examine whether the volatility is rough, that is, whether the …
stochastic volatility model to examine whether the volatility is rough, that is, whether the …
Is volatility rough?
M Fukasawa, T Takabatake, R Westphal - arXiv preprint arXiv:1905.04852, 2019 - arxiv.org
Rough volatility models are continuous time stochastic volatility models where the volatility
process is driven by a fractional Brownian motion with the Hurst parameter smaller than half …
process is driven by a fractional Brownian motion with the Hurst parameter smaller than half …
Statistical inference for rough volatility: Minimax theory
Statistical inference for rough volatility: Minimax theory Page 1 The Annals of Statistics 2024,
Vol. 52, No. 4, 1277–1306 https://doi.org/10.1214/23-AOS2343 © Institute of Mathematical …
Vol. 52, No. 4, 1277–1306 https://doi.org/10.1214/23-AOS2343 © Institute of Mathematical …
High-frequency analysis of parabolic stochastic PDEs
C Chong - 2020 - projecteuclid.org
Supplement to “High-frequency analysis of parabolic stochastic PDEs”. This paper is
accompanied by supplementary material in [14]. Section A in [14] gives some auxiliary …
accompanied by supplementary material in [14]. Section A in [14] gives some auxiliary …
[HTML][HTML] Optimal estimation of the rough Hurst parameter in additive noise
G Szymanski - Stochastic Processes and their Applications, 2024 - Elsevier
We estimate the Hurst parameter H∈(0, 1) of a fractional Brownian motion from discrete
noisy data, observed along a high-frequency sampling scheme. When the intensity τ n of the …
noisy data, observed along a high-frequency sampling scheme. When the intensity τ n of the …
Efficient estimation of stable Lévy process with symmetric jumps
A Brouste, H Masuda - Statistical Inference for Stochastic Processes, 2018 - Springer
Efficient estimation of a non-Gaussian stable Lévy process with drift and symmetric jumps
observed at high frequency is considered. For this statistical experiment, the local asymptotic …
observed at high frequency is considered. For this statistical experiment, the local asymptotic …
Asymptotically efficient estimators for self-similar stationary Gaussian noises under high frequency observations
M Fukasawa, T Takabatake - 2019 - projecteuclid.org
Supplement to “Asymptotically efficient estimators for self-similar stationary Gaussian noises
under high frequency observations”. We explain how to implement spectral densities of self …
under high frequency observations”. We explain how to implement spectral densities of self …
Rate-optimal estimation of mixed semimartingales
Consider the sum $ Y= B+ B (H) $ of a Brownian motion $ B $ and an independent fractional
Brownian motion $ B (H) $ with Hurst parameter $ H\in (0, 1) $. Even though $ B (H) $ is not …
Brownian motion $ B (H) $ with Hurst parameter $ H\in (0, 1) $. Even though $ B (H) $ is not …
When frictions are fractional: Rough noise in high-frequency data
CH Chong, T Delerue, G Li - Journal of the American Statistical …, 2024 - Taylor & Francis
The analysis of high-frequency financial data is often impeded by the presence of noise.
This article is motivated by intraday return data in which market microstructure noise …
This article is motivated by intraday return data in which market microstructure noise …
One-step estimation for the fractional Gaussian noise at high-frequency
A Brouste, M Soltane, I Votsi - ESAIM: Probability and Statistics, 2020 - esaim-ps.org
The present paper concerns the parametric estimation for the fractional Gaussian noise in a
high-frequency observation scheme. The sequence of Le Cam's one-step maximum …
high-frequency observation scheme. The sequence of Le Cam's one-step maximum …