Statistical inference for fractional diffusion processes
BLSP Rao - 2011 - books.google.com
Stochastic processes are widely used for model building in the social, physical, engineering
and life sciences as well as in financial economics. In model building, statistical inference for …
and life sciences as well as in financial economics. In model building, statistical inference for …
Parameter estimation for fractional Ornstein–Uhlenbeck processes of general Hurst parameter
This paper studies the least squares estimator (LSE) for the drift parameter of an Ornstein–
Uhlenbeck process driven by fractional Brownian motion, whose observations can be made …
Uhlenbeck process driven by fractional Brownian motion, whose observations can be made …
Simulation and inference for stochastic processes with YUIMA
Statistics for stochastic processes is rapidly develo**. It forms a branch of mathematical
sciences, spreading over theoretical statistics, probability theory, software development and …
sciences, spreading over theoretical statistics, probability theory, software development and …
Improvement in Hurst exponent estimation and its application to financial markets
A Gómez-Águila, JE Trinidad-Segovia… - Financial Innovation, 2022 - Springer
This research aims to improve the efficiency in estimating the Hurst exponent in financial
time series. A new procedure is developed based on equality in distribution and is …
time series. A new procedure is developed based on equality in distribution and is …
Parameter estimation for the discretely observed fractional Ornstein–Uhlenbeck process and the Yuima R package
A Brouste, SM Iacus - Computational Statistics, 2013 - Springer
This paper proposes consistent and asymptotically Gaussian estimators for the parameters
λ, σ and H of the discretely observed fractional Ornstein–Uhlenbeck process solution of the …
λ, σ and H of the discretely observed fractional Ornstein–Uhlenbeck process solution of the …
Local asymptotic normality property for fractional Gaussian noise under high-frequency observations
A Brouste, M Fukasawa - 2018 - projecteuclid.org
Abstract Local Asymptotic Normality (LAN) property for fractional Gaussian noise under high-
frequency observations is proved with nondiagonal rate matrices depending on the …
frequency observations is proved with nondiagonal rate matrices depending on the …
A least square-type procedure for parameter estimation in stochastic differential equations with additive fractional noise
We study a least square-type estimator for an unknown parameter in the drift coefficient of a
stochastic differential equation with additive fractional noise of Hurst parameter H> 1/2 H> …
stochastic differential equation with additive fractional noise of Hurst parameter H> 1/2 H> …
[BOOK][B] Inference on the Hurst parameter and the variance of diffusions driven by fractional Brownian motion
The use of diffusion models driven by fractional noise has become popular for more than two
decades. The reasons that produced this situation have been varied in nature. We can …
decades. The reasons that produced this situation have been varied in nature. We can …
[HTML][HTML] The rate of convergence of Hurst index estimate for the stochastic differential equation
K Kubilius, Y Mishura - Stochastic processes and their applications, 2012 - Elsevier
We consider a stochastic differential equation involving a pathwise integral with respect to
fractional Brownian motion. The estimates for the Hurst parameter are constructed according …
fractional Brownian motion. The estimates for the Hurst parameter are constructed according …
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 …