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 …

Modeling of decoherence and fidelity enhancement during transport of entangled qubits

AS Mokeev, YN Zhang, VV Dobrovitski - arxiv preprint arxiv:2409.04404, 2024 - arxiv.org
Entangled qubits transported through space is a key element in many prospective quantum
information systems, from long-distance quantum communication to large modular quantum …

On the optimal designs for the prediction of Ornstein–Uhlenbeck sheets

S Baran, K Sikolya, M Stehlík - Statistics & Probability Letters, 2013 - Elsevier
Computer simulations are often used to replace physical experiments for exploring the
complex relationships between input and output variables. We study the optimal design …

Convergence of integrated superpositions of Ornstein-Uhlenbeck processes to fractional Brownian motion

N Leonenko, E Taufer - … : An International Journal of Probability and …, 2005 - Taylor & Francis
Superpositions of Ornstein-Uhlenbeck processes provide convenient ways to build
stationary processes with given marginal distributions and long range dependence. After …

Characteristic function estimation of non-Gaussian Ornstein–Uhlenbeck processes

E Taufer, N Leonenko - Journal of Statistical Planning and Inference, 2009 - Elsevier
Continuous non-Gaussian stationary processes of the OU-type are becoming increasingly
popular given their flexibility in modelling stylized features of financial series such as …

Optimal designs for parameters of shifted Ornstein–Uhlenbeck sheets measured on monotonic sets

S Baran, M Stehlík - Statistics & Probability Letters, 2015 - Elsevier
Measurement on sets with a specific geometric shape can be of interest for many important
applications (eg, measurement along the isotherms in structural engineering). The …

K-optimal designs for parameters of shifted Ornstein–Uhlenbeck processes and sheets

S Baran - Journal of Statistical Planning and Inference, 2017 - Elsevier
Continuous random processes and fields are regularly applied to model temporal or spatial
phenomena in many different fields of science, and model fitting is usually done with the …

Optimal designs for the methane flux in troposphere

S Baran, K Sikolya, M Stehlík - Chemometrics and Intelligent Laboratory …, 2015 - Elsevier
The understanding of methane emission and methane absorption plays a central role both
in the atmosphere and on the surface of the Earth. Several important ecological processes …

A mathematical framework for new fault detection schemes in nonlinear stochastic continuous-time dynamical systems

PJ Zufiria - Applied Mathematics and Computation, 2012 - Elsevier
In this work, a mathematical unifying framework for designing new fault detection schemes in
nonlinear stochastic continuous-time dynamical systems is developed. These schemes are …

Parameter estimation in linear regression driven by a Gaussian sheet

S Baran, K Sikolya - Acta Scientiarum Mathematicarum, 2012 - Springer
The problem of estimating the parameters of a linear regression model Z (s, t)= m 1 g 1 (s,
t)+···+ mpgp (s, t)+ U (s, t) based on observations of Z on a spatial domain G of special shape …