We present a (semi-) analytical model of asset fluctuations using the framework of Fokker-Planck equations, together with generalised diffusion coefficients. Allowing for time dependence of the coefficients D1 and D2 provides a route to the characterization of the long- and short-time nature of autocorrelation functions, as is demonstrated for Dow Jones 1993–2012 financial data
We present a nonlinear stochastic differential equation (SDE) which mimics the probability density f...
This paper deals with the estimation of continuous-time diffusion processes which model the dynamics...
A discrete time model for asset price changes is considered. The volatility process underlying these...
We study the evolution of probability distribution functions of returns, from the tick data of the K...
A necessary precondition for modeling financial markets is a complete understanding of their statist...
A necessary precondition for modeling financial markets is a complete understanding of their statist...
This paper presents a new alternative diffusion model for asset price movements. In contrast to the ...
We study the activity of financial markets, i.e., the number of transactions per unit of time. Using...
For over a hundred years, diffusion differential equations have been used to model the changes in as...
Abstract — In this paper we will describe the basic concepts of normal and anomalous diffusion, and ...
© 2017, EDP Sciences and Springer.A weak invariant of a stochastic system is defined in such a way t...
A simple agent model is introduced by analogy with the mean field approach to the Ising model for a ...
In this paper, we will describe an analytical solution to a problem of pricing financial assets with...
Time-dependent behaviour of fluctuations for a reaction-diffusion system is analyzed using the multi...
We present and discuss a stochastic model of financial assets dynamics based on the idea of an inver...
We present a nonlinear stochastic differential equation (SDE) which mimics the probability density f...
This paper deals with the estimation of continuous-time diffusion processes which model the dynamics...
A discrete time model for asset price changes is considered. The volatility process underlying these...
We study the evolution of probability distribution functions of returns, from the tick data of the K...
A necessary precondition for modeling financial markets is a complete understanding of their statist...
A necessary precondition for modeling financial markets is a complete understanding of their statist...
This paper presents a new alternative diffusion model for asset price movements. In contrast to the ...
We study the activity of financial markets, i.e., the number of transactions per unit of time. Using...
For over a hundred years, diffusion differential equations have been used to model the changes in as...
Abstract — In this paper we will describe the basic concepts of normal and anomalous diffusion, and ...
© 2017, EDP Sciences and Springer.A weak invariant of a stochastic system is defined in such a way t...
A simple agent model is introduced by analogy with the mean field approach to the Ising model for a ...
In this paper, we will describe an analytical solution to a problem of pricing financial assets with...
Time-dependent behaviour of fluctuations for a reaction-diffusion system is analyzed using the multi...
We present and discuss a stochastic model of financial assets dynamics based on the idea of an inver...
We present a nonlinear stochastic differential equation (SDE) which mimics the probability density f...
This paper deals with the estimation of continuous-time diffusion processes which model the dynamics...
A discrete time model for asset price changes is considered. The volatility process underlying these...