Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 271)Daphne Jackson fellowship funded by EPSRC; Australian Research Council (project number DP150102758); ToppForsk project nr. 274410 of the Research Council of Norway with title STORM: Stochastics for Time-Space Risk Models
Abstract. This work investigates financial models for option pricing, interest rates and credit risk...
This thesis tackles several issues raised by the multi-scale properties of financial data. Itconsist...
We construct a binary market model with memory that approximates a continuous-time market model driv...
We consider a utility maximization problem in a broad class of markets. Apart from traditional semim...
The theory of fractional Brownian motion and other long-memory processes are addressed in this volum...
The purpose of this work is the analysis of financial models, especially for option pricing, interes...
In recent years, there has been a great interest in modelling financial markets using fractional Bro...
This thesis deals with the stochastic integral with respect to Gaussian processes, which can be expr...
Two applications of the fractional Brownian motion will be presented. First, we study the time-regul...
Traditional financial modeling is based on semimartingale processes with stationary and independent ...
Statistical analysis on various stocks reveals long range dependence behavior of the stock prices th...
This doctoral thesis endeavors to extend probability and statistical models using stochastic differe...
We propose a model of fractal point process driven by the nonlinear stochastic differential equation...
International audienceThe aim of this work is to advocate the use of multifractional Brownian motion...
Earlier we proposed the stochastic point process model, which reproduces a variety of self-affine ti...
Abstract. This work investigates financial models for option pricing, interest rates and credit risk...
This thesis tackles several issues raised by the multi-scale properties of financial data. Itconsist...
We construct a binary market model with memory that approximates a continuous-time market model driv...
We consider a utility maximization problem in a broad class of markets. Apart from traditional semim...
The theory of fractional Brownian motion and other long-memory processes are addressed in this volum...
The purpose of this work is the analysis of financial models, especially for option pricing, interes...
In recent years, there has been a great interest in modelling financial markets using fractional Bro...
This thesis deals with the stochastic integral with respect to Gaussian processes, which can be expr...
Two applications of the fractional Brownian motion will be presented. First, we study the time-regul...
Traditional financial modeling is based on semimartingale processes with stationary and independent ...
Statistical analysis on various stocks reveals long range dependence behavior of the stock prices th...
This doctoral thesis endeavors to extend probability and statistical models using stochastic differe...
We propose a model of fractal point process driven by the nonlinear stochastic differential equation...
International audienceThe aim of this work is to advocate the use of multifractional Brownian motion...
Earlier we proposed the stochastic point process model, which reproduces a variety of self-affine ti...
Abstract. This work investigates financial models for option pricing, interest rates and credit risk...
This thesis tackles several issues raised by the multi-scale properties of financial data. Itconsist...
We construct a binary market model with memory that approximates a continuous-time market model driv...