Sökning: "fractional Ornstein-Uhlenbeck process"

Hittade 3 avhandlingar innehållade orden fractional Ornstein-Uhlenbeck process.

  1. 1. Some Extensions of Fractional Ornstein-Uhlenbeck Model : Arbitrage and Other Applications

    Författare :José Igor Morlanes; Andriy Andreev; Hans Nyquist; Henrik Hult; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; fractional Ornstein-Uhlenbeck process; insider information; simulation embedding method; jump times; least-squares estimator; likelihood process; Ito calculus; Malliavin calculus; stochastic calculus; Statistics; statistik;

    Sammanfattning : This doctoral thesis endeavors to extend probability and statistical models using stochastic differential equations. The described models capture essential features from data that are not explained by classical diffusion models driven by Brownian motion.New results obtained by the author are presented in five articles. LÄS MER

  3. 2. A Differentiable Approach to Stochastic Differential Equations : the Smoluchowski Limit Revisited

    Författare :Haidar Al-Talibi; Astrid Hilbert; Yaozhong Hu; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; α-stable Lévy noise; Fractional Brownian motion; Girsanov theorem; Mean-field model; Nonlinear stochastic oscillator; Ornstein-Uhlenbeck process; Scaling limit; Second order Itô equation; Time change.; Matematik; Mathematics;

    Sammanfattning : In this thesis we generalize results by Smoluchowski [43], Chandrasekhar[6], Kramers, and Nelson [30]. Their aim is to construct Brownian motion as a limit of stochastic processes with differentiable sample paths by exploiting a scaling limit which is a particular type of averaging studied by Papanicolao [35]. LÄS MER

  4. 3. Topics on fractional Brownian motion and regular variation for stochastic processes

    Författare :Henrik Hult; KTH; []
    Nyckelord :stochastic processes; regular variation; extreme value theory; fractional Brownian motion; parameter estimation;

    Sammanfattning : The first part of this thesis studies tail probabilities forelliptical distributions and probabilities of extreme eventsfor multivariate stochastic processes. It is assumed that thetails of the probability distributions satisfy a regularvariation condition. LÄS MER