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Fractional Lévy-driven Ornstein--Uhlenbeck processes and stochastic differential equations
fractional integral equation fractional Levy process fractional Levy–Ornstein–Uhlenbeck process long-range dependence p-variation Riemann–Stieltjes integration stationary solution to a fractional SDE stochastic diff erential equation
2011/3/18
Using Riemann-Stieltjes methods for integrators of bounded $p$-variation we define a pathwise integral driven by a fractional L\'{e}vy process (FLP). To explicitly solve general fractional stochastic ...
Optimal sequential change-detection for fractional stochastic differential equations
优化序贯Optimal sequential change-detection fractional stochastic differential equations
2011/3/18
The sequential detection of an abrupt and persistent change in the dynamics of an arbitrary continuous-path stochastic process is considered; the optimality of the cumulative sums (CUSUM) test is esta...
