The dataset contains discretely sampled observations for a simulated stochastic differential equation (SDE) with dynamics:
dX_t = (1.5X_t-0.4X_tY_t)dt+sqrt(0.05X_t)dW_t
dY_t = (-1.5Y_t+0.4X_tY_t-0.2Y_t^2)dt+sqrt(0.1X_t)dB_t
dB_t are standard Brownian motions,
t is time and
X_0 = 5,
Y_0 = 5.
A data frame with 1001 observations on the following 3 variables.
A numeric vector of time nodes at which means are calculated (
time[i+1]-time[i] = 1/4).
Mean Xt trajectory of the diffusion.
Mean Yt trajectory of the diffusion.
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