how to generate synthetic data using probability?

I have trajectories data.

and I wanna make synethetic trajectories using probability, if possible, using gaussian process.

but i have no idea how to do this.

Please let me know how to do this.

thanks.

Answer 1

[Walter Roberson]

randn() * standard_deviation + mean

The result is seldom realistic trajectories, as real trajectories have more continuity. Using a covariance matrix to bias the results might give something more realistic. For example Brownian Motion involves particles continuing to move in a straight line until collision.