What is the random process underlying this figure

39 Views Asked by Bumbble Comm At 13 Apr 2026 - 9:13

I have the following random process and I would like to know what could be its underlying stochastic process:

enter image description here

The closest I can get is by simulating the following:

$ dX_t=\displaystyle\frac{dP_t}{k*Sin(t)} $

where $P_t$ is a Poisson process.

In Mathematica, the simulated random process is:

RandomInteger[PoissonDistribution[1], 1000]/10*
  Abs[Table[Sin[x], {x, 1, 1000}]];

This gives the following figure:

enter image description here

Any ideas?