InhomogeneousPoissonProcess
InhomogeneousPoissonProcess[λ[t], t] represents an inhomogeneous Poisson process with intensity λ[t] given as a function of t.
Examples
InhomogeneousPoissonProcess[1 + Sin[t], t]RandomFunction[InhomogeneousPoissonProcess[1 + 0.5 Cos[t], t], {0, 10}]Please visit the official Wolfram Language Reference for more details.