Abstract:
The paper gives a theoretical and numerical justification of the bias with the $O(1/N)$ order for the $N$-particle statistical estimates of the functionals of the solution of nonlinear kinetic equations for the model with interaction of particle trajectories. An estimate of the coefficient in the corresponding bias formula is obtained.
Keywords:chaos propagation hypothesis, Monte Carlo method, Boltzmann equation, rarefied gas theory, SEIR epidemic model, single-particle density distribution, $N$-particle ensemble, $\delta$-continuity, Markov chain.
