Central limit theorem for supercritical binary homogeneous Crump-Mode-Jagers processes

In this paper, we study the asymptotic behavior of the local time process, in the spatial variable, of these processes killed at two different random times: either at the time of

More specifically, Theorem 4.1 shows the convergence of these (suitably renormalized) queue length processes to the regenerative process whose excursions are obtained from those of

Since every separable Banach space is isometric to a linear subspace of a space C(S), our central limit theorem gives as a corollary a general central limit theorem for separable

Sufficient conditions for the continuity of stationary gaussian processes and applications to random series of functions.. Annales de l’institut Fourier, tome 24, n o 2

In Section 7 we study the asymptotic coverage level of the confidence interval built in Section 5 through two different sets of simulations: we first simulate a

Our recent paper [12] is just devoted to this lower deviation problem of supercritical Galton–Watson processes, but our result in the Böttcher case is not very satisfactory: we

Sufficient Conditions for a Central Limit Theorem to Assess the Error of Randomized Quasi-Monte Carlo Methods.. Proceedings of the 2021 Winter Simulation Con- ference, Dec 2021,

Abstract: We established the rate of convergence in the central limit theorem for stopped sums of a class of martingale difference sequences.. Sur la vitesse de convergence dans le