Aniq fanlar

Central limit theorem for autoregressive processes with values in Lp[0; 1]

Central limit theorem, autoregressive process, mixing condition.

Авторы

  • Ibrohim Muxtorov V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan, Узбекистан

In this paper, first-order autoregressive processes with values in the function space Lp[0; 1] are
examined. Under two weak-dependence assumptions imposed on the innovations, a central limit
theorem for these AR(1)-processes is established.