TY - JOUR AB - Using the martingale approach we find sufficient conditions for exponential boundedness of first passage times over a level for ergodic first order autoregressive sequences. Further, we prove a martingale identity to be used in obtaining explicit bounds for the expectation of first passage times. AU - Novikov, A AU - Kordzakhia, N DA - 2008/04/01 DO - 10.1080/17442500701840885 EP - 210 JO - Stochastics PY - 2008/04/01 SP - 197 TI - Martingales and first passage times of AR(1) sequences VL - 80 Y1 - 2008/04/01 Y2 - 2026/06/18 ER -