Section: New Results

Approximations for scan statistics.

Participants : Alexandru Amarioarei, Cristian Preda.

Accurate approximations for the distribution of extremes of 1-dependent stationary sequences are developed (see [38] ). Viewed as maximum of some particular sequence of 1-dependent random variables, we provide sharp error bounds and approximations for the distribution of the three-dimensional scan statistics (see [39] ). The Binomial and Poisson models are considered.