In accordance with an aspect of the invention, flexible burst boundaries, within an allowable range, allow statistical multiplexing to be performed in conjunction with time slicing in a digital broadcast network. The signalling of the delta-t is performed such that data of the service is not missed. Similar to deterministic multiplexing, aspects of the invention split the multiplex into several time-cycles and allocate, for each service, a time slot (data burst) from the total time-cycle according to the service's average bit rate. In accordance with aspects of the invention, however, the boundaries of each data burst are allowed to grow or shrink by a limited amount.