As part of a broader search for statistical descriptors of the burstiness of stationary point processes including teletraffic streams, we consider a stationary point process with two types of labeled events. With two positive integers r 1 and r 2 specified beforehand, an event of type 2 is the end of a 1-run if it is preceded by at least r 1 events of type 1 for which there are no intervening events of type 2. Similarly, the end of a 2-run is an event of type 1 preceded by at least r 2 events of type 2 without intervening events of type 1. By working with the tractable and versatile Markovian arrival process (MAP) we are able to derive descriptors that can shed light on its behavior. Examples and illustrative figures are included.