Abstract
Many researchers deal with data that can be viewed as a series of trials, each with two possible outcomes. We will arbitrarily label the two alternative possible outcomes of a trial as success and failure. The maximum number within any m contiguous trials within the N trials, denoted S′m, is called the scan statistic. For the special case where S′m = m, a success run of length m has occurred within the N trials. For the general case where S′m= k, a quota of at least k successes within m consecutive trials has occurred.