A Protocol for Simultaneously Estimating Moments and Popular Groups in a Multigroup RFID System

Radio frequency identification (RFID) technology has rich applications in cyber-physical systems, such as warehouse management and supply chain control. Often in practice, tags are attached to objects belonging to different groups, which may be different product types/manufacturers in a warehouse or different book categories in a library. As RFID technology evolves from single-group to multiple-group systems, there arise several interesting problems. One of them is to identify the popular groups, whose numbers of tags are above a pre-defined threshold. Another is to estimate arbitrary moments of the group size distribution, such as sum, variance, and entropy for the sizes of all groups. In this paper, we consider a new problem which is to estimate all these statistical metrics simultaneously in a time-efficient manner without collecting any tag IDs. We solve this problem by a protocol named generic moment estimator (GME), which allows the tradeoff between estimation accuracy and time cost. According to the results of our theoretical analysis and simulation studies, this GME protocol is several times or even orders of magnitude more efficient than a baseline protocol that takes a random sample of tag groups to estimate each group size.