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Detecting, Localizing, and Tracking an Unknown Number of Moving Targets ...

https://sites.temple.edu/pdames/files/2016/07/DamesTokekarKumarISRR2015.pdf

Let Xt = fx1;t;x2;t;:::;xnt;tg denote a realization of a RFS of target states at time t. A probability distribution of a RFS is characterized by a discrete distribution over the cardinality of the set and a family of densities for the elements of the set conditioned on the size, i.e.,