Labeled random finite sets vs. trajectory random finite sets

The paper [12] discussed two approaches for multitarget tracking (MTT): the generalized labeled multi-Bernoulli (GLMB) filter and three Poisson multi-Bernoulli mixture (PMBM) filters. The paper [13] discussed two frameworks for multitarget trajectory representation–labeled random finite set (LRFS) and set of trajectories (SoT)–and the merging of SoT and PMBM into trajectory PMBM (TPMBM) theory. This paper summarizes and augments the main findings of [12], [13]–specifcally, why SoT, PMBM, and TPMBM are physically and mathematically erroneous.