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.

翻译：文献[12]讨论了多目标跟踪（MTT）的两种方法：广义标签多伯努利（GLMB）滤波器与三种泊松多伯努利混合（PMBM）滤波器。文献[13]探讨了多目标轨迹表示的两种框架——标签随机有限集（LRFS）与轨迹集合（SoT），以及将SoT与PMBM融合为轨迹PMBM（TPMBM）理论的过程。本文总结并拓展了文献[12]和[13]的核心发现——具体阐释了为何SoT、PMBM及TPMBM在物理原理与数学基础上存在谬误。