This is a shortened, clarified, and mathematically more rigorous version of the original arXiv version. Its first four findings remain unchanged from the original: 1) measurement-to-track associations (MTAs) in multitarget tracking (MTT) are heuristic and physically erroneous multitarget state models; 2) MTAs occur in the labeled random finite set (LRFS) approach only as purely mathematical abstractions that do not occur singly; 3) the labeled random finite set (LRFS) approach is not a mathematically obfuscated replication of multi-hypothesis tracking (MHT); and 4) the conventional interpretation of MHT is more consistent with classical than Bayesian statistics. This version goes beyond the original in including the following additional main finding: 5) a generalized, RFS-like interpretation results in a correct Bayesian formulation of MHT, based on MTA likelihood functions and MTA Markov transitions/.
翻译:这是一份对原始arXiv版本进行精简、澄清并在数学上更严谨的版本。其前四项发现与原始版本保持一致:1)多目标跟踪(MTT)中的测量到航迹关联(MTA)是启发式的且物理上错误的多目标状态模型;2)在标记随机有限集(LRFS)方法中,MTA仅作为纯粹的数学抽象出现,且不会单独出现;3)标记随机有限集(LRFS)方法并非多假设跟踪(MHT)的数学化模糊复制;4)MHT的传统解释比贝叶斯统计更符合经典统计。本版本在原始版本基础上增加了以下额外主要发现:5)基于MTA似然函数和MTA马尔可夫转移,一种广义的、类似RFS的解释可形成MHT的正确贝叶斯公式化表述。