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This paper presents a multiple-model hypothesis testing (MMHT) approach using a representative model (RM) for detecting unknown events that may have multiple distributions. It addresses various difficulties of MMHT for composite, multivariate, nondisjoint, and mis-specified hypothesis sets with correlated observations, and decides which region of the mode space covered by the model set is better....
Double sequential probability ratio test (2-SPRT), as an extended version of SPRT to cope with the no-upper-bound problem, is extended to the multiple-model hypothesis testing (MMHT) approach, called 2-MMSPRT, for detecting unknown events that may have multiple prior distributions. Not only does it address the mis-specified problem of the SPRT based MMHT method (MMSPRT), but it also can be expected...
This paper presents a geometric-view-based evaluation for the generalized Marcum Q-function Q_m(a,b), which is interpreted as the probability that a random Gaussian point whose mean vector has an Euclidean norm a≥, lies outside of an N-dimensional sphere/hypersphere of radius b≥0, centered on the origin point O, where N=2m≥3. By using the geometric symmetry of the sphere/hypersphere...
Considerable research has been done on tracking ground targets, including on-road targets. Lane tracking of an on-road target is a new problem in the ground target tracking area. Knowledge of the lane that a target is located in is of particular interest in on-road surveillance and target tracking systems. This paper proposes a method to track the lane of an on-road target based on a hidden Markov...
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