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- W289604686 abstract "A derivation is provided herein of the fundamental Integral and its evaluation using the Cauchy Residue Theorem to enable a rigorous setting of decision thresholds for the Two Confidence Region (CR2) approach to failure detection. This CR2 approach (for 1-D and 2-D) was historically used on board US Submarines in monitoring the SINS/ESGM Inertial Navigation Systems (INS) for the presence of ramp failures, a prominent failure mode observed to sometimes occur within the ESGM as it was originally being introduced on board these boats 30+ years ago. The resulting equations enable statistical analysis and associated performance trade-offs constituting the CR2 Receiver Operating Characteristics (ROC). CR2 continues to be rigorous even when reduced-order Kalman filter models are used in the implementation, which causes the associated filter residuals to no longer be purely white and unbiased in the unfailed situation. Related to this aspect of model mismatch, we also point out apparent weaknesses of GLR and IMM-KF, the latter being especially worrisome in its attempted generalization of associated probability calculations for nonlinear applications." @default.
- W289604686 created "2016-06-24" @default.
- W289604686 creator A5085224143 @default.
- W289604686 date "2005-01-01" @default.
- W289604686 modified "2023-09-27" @default.
- W289604686 title "Crucial Integral Evaluation Enabling Performance Trade-offs for a Two Confidence Region (CR2) Approach to Failure Detection∗" @default.
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