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Showing 1 to 4 of 4 for “"Invariant tests"”.
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Invariant tests for scale parameters under elliptical symmetry
… theory. In this thesis a variety of standard tests for scale parameters is considered when the observations are not necessarily either Gaussian or independent. The distributions considered are the spherically symmetric vector laws, i.e. laws for which x(nx1) and Px have the same distribution …
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Constraints and invariance in target detection
… is discussed for purposes of target detection. Invariant tests are proposed and analysed in two contexts. The first involves the use of cyclic permutation invariance as a solution to detecting targets with unknown location in noise. An invariance condition is used to eliminate the target …
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Energy -Efficient Sensor Networks for Detection Applications
… is time varying and only partially known. Invariant tests with thresholds or parameters that can be determined independently at each sensor node are necessary to avoid frequent communication between nodes. For distance metrics and for sufficiently small communication rates in Bayesian and …
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Optimal and Suboptimal Signal Detection-On the Relationship Between Estimation and Detection Theory
… cases, we introduce new suboptimal SF-Estimator Tests (SFETs) which are easy to derive for many problems. In the second part, we study the relationship between Constant False Alarm Rate (CFAR) and invariant tests. We generally show that for a family of distributions, the unknown parameters are …