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Hypothesis testing in the presence of uncertain parameters is known as "composite" hypothesis testing.
When there are unknown parameters in the probability density functions (PDFs), the test is called composite hypothesis testing.
Since the distribution of the measured level-crossing times in the noise-only case (FPNR=0) is different from that in case a pulse is present (FPNR≠0), as shown in Fig. 4, this characteristic can be exploited in detection of the pulse from the noise floor using composite hypothesis testing.
Neural detectors are considered to approximate the Neyman Pearson (NP) in composite hypothesis testing problems.
In Section 4, the TOA is estimated using composite hypothesis testing based on the joint PDFs of the TOA measurements.
In the Neyman-Pearson sense, the optimum solution for the composite hypothesis testing problem (1) is the likelihood ratio test (LRT).
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Generalized likelihood ratio test (GLRT) is one kind of the composite hypothesis test.
These two PDFs can be used in a composite hypothesis test for estimating the FP's TOA.
This is the general case study in a radar problem, where detection is formulated as a composite hypothesis test.
This is a composite hypothesis test since the PDF under ℋ 1 depends on L unknown parameters.
For estimation of the TOA from a number of measured arrival time events, a composite hypothesis test and MLE is applied.
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