The Generalized Likelihood Ratio Test
There is no universally optimal test strategy for composite hypotheses (unknown parameters in the pdfs). The generalized likelihood ratio test (GLRT) is a likelihood ratio in which the unknown parameters are replaced by their maximum likelihood estimates. Example of the GLRT for detecting a signal of known shape but unknown amplitude in noise of unknown variance.

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Introduction to Detection Theory (Hypothesis Testing)

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Likelihood Ratio Tests Clearly Explained

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Lec 14: Generalized Likelihood Ratio Testing

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Maximum Likelihood Estimation Examples

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Introduction to Estimation Theory

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Maximum Likelihood Estimation and Bayesian Estimation

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Wald test | Likelihood ratio test | Score test

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Neyman-Pearson Test for Binary Hypothesis Testing

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Likelihood Ratios Explained

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Likelihood Estimation - THE MATH YOU SHOULD KNOW!

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Short-time Fourier Transform and the Spectogram

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If Prime Numbers Become Increasingly Rare, Then Why Do They Keep Showing Up In Pairs?

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Likelihood ratio test - introduction

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Hypothesis Testing in Statistics

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Neyman Pearson Lemma

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Welch's Method: The Averaged Periodogram

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Train Your Brain to Never Forget (5 Feynman Habits)

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Introduction to Binary Hypothesis Testing

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Likelihood Ratio Test

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