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| kb:hypothesis_testing [2021-05-11 20:04] – [Maximum a posteriori rule] jaeyoung | kb:hypothesis_testing [2024-04-30 04:03] (current) – external edit 127.0.0.1 | ||
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| The likelihood ratio $\Lambda(r)$ is defined as: | The likelihood ratio $\Lambda(r)$ is defined as: | ||
| - | $$ \Lambda(r) = \frac{P(H_1) | + | $$ \Lambda(r) = \frac{f_{R|H}(r|H_1)}{f_{R|H}(r|H_0)} $$ |
| We can compare this likelihood ratio to the threshold $\eta$, which is the ratio between the a priori probabilities: | We can compare this likelihood ratio to the threshold $\eta$, which is the ratio between the a priori probabilities: | ||