For the logarithm (g) of the likelihood ratio defined in Eq. (9.36), (e^{g}=) (frac{p_{1}(x)}{p_{0}(x)}). Define the moment

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For the logarithm $g$ of the likelihood ratio defined in Eq. (9.36), $e^{g}=$ $\frac{p_{1}(x)}{p_{0}(x)}$. Define the moment generating function of $g$ under Hypotheses $H_{0}$ and $H_{1}$ by

Show that $f_{1}(s)=f_{0}(s+1)$. Determine $f_{0}(s)$ for the logarithm of the likelihood ratio in Example.

Equation 9.36 image text in transcribed

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Free Space Optical Systems Engineering Design And Analysis

ISBN: 9781119279020

1st Edition

Authors: Larry B. Stotts

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Question Posted: Mar 23, 2024 01:00 PM

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For the logarithm (g) of the likelihood ratio defined in Eq. (9.36), (e^{g}=) (frac{p_{1}(x)}{p_{0}(x)}). Define the moment

Question:

f(s) = {es|H;}, j=0,1.

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Free Space Optical Systems Engineering Design And Analysis

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