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hat the maximum likelihood ecision rule is of the orm: Say H₁ if X₁ ≤ T for 1 ome value of T. Find the alue of T for the maximum Т kelihood decision rule.

hat the maximum likelihood ecision rule is of the orm: Say H₁ if X₁ ≤ T for 1 ome value of T. Find the alue of T for the maximum Т kelihood decision rule.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For questions 1-7, assume the problem is stated as follows: We have a binary detection problem with two hypotheses: H and H We observe a random variable y, 0 and we are given the conditional probabilities of y as Y|H f. Y|H 1 (y) = 0.5, y = [1,1]; 0 otherwise. (y) = 1 lyl, y = [1,1]; 0 otherwise. -0.5 The two densities are shown in the figures below. 16 14 12 1 OB 0.6 0.4 - 0.2 05 45 12 08 06 04 1° 02) 05
Transcribed Image Text:For questions 1-7, assume the problem is stated as follows: We have a binary detection problem with two hypotheses: H and H We observe a random variable y, 0 and we are given the conditional probabilities of y as Y|H f. Y|H 1 (y) = 0.5, y = [1,1]; 0 otherwise. (y) = 1 lyl, y = [1,1]; 0 otherwise. -0.5 The two densities are shown in the figures below. 16 14 12 1 OB 0.6 0.4 - 0.2 05 45 12 08 06 04 1° 02) 05
It is clear from the figures that the maximum likelihood decision rule is of the Y≤ T for X form: Say H₁ if 1 some value of T. Find the value of T for the maximum likelihood decision rule.
Transcribed Image Text:It is clear from the figures that the maximum likelihood decision rule is of the Y≤ T for X form: Say H₁ if 1 some value of T. Find the value of T for the maximum likelihood decision rule.
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