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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40fe84d1-bf70-4a1c-beb8-24b206cbd90b%2Fb59bce20-a08c-46f6-8a39-8bfa7eb53dd0%2Frk1iuu_processed.jpeg&w=3840&q=75)
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
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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