To test Ho: 0= 5 v.s. H₁:0=2, which of the following is the likelihood ratio statistic?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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i.i.d
X₁,..., Xn
2
Exp(0), i.e., its p.d.f is
So-¹e-x/0,
{0.²
0,
f(x) =
(A) Σ1 Χ;
(B) II/1X;
(C) II/1 e-X₁/0
е
(D) Σ₁ e-X₁/0
Σ=1
if x > 0,
else.
To test Ho: 0= 5 v.s. H₁ : 0= 2, which of the following is the
likelihood ratio statistic?
Transcribed Image Text:i.i.d X₁,..., Xn 2 Exp(0), i.e., its p.d.f is So-¹e-x/0, {0.² 0, f(x) = (A) Σ1 Χ; (B) II/1X; (C) II/1 e-X₁/0 е (D) Σ₁ e-X₁/0 Σ=1 if x > 0, else. To test Ho: 0= 5 v.s. H₁ : 0= 2, which of the following is the likelihood ratio statistic?
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