A random sample x,,.,. Xn from f(x; 0) = 0(1-x) = 1 {xx<1},

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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4. A random sample
Xn from
X₁;;
f(x; 0) = 0(1-x)0¹-¹1-{√xx<1},
O > O
a). Find the form of the
uniformly
powerful
test of
Ho" 0=1 v.s. H₁₂=0>1.
most
b). What is the likelihood
ratio ^ for testing
H₂: Our vs. H₁ : 0 ‡ 1?
Transcribed Image Text:4. A random sample Xn from X₁;; f(x; 0) = 0(1-x)0¹-¹1-{√xx<1}, O > O a). Find the form of the uniformly powerful test of Ho" 0=1 v.s. H₁₂=0>1. most b). What is the likelihood ratio ^ for testing H₂: Our vs. H₁ : 0 ‡ 1?
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