et X₁, X2,..., Xn be a random sample from a distribution with pdf x-1, 0 0. Show the likelihood has statistic II X₁. Use this to determine the UMP test for Ho: 0 = 0' : 0 <0', for fixed 0'>0. Guniformly most powerful test

MATLAB: An Introduction with Applications
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8.2.11. Let X1, X2,..., Xn be a random sample from a distribution with pdf
f(x; 0) 0-1, 0<x< 1, zero elsewhere, where > 0. Show the likelihood has
mlr in the statistic II1X₁. Use this to determine the UMP test for Ho : 0 = 0'
against H₁ : 0 <0', for fixed 0' > 0.
Guniformly most powerful test
Transcribed Image Text:- 8.2.11. Let X1, X2,..., Xn be a random sample from a distribution with pdf f(x; 0) 0-1, 0<x< 1, zero elsewhere, where > 0. Show the likelihood has mlr in the statistic II1X₁. Use this to determine the UMP test for Ho : 0 = 0' against H₁ : 0 <0', for fixed 0' > 0. Guniformly most powerful test
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