Let X1, X2, ..., Xm denote a random sample from the exponential density with mean 0...

 

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Let X1, X2, ..., Xm denote a random sample from the exponential density with mean 0₁ and let Y1, Yn denote an independent random sample from an exponential density with mean 02. Y2, The likelihood ratio test for testing HO: 0₁ = 0₂ versus H1: 0₁ 0₂ is: ...) m+n T = mx+ny (x)" (F)" Show that the likelihood ratio test can be expressed in terms of the statistic ΣΧ ΣΧ; + ΣΥ; Let X1, X2, ..., Xm denote a random sample from the exponential density with mean 0₁ and let Y1, Yn denote an independent random sample from an exponential density with mean 02. Y2, The likelihood ratio test for testing HO: 0₁ = 0₂ versus H1: 0₁ 0₂ is: ...) m+n T = mx+ny (x)" (F)" Show that the likelihood ratio test can be expressed in terms of the statistic ΣΧ ΣΧ; + ΣΥ;

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Answer a Let Y 12 Y3 Yn and XX X3 xm denote random Samples from the exponential distr... View the full answer