Let X₁, X₂, ..., X denote a random sample with size n from the ean 0₁, and Y₁, Y₂, ..., Yn denote a random sample with size m from the ean 1. Find the likelihood ratio test for testing H₁:0₁ = 1 against

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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2.4.
Let X₁, X₂, ..., Xn denote a random sample with size n from the
exponential density with mean 0₁, and Y₁, Y₂, ..., Yn denote a random sample with size m from the
exponential density with mean 1. Find the likelihood ratio test for testing Ho: 0₁ = 1 against
Ha: 0₁1.
Transcribed Image Text:2.4. Let X₁, X₂, ..., Xn denote a random sample with size n from the exponential density with mean 0₁, and Y₁, Y₂, ..., Yn denote a random sample with size m from the exponential density with mean 1. Find the likelihood ratio test for testing Ho: 0₁ = 1 against Ha: 0₁1.
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