Let X1, X2, ... , Xn be a random sample from an exponential distribution with mean θ.

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Let X1, X2, ... , Xn be a random sample from an exponential distribution with mean θ. Show that the likelihood ratio test of H0: θ = θ0 against H1: θ ‰  θ0 has a critical region of the form
E-1xi < c1 or Ef-1ti z c2.

How would you modify this test so that chi-square tables can be used easily?

Distribution
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Probability and Statistical Inference

ISBN: 978-0321923271

9th edition

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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