Suppose that we have two independent random samples X1, , Xn are exponential( Icirc cedil ), and Y1, , Ym are exponential( Icirc frac14 ) (a) Find the LRT of H0 Icirc cedil Icirc frac14 versus H1 0 Icirc frac14 (b) Show that the test in part (a) can be based on the statistic (c) Find the distribution of T when Ho is true Y 3D

Question: Suppose that we have two independent random samples: X1,..., Xn are exponential(Î¸), and Y1,..., Ym are exponential(Î¼). (a) Find the LRT of H0: Î¸ =

Suppose that we have two independent random samples: X1,..., Xn are exponential(Î¸), and Y1,..., Ym are exponential(Î¼).
(a) Find the LRT of H0: Î¸ = Î¼ versus H1: 0 ‰ Î¼.
(b) Show that the test in part (a) can be based on the statistic

. . + Y %3D

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