Show that the REML estimate with positivity constraint satisfies (1+b hat{theta}=) (max (F, 1)). What is the

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Show that the REML estimate with positivity constraint satisfies \(1+b \hat{\theta}=\) \(\max (F, 1)\). What is the REML estimate for the second component? Express the constrained REML likelihood-ratio statistic as a function of \(F\), and compute the atom at the origin.

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