Question: A latent variable Y is generated by where X is scalar. Assume 0 0 and 1 0. The parameters are ,0,1. Find

A latent variable Y ¤ is generated by

Y* = Bo+XB1+e e|X ~ N (0,0 (X)) (X) = Yo +

where X is scalar. Assume °0 È 0 and °1 È 0. The parameters are ¯,°0,°1. Find the log-likelihood function for the conditional distribution of Y given X.

Y* = Bo+XB1+e e|X ~ N (0,0 (X)) (X) = Yo + Xy Y = max(Y*,0).

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