$Y=x+Z_1{u}_1+Z_2{u}_2+lon$

where $u_{1}N(0,{}_1^{2}I),u_{2}N(0,{}_2^{2}I),lonN(0,{}^{2}I),$ and $u_1,u_2,lon$ are independent.

Specify the updates in the EM algorithm for computing MLE's in the variance

components model $(0\mathrm{.}2).$ You may treat the random effects as the latent variables.