Design a monte carlo experiment

Question

Response to the following problem:

Write an R code producing the likelihood (equ.) for a normal sample. Derive the numerical maximum likelihood estimator using optimise. Design a Monte Carlo experiment that studies the variation of the EM solutions around this numerical optimum.

                                    m
L(θ|y) = [1- F(a - θ)]^n-m II f(y_i-θ)
                                    i=1

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