Simplex Algorithm Gauss file(s) max_simplex.g Matlab file(s) max_simplex.m Suppose that the observations yt = {3.5, 1.0, 1.5} are iid drawings from the exponential distribution f(y; θ) = 1 θ exp h − y θ i , θ > 0 .

(a) Based on the negative of the log-likelihood function for this exponential distribution, compute the maximum likelihood estimator, θb, using the starting vertices θ1 = 1 and θ2 = 3.

(b) Which move would the first iteration of the simplex algorithm choose?