Estimating a parameter vector of a maximum likelihood function

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Dead Community,
I am an undergraduate economics student and I am facing following problem.
I want to estimate a parameter vector which contains alpha, epsilon, mu and delta. I got data about the variables B, S and T. The parameters are supposed to maximize the likelihood function of the formula in the picture. Could anybody please give me a hint how to code this problem? So far I only coded OLS estimations...
Best regards

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Jeff Miller
Jeff Miller 2018-11-12
One way to proceed is to write a function which accepts a set of values for alpha, epsilon, mu, and delta, and returns -log(L) under those parameter values. Then you use fminsearch to minimize that function. fminsearch will try different values of the parameter values and do the best it can to minimize -log(L), which maximizes L. There are no guarantees of finding the best parameter values this way, but it is a common approach when it is too hard to maximize L mathematically.

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