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I am not sure to understand your question. But as far as I understand it. If you have a dataset with $Y,K,L,M$ over a set of corporates over some years, you can estimate $A$ using a log-log regression, since the following model is compatible with your Coob-Douglas specification: $$\log Y=a \log K + b \log L + c \log M + \log A.$$ It is clearly the ...