Let be one of the likelihood functions described in the previous subsections. Let . Finding such that is maximized is equivalent to finding the solution to the likelihood equations With as the initial ...

The exponential function \(e^x\) is input as exp(x). The natural logarithm \(\ln(x)\) (i.e. base e) is input as log(x) or ln(x). If you prefer a pure Python implementation of Newton's Method here is ...