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How can I use the Newton-Raphson method to derive and describe an iterative process designed to estimate the MLE of ^2 from the Rayleigh distribution,

How can I use the Newton-Raphson method to derive and describe an iterative process designed to estimate the MLE of ^2 from the Rayleigh distribution, and importantly how can I adapt the Newton-Raphson iterative algorithm above to incorporate the chord approximation to numerically estimate the maximum likelihood of ^2 .

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