Given a sample (x_{1}, ldots, x_{n}) from a (mathrm{N}left(mu, sigma^{2} ight)) distribution, determine the method of moments
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Given a sample \(x_{1}, \ldots, x_{n}\) from a \(\mathrm{N}\left(\mu, \sigma^{2}\right)\) distribution, determine the method of moments estimate and the MLE of \(\sigma^{2}\).
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