Question: An alternative form of estimation is accomplished through the method of moments. The method involves equating the population mean and variance to the corresponding sample

An alternative form of estimation is accomplished through the method of moments. The method involves equating the population mean and variance to the corresponding sample mean x and sample variance s² and solving for the parameter, the result being the moment estimators. In the case of a single parameter, only the means are used. Give an argument that in the case of the Poisson distribution the maximum likelihood estimator and moment estimators are the same.

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