Question

Let x1, . . . , xn be a random sample from a population with the poisson(λ) distribution. find the mle of λ.

Answer 1

Assuming the n data values are independent draws from a Poisson distributed population with parameter λ , the MLE of λ from the sample is the sample mean, i.e.
$MLE (\lambda)=\frac{1}{n}\sum_{i=1}^nx_i$

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