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erastovalidia [21]
3 years ago
8

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

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0
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

Numerous proves are available online.
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