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

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23-03-2018
Mathematics

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

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mathmate mathmate · Answer 1 · 2018-03-23T12:48:14+01:00

mathmate mathmate

23-03-2018

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.
[tex]MLE (\lambda)=\frac{1}{n}\sum_{i=1}^nx_i[/tex]

Numerous proves are available online.

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