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# MME of Poisson Distribution

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1. Could someone please show me how to derive the MME of the Poisson Distribution. I found this on the internet but don't understand it! All help appreciated.
2. (Original post by JKITFC)
Could someone please show me how to derive the MME of the Poisson Distribution. I found this on the internet but don't understand it! All help appreciated.
You've pretty much got it there...method of moments estimators for a parameter are obtained by equating the expectation of with the jth sample moment .

If you have k unknown parameters to estimate, you do k of these equations and get a set of simultaneous equations to solve. For something like the Poisson, where you only have one parameter, you can stop at the first moment, if you like, and you get , or youi can carry on and look at the second moment. If you do carry on, in the case of the Poisson you will get a different estinator for .

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