How do I estimate the standart deviation for the mean average of an poisson-distribution ?(adsbygoogle = window.adsbygoogle || []).push({});

The mean average was estimated with the maximum-likelihood method by graphing the likelihood in dependence of the mean average, then just reading off the value for which the likelihood became maximal.

Up to this point I had not problem.

But I also have to determine the standard deviation for my estimation of the mean average.

And that is where I run into problems.

I'm told that "by an deviation from (...) the mean average of the standart deviation the -2*ln(L) function increases by one unit compared with the minimum".

If I understand that correctly:

Minimum of the log-likelihood is 100 at an mean average of a.

At an mean average of b my log-likelihood has the value 101(99).

So my standart deviation is a-b.

Is this interpretation correct ?

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# Homework Help: Maximum Likelihood

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