Dear all,

I've a question regarding a goodness-of-fit to a Poisson distribution. I
have the following observations from a buying process which I expect to be
Poisson.distributed:

    0    1    2
182  15    3

The mean and my estimator for lambda in the poisson distribution therefore
is 0.105 with the following expected frequencies:
             0              1            >1
180.0649 18.90681 1.028281

Now I would like to run a chi-squared goodness-of-fit test. But for this
test the expected frequencies should be >= 5, so I would need to join
classes "1" and ">1". If I have two classes and one estimated parameter, the
degrees of freedom should be 2 - 1 - 1 = 0 for the test which leads me to
the assumption that this is not a good idea and that I'm missing something.

Could someone kindly give me a hint, how I could test for a
poisson-distribution in this case?

Thanks in advance and best regards,

Daniel Hoppe


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