Transforming a % variation of the mean from Poisson to σ

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Alkass
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Hi!

I do have this problem - Consider that for a set of values, I do have a Poisson distribution with mean value <m> - Now, I need to gather another set of dataset, which I should vary the mean value by 5% - My question is, how can I translate each one of these new values to sigma deviations from the principal dataset , ie how to make a connection between the "varied" value and sigma deviations ?

Thanks

Alex
 
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Hey Alkass and welcome to the forums.

Can you show what you mean mathematically (in terms of random variables, probabilities, expectations, and variances)?