Poisson distribution having variation coefficient = .5?

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  • #1
Addez123
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TL;DR Summary
How is it possible for a variation coefficient of poisson distribution to be anything other than 1?
Variation coefficient is calculated by
1608646163932.png

And the very definition of poisson distribution is that
$$\mu = \sigma $$

So how would any other value but 1 be a possible?
 

Answers and Replies

  • #2
gleem
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μ = σ2
 
  • #3
Addez123
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μ = σ2
Then its no longer a poisson distribution because the very definition of a poisson distribution is that
μ = σ, not μ = σ2
 
  • #4
gleem
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For a Poisson distribution, the mean is equal to the variance. Check your source.
 
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  • #5
Addez123
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I see what I did wrong. I mixed up variance and standard deviation.
 

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