Tagged Questions
2
votes
2answers
94 views
Anscombe transform & Anderson-Darling test failure
I created a synthetic constant image (all the pixel values are the same) on which I generated a Poisson distribution using a Poisson noise generator, with mean values set to input pixel values.
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6
votes
2answers
1k views
How is Poisson distribution different to normal distribution?
I have generated a vector which has a Poisson distribution, as follows:
x = rpois(1000,10)
If I make a histogram using ...
3
votes
1answer
159 views
What is distribution of $Z = X + Y$ where $X$ is Poisson distributed and $Y$ is normally distributed?
How does one calculate the distribution of a random variable $Z = X + Y$, where $X$ is Poisson distributed and $Y$ is normally distributed and independent of $X$? How to do that in general case? Do ...
6
votes
1answer
473 views
Anscombe transform and normal approximation
The Anscombe transform is $a(x) = 2\sqrt{x+3/8}$.
Can anyone show me how to prove that an Anscombe-transformed version $Y = a(X)$ of a Poisson distributed random variable $X$ is approximately normal ...
