# Tagged Questions

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### Truncated Poisson Asymptotics

This is a homework problem. I have figured out part (a) but I need help with part (b). I include part (a) for completion. Suppose $X_1,\ldots,X_n$ are iid Poisson random variables. Furthermore, let ...
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### Is a bounded normal distribution the same as a poisson distribution (for continuous variables)? [duplicate]

Lets say I have a normal distribution of estimates (e) for a random variable (v). At some point an event occurs where the value of the variable becomes known (v). Now I want to find a new distribution ...
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### Why is the probability zero for any given value of a normal distribution?

I noticed that in the Normal distribution, the probability $P(x=c)$ equals zero, while for the Poisson distribution, it will not equal zero when $c$ is a non-negative integer. My question is: Does ...
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### 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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### 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 ...
### 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 ...
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 ...