Poisson Distribution Awesomeness

Ryan Whitt
6/19/15

Prepare to have your mind blown

Have you ever wanted to explore simulated Poisson Distributions in all (a little bit of) their bloody glory???

Well…. fret no more young padiwan, thanks to the dark magic of Shiny, you now FINALLY have the chance!!!!

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The problem with Poisson in R

Sure…you may be thinking…“but good sir, I can just make these distributions in base R all day, why do I need a shiny App?”

To this I must mutter a small laugh while hanging my head in disapproval.

x <- rpois(30, 3.4)
x

 [1]  2  2  4  5  4  1  3  5  6  5  2  2  7  2  3 10  1  3  5  2  3  2  6
[24]  3  8  1  2  5  2  0

Wow…I just simulated a Poisson distribution of n = 30 and \( \lambda \) of 3.4. Bored Yet? I know I am.

But…

Look what happens when we spice this bad boy up a little, give it some sex appeal in the form of a probability histogram and density plot:

plot of chunk unnamed-chunk-2

I can feel your excitement!!! But wait…there's more…

This just happened

What if I told you that though some supernatural force of computing you could have the power to control n and \( \lambda \) to watch this plot morph majestically right in front of your eyes.

While a simple hyperlink to this power is not enough to convey the sense of brevity, this is an R-studio presentation so it will have to suffice. Prepare yourself for all of the above, plus a skewness and kurtosis measure thrown in for good measure because I'm just that kind of a guy. What are you waiting for??? click that bad boy

https://rwhittshiny.shinyapps.io/Poisson