Skellam P.D.F. for West Bromwich Albion & Fulham F.C.
Alright, so above is a Skellam distribution. It's like a Gaussian distribution, except instead of being the probability for a single random variable X, it's the probability of the difference of two Poisson variables, X-Y. All data from WorldFootball.net
Poisson variables are ones that occur at random intervals, but with an overall time average, like nuclear radiation. This average is the mean of the distribution and completely determines the probability distribution.
So say you had some radioactive materials, and they're hooked up to a balance such that if the second material becomes 5 grams lighter than the first material a button will be pressed that ignites a nuclear bomb fueled by both materials. Damn. Stakes are high. Do you have anything to worry about?
Skellam distribution.
Put in the half-lives (means) for the materials and check out the probability for A-B > 5. If I had more time and skill I'd put a widget up here specifically so you could check these kinds of every day things. As it stands, we'll just use this for sports betting and odds-making.
In this case the random event is a point being scored. The 'materials' are the opposing teams, the 'half-lives' are the average goals per unit each team scores, and the 'nuclear explosion' is your bank account blowing up.
Hit me up if you're in school now and can get *this* article. I don't want to have to park at or bus to the University.
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Medium Beneath Media. Bang Around. | |
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Just click through the crisis.
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