08-23-2007, 05:48 AM
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#8 (permalink)
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Moderator
Join Date: 08-28-05
Location: Forest Hills, NY, Home of the Blitzkrieg Bop
Posts: 4,901
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New function added: {P2L(range of win probabilities)}: (array function) Returns an array of likelihoods such that the ith element of the output array (i ∈ [0, 1, 2, ..., n], where n = the number of probabilities in the input range) corresponds to to the likelihood of exactly n-i wins and i losses given the n event win probabilities in the input range. So if cells (A1, A2, A3) = (75%, 70%, 65%), and cells B1, B2, B3, and B4 were set to the array formula {=P2L(A1:A3)}, cell B1 would correspond to the probability of 3 wins and 0 losses (~ 34.13%), cell B the probability of 2 wins and 1 loss (~44.38%), B3 the probability of 1 win and 2 losses (~18.88%), and B4 the probability of 0 wins and 3 losses (2.63%). Note that this function may be rather slow to calculate for large input sets. This function may be useful for (among other things) estimating season win total likelihoods, and in value-at-risk calculation.
See the first post in in this thread for complete function list and download link.
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