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2008 Dec 26
2
Computational Probability
...oduce some explicit probability calculations performed in APPL (a Maple extension for computational probability). For instance, in APPL, to compute the probability that the sum of 10 iid uniform variables [0,1] will be between 4 and 6, (i..e Pr( 4 < \sum_{i=1}^{10}X_i < 6)), I can type: X := UniformRV(0, 1); Y := ConvolutionIID(X, 10); CDF(Y,6) - CDF(Y,4); which gives the required probability .7222. Is there any way to perform these type of calcuations in R in a general way? I realise that a lot of the machinery behind these computations comes from Maple's symbolic engine, but are there any...