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convolution3d
2008 Dec 26
2
Computational Probability
...obability 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 R extensions for these kin...