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Results tagged with generating-functions
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user 49603
A generating function is a way of encoding an infinite sequence of numbers by treating them as the coefficients of a formal power series. Tag questions involving generating functions in this.
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Probability generating function zero implies random variable is infinite
I've looked into it some more and this is an example of a recursive distributional equation. There is a paper by Aldous and Bandyopadhyay that studies these in depth.
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Probability generating function zero implies random variable is infinite
Let $V$ be a random variable supported on the nonnegative integers (including $\infty$) and $f(x) = \mathbf E x^V$ be the probability generating function. In our model $V$ is the number of visits to t …
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