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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

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variance of log of ratio of chi-square variables

Let X be a chi-square variable with two degrees of freedom. Let A and B be to arbitrary constants, with $A>B>0$. I need the variance of $Y=\log(1+AX)-\log(1+BX).$ The mean is, maybe not simple, but …
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