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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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Does the translation of a random variable preserve its distribution type? [closed]

This might be a very silly question, but I just wanted to make sure I have all the right steps. Suppose we have a univariate continuous random variable $X$, with some pdf and cdf ${{f}_{X}}(x)$ and …
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