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{title2=$Y=g(X)$}

= Transformations of a random variable
{synonym}

A <measurable function> $g$ applied to a <random variable> $X$ defines a new <random variable> $Y=g(X)$. Its <probability distribution> is the <pushforward measure> under $g$.

Transformation of a random variable

Past exam of the probability course of the University of Oxford / 2023 / 1 / d / i / Solution

codex/transformations-of-a-random-variable

Transformation of a random variable ( $Y = g (X)$ )

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Transformation of a random variable (Y=g(X))