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add bijection
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notes/04_density-transform/2_cdf.tex

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@@ -47,7 +47,7 @@ \subsection{The Inverse CDF technique}
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F_X(x) = P(X \leq x) = \int_{-\infty}^{x} p(y)\,dy
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\end{equation}
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The cdf is a one-to-one mapping of the domain of the cdf to the interval $[0,1]$.
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The cdf is a one-to-one (bijective) mapping of the domain of the cdf to the interval $[0,1]$.
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If $Z$ is a uniform random variable, then $X=F_X^{-1}(Z)$ has the distribution $F$.
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\item Determine the inverse transformation $F^{-1}$.

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