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A cumulative distribution function is a function that returns probabilities of $X$ being smaller than or equal to some value $x$:

$$Pr(≤)=()$$

What would you call a distribution function that returns probabilities $X$ being greater than or equal to some value $x$, i.e.,

$$Pr(≥)=()$$

?

jabbawocky9
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    "Opposite" could mean many things -- e.g. from just your title I was guessing you might have been after the functional inverse of the cdf. The complement of a cdf, $F_X(x) = P(X\leq x)$ is the survivor function (a.k.a. survival function), $S(x) = 1-F_X(x) = P(X>x)$. If you include the equality in both events, they're not complementary, though. https://en.wikipedia.org/wiki/Survival_function#Definition . You might call $P(X\geq x)$ an upper tail probability, but that term is also used for $S(x)$. – Glen_b Oct 15 '22 at 01:32
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    The functional inverse of a CDF i.e. $F^{-1}(p)$ (your title not your text) is the quantile function – Henry Oct 15 '22 at 01:51

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