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Reference.org
Quantile function
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<p>In <a href="/facts/Probability/fgYvMhwb">probability</a> and <a href="/facts/Statistics/DNPsKGYU">statistics</a>, the quantile function outputs the value of a <a href="/facts/Random_variable/TwTBXnLT">random variable</a> such that its <a href="/facts/Probability_distribution/EpsKKVRu">probability</a> is less than or equal to an input probability value. Intuitively, the <a href="/facts/Quantile/oWr1MC3s">quantile</a> function associates with a range at and below a probability input the likelihood that a random variable is realized in that range for some probability distribution. It is also called the percentile function (after the <a href="/facts/Percentile/YKD2SDsw">percentile</a>), percent-point function, inverse cumulative distribution function (after the <a href="/facts/Cumulative_distribution_function/WaKU8tp4">cumulative distribution function</a> or c.d.f.) or inverse distribution function. </p>