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What (who) is quantile function - definition

Quantile function

In probability and statistics, the quantile function, associated with a probability distribution of a random variable, specifies the value of the random variable such that the probability of the variable being less than or equal to that value equals the given probability. Intuitively, the quantile 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.

https://en.wikipedia.org/wiki/Quantile_function

Function (mathematics)

$A binary operation is a typical example of a bivariate function which assigns to each pair <math>(x, y)</math> the result <math>x\circ y</math>.$

ASSOCIATION OF A SINGLE OUTPUT TO EACH INPUT

Mathematical Function; Mathematical function; Function specification (mathematics); Mathematical functions; Empty function; Function (math); Ambiguous function; Function (set theory); Function (Mathematics); Functions (mathematics); Domain and range; Functional relationship; G(x); H(x); Function notation; Output (mathematics); Ƒ(x); Overriding (mathematics); Overriding union; F of x; Function of x; Bivariate function; Functional notation; Function of several variables; Y=f(x); ⁡; Draft:The Repeating Fractional Function; Image (set theory); Mutivariate function; Draft:Specifying a function; Function (maths); Functions (math); Functions (maths); F(x); Empty map; Function evaluation

In mathematics, a function from a set to a set assigns to each element of exactly one element of .; the words map, mapping, transformation, correspondence, and operator are often used synonymously.

https://en.wikipedia.org/wiki/Function_(mathematics)

Transfer function

FUNCTION SPECIFYING THE BEHAVIOR OF A COMPONENT IN AN ELECTRONIC OR CONTROL SYSTEM

Transfer-function; Transfer Function; Natural response; Pulse-transfer function; Network function; Transfer curve; Transfer characteristic; System function

In engineering, a transfer function (also known as system functionBernd Girod, Rudolf Rabenstein, Alexander Stenger, Signals and systems, 2nd ed., Wiley, 2001, p.

https://en.wikipedia.org/wiki/Transfer_function