The quantile function for a probability distribution has many uses in both the theory and application of probability. Quantile functions for simple random variables may be used to obtain an important ...The quantile function for a probability distribution has many uses in both the theory and application of probability. Quantile functions for simple random variables may be used to obtain an important Poisson approximation theorem (which we do not develop in this work). The quantile function is used to derive a number of useful special forms for mathematical expectation.
