Derivation of Approximants to the Inverse Distribution Function of a Continuous Univariate Population from the Order Statistics of a Sample
利用样本次序统计量逼近连续单变量总体的分位数函数
Approximations to the mathematical relation between the variate value z and the unknown distribution function F of the continuous, univariate population from which a sample is available are obtained in which z is expressed as a series of polynomials in F; the coefficients are the expectations of linear combinations of the order statistics of the sample. A particular system of orthogonal polynomials and a particular system of n linearly independent linear systematic…