Sheffer Polynomials for Computing Takacs's Goodness-of-Fit Distributions
用 Sheffer 多项式计算 Takacs 拟合优度分布
How often does the empirical distribution pass over an acceptance band around the hypothetical distribution function? Sheffer polynomials are applied to derive the exact distribution of this goodness-of-fit distribution and its two-sample analogue. This method leads to new proofs and extensions of Takacs's (1971) results.