A Normal Approximation for Binomial, F , Beta, and other Common, Related Tail Probabilities, I
二项、F、贝塔及其他相关常见分布尾概率的正态近似(一)
This paper concerns a new Normal approximation to the beta distribution and its relatives, in particular, the binomial, Pascal, negative binomial, F, t, Poisson, gamma, and chi square distributions. The approximate Normal deviates are expressible in terms of algebraic functions and logarithms, but for desk calculation it is preferable in most cases to use an equivalent expression in terms of a function specially tabulated here. Graphs of the error are provided. They show…