Approximation of Pearson Type IV Tail Probabilities

Abstract

Simple approximating functions for tail probabilities of the Pearson Type IV distribution are obtained by using the B n transformations of Gray, Atchison, and McWilliams [2] and by truncating the continued fraction expansion given by Shenton and Carpenter [6]. The behavior of these approximations is then investigated for various values of the parameters and levels of the tail probabilities.