A suggested computational procedure to Peizer and Pratt's approximation to the incomplete beta and gamma ratios
In this paper we compute Peizer and Pratt's approximation to the incomplete beta and gamma ratios. Keeping the conditions required for the approximation satisfied, is not enough to obtain the required accurate results. The allowed error in the two approximations is numerically violated in many cases. It was numerically found that the incomplete beta ratio is more violated compared with the incomplete gamma ratio. A suggested computational procedure that leads to get highly accurate results is recommended to be used.
incomplete beta ratio incomplete gamma ratio