An Explicit Solution for SB, Parameters Using Four Percentile Points

The S B distributions were defined by Johnson (1949). Tables for fitting the four S B parameters by the method of moments have been provided by Johnson and Kitchen (1971a, b). Bukac (1972) showed that a choice of four symmetrical and equidistant standard normal deviates simplified the solution to allow a direct solution of a quartic equation for the S B parameters. This paper presents a method of reducing Bukac's quartic equations to a quadratic equation which leads to an explicit solution for the S B parameters.