Series approximations for moments of order statistics using \texttt{MAPLE}. (Q5958584)

In this paper, we present a series of \texttt{MAPLE} procedures that will approximate the means, variances, and covariances of order statistics from any continuous population using series approximations in the form of \textit{F. N. David} and \textit{N. L. Johnson}'s [Biometrika 41, 228--240 (1954; Zbl 0055.13004)] approximation. These procedures will allow one to improve upon the accuracy of David and Johnson's approximation by extending the series to include higher order terms.