ON THE MOMENTS OF ORDER STATISTICS IN SAMPLES FROM NORMAL POPULATIONS
The purpose of this paper is to show the geometrical significance of the maments of order statistic derived from normal populations. It appears that these, as well as the moment-generating function of the sqare of any order statistic, are intimately related to the contents of the members of a class of hyperspherical simplices. Further geometrical interpretations, together with the extension of the present results to bivariate moments and other properties, will be provided in…