Problem of Selecting a Given Number of Representative Points in a Normal Population and a Generalized Mills' Ratio.

摘要

In a known normal population, one desires to select a given number of representative points that retain as much information about the population as possible. To obtain these points, the solution of two systems of equations is required. Some properties of these equations are discussed. As natural consequence a generalized Mills' ratio is defined. Some basic properties of the generalized Mills' ratio for studying the above equation are listed. A computational procedure is given to obtain these points and tables of them and corresponding probabilities are given for m < or = 31, where m is the number of points. (Author)