Key points are not available for this paper at this time.
The following is perhaps the simplest non-trivial example of the type of problem to be considered in this paper. On the real number axis let N points \ (xᵢ (i = 1, 2, , N) \) be chosen independently and by the same random process, so that the probability that xi shall lie to the left of any point x is a given function of x,
Herbert Robbins (Sat,) studied this question.