Key points are not available for this paper at this time.
Under natural conditions on a class F of functions on a probability space, near optimal bounds are given for the probabilities P (₅|₈ ₍ f (Xᵢ) - nE (f) | M n). The method is a variation of this author's method to study the tail probability of the supremum of a Gaussian process.
Michel Talagrand (Sat,) studied this question.