Savits, Thomas H. - In: Statistics & Probability Letters 21 (1994) 3, pp. 173-179

It is well known that if X is a random variable with distribution function G, then G-1 (U) has the same distribution as X, where U is uniform on (0, 1); moreover, if G is a continuous function, then G(X) has a uniform distribution on (0, 1). In this paper we consider some related results.