This expository paper presents known results on distribution functions g(x) of the sequence of blocks
- continuity of g(x);
- connectivity of G(Xn);
- singleton of G(Xn);
- one-step g(x);
- uniform distribution of Xn, n = 1, 2, . . . ;
- lower and upper bounds of g(x);
- applications to bounds of
- many examples, e.g.,
The present results have been published by 25 papers of several authors between 2001-2013.