STRONG APPROXIMATIONS FOR PARTIAL SUMS OF INDEPENDENT AND DEPENDENT RANDOM VARIABLES

In this paper, we will associated with our works to state some new advance in the theory of strong approximations.There are five parts in the paper, i.e.1.Increments of a Wiener process.2.Strong approximations for partial sums of IIDRV’s.3.The increments of partial sums of independent R.V.s （non-identically distri- buted）.4.Strong approximations of mixing R V.s.5.Strong approximations for other kinds of dependent R.V.’s and functional of R.V.s.