0 Preliminary knowledge
0.1 Probability spaces, random variables and random elements
0.2 Expectation and conditional expectation
0.3 Martingale
0.4 Slowly raring function
1 C,R.s of R-valued m.d.s
1.1 Maximal inequalities for martingales
1.2 C.R.s for arrays of m.d.s
1.3 C.R.s for triangular arrays of m.d.s
1.4 C.R.s for the maxima of any r.v.s
1.5 C.R.s for martingales
1.6 C.R.s for specially weighted sums of m.d.s
1.7 Extention to supermartingales
2 C.R.s of B-valued m.d.s
2.1 Maximal inequalities for martingales
2.2 C.R.s for arrays of m.d.s
2.3 C.R.s for triangular arrays of m.d.s
2.4 C.R.s for the maxima of any r.e.s
2.5 C.R.s for martingales
2.6 C.R.s for specially weighted sums of m.d.s
2.7 C.R.s for generally weighted sums of m.d.s
2.7.1 Law of large numbers for weighted sums of m.d.s
2.7.2 Complete convergence of weighted sums of m.d.s
3 C.R.s for randomly weighted sums of m.d.s
3.1 Main results
3.2 Preliminaries
3.3 Proofs of the main results
Bibliography
Index