Strong laws for blockwise martingale difference arrays in Banach spaces
β Scribed by Nguyen Van Huan; Nguyen Van Quang; A. Volodin
- Book ID
- 111473345
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2010
- Tongue
- English
- Weight
- 580 KB
- Volume
- 31
- Category
- Article
- ISSN
- 1995-0802
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For weighted sums of the form Sn = Ejknl anj (Vnj--Cnj) where {anj, 1 <<.j<~kn < oo, n~> 1} are constants, {V~j, 1 <~j<~k~, n>~l} are random elements in a real separable martingale type p Banach space, and {cnj, 1 <<.j<~kn, n>>-1} are suitable conditional expectations, a mean convergence theorem and
For weighted randomly indexed sums of the form Nn j = 1 anj(Vnj -cnj) where {anj; jΒΏ1; nΒΏ1} are constants, {Vnj; jΒΏ1; nΒΏ1} are random elements in a real separable martingale type p Banach space, {Nn; nΒΏ1} are positive integer-valued random variables, and {cnj; jΒΏ1; nΒΏ1} are suitable conditional expe