术语“强大数定律”的详细信息

英译术语:

strong law of large numbers

汉语语境:

对形如 knj=1anjdj X的加权和，其中 { dn X，n≥ 1}为 B值鞅差序列，{ anj}为实值常数阵列，在{‖ dj X‖ p关于 { | anj| p }一致可积的条件下建立鞅差序列加权和的收敛性与 Banach空间 p光滑性的关系，并给出p光滑 Banach空间中鞅差序列加权和的强大数定律。

英语语境:

For weighted sums of the form k nj=1a nj d jX, where{a nj, 1≤j≤k n↑∞} is a real constants array and {d nX, n≥1} is martingale difference series, we establish the relationship between the convergence and the p|smoothable Banach space under the condition of {a nj }|uniform integrability, and we get the strong law of large numbers for weighted sums of martigale difference series.