# Complete convergence for weighted sums of arrays of random elements

• Sung, Soo-Hak (Department of Applied Mathematics Pai Chai University )
• Published : 1995.11.01
• 43 9

#### Abstract

Let $(B, \left\$\mid$\right\$\mid$)$ be a real separable Banach space. Let $(\Omega, F, P)$ denote a probability space. A random elements in B is a function from $\Omega$ into B which is $F$-measurable with respect to the Borel $\sigma$-field $B$(B) in B.

#### Keywords

complete convergence;random elements;Banach space