Complete convergence for weighted sums of arrays of random elements

  • Sung, Soo-Hak
  • Published : 1995.11.01


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.


complete convergence;random elements;Banach space