On relatively uniform convergence of weighted sums of B@-lattice valued random elements

Rok, strany: 2002, 433 - 442

Relatively uniform convergence of weighted sums of random elements taking values in a $σ$@-complete Banach lattice with the $σ$@-property is studied. It is shown that the usual assumptions of independent and identically distributed random elements can be replaced by weaker conditions to obtain a fruitful theory. The results obtained are new even for real valued random elements.

ISO 690:

Potocký, R. 2002. On relatively uniform convergence of weighted sums of B@-lattice valued random elements. In Mathematica Slovaca, vol. 52, no.4, pp. 433-442. 0139-9918.

APA:

Potocký, R. (2002). On relatively uniform convergence of weighted sums of B@-lattice valued random elements. Mathematica Slovaca, 52(4), 433-442. 0139-9918.