Starke Gesetze für gewichtete Summen von Zufallsvariablen und Zufallsfeldern

Abstract

The present work deals with strong laws of large numbers for weighted sums of random variables and random fields. In the first part, we work with independent, identically distributed, weighted random variables and a special kind of dependent random variables, so called negatively associated random variables. In the second part, we take a look at random fields with independent, identically distributed, weighted random variables and with a special kind of dependent random variables, so called M-dependent and again weighted random variables.