Ereignismaß
Ereignismaß is a German term that translates to "event measure" in English. In probability theory and measure theory, it refers to a specific type of measure defined on a sample space, which is the set of all possible outcomes of a random experiment. The Ereignismaß assigns a numerical value, representing a probability or a measure of likelihood, to each event within that sample space.
A fundamental concept related to Ereignismaß is the sigma-algebra, often denoted by $\mathcal{F}$. The sigma-algebra is
Firstly, the measure of any event must be non-negative. Secondly, the measure of the empty set (an
The concept of Ereignismaß is crucial for the rigorous mathematical formulation of probability theory, as introduced