Consider any experiment whose result is unknown, for example throwing a coin, the daily number of customers in a supermarket or the duration of a phone call in a service office. Each of these experiments has a more or less wide variety of possible results. The set of all these results is called result space and denoted Ω. In the examples above we have Ω1 = {head; number}, Ω2 = N and Ω3 = (0;∞). We cannot forecast for certain, which result the experiment will have, but we can tell something about the probability of certain results ω ∈ Ω. Often we are not interested in single results but in subsets A ⊆ Ω containing several results.
Literature
- H. Bauer, Maß- und Integrationstheorie (deGruyter 1992)
- N. Schmitz, Vorlesungen über Wahrscheinlichkeitstheorie (Teubner 1996)
Project work for mathematical writing
, University of York, 2000