know for sure which elementary event
will take place.
where P(T) represents the top-event occurrence probability and [q.sub.i] is for the occurrence probability of the ith elementary event
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The researcher, intent on modeling some aspect of nature stochastically, chooses an elementary event
space as best she can based on her knowledge of the phenomenon under study.
An elementary event
, or an event, is the name we give to each outcome of an experiment that can occur on a single trial.
Some terms: measurable space, probabilistic space, elementary event
, the space of elementary events
, sigma algebra, complex event, the function of probability, the probability of events, axioms of probability theory and Borel [sigma]-algebra as defined in (Sarapa, 1993).
[p.sub.n]).sup.T] reflect the probabilities [p.sub.i] ([p.sub.i] [greater than or equal to] 0) of disjoint events [w.sub.i] = 1,2,...,n so that the space [OMEGA] of elementary events
[w.sub.i] is given as a union [OMEGA] = [[omega].sub.1] [union] [[omega].sub.2] [...
In this case, will be considered elementary events
(Ei), events regarding the operation or the failure of the (i) subsystems (i) of ASG.
The sample space [OMEGA] is the set of all the elementary events
of the experiment that we consider.