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Context-Aware Computing by De Gruyter

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3.4.2.3Probabilities of Correlated Context Events

Table 3.15 illustrates the influence of correlation between two basic context events on the probability Prob(e1e2).

For conjunctions of literals with basic context events in the following inclusion-exclusion formula [50]:

Prob( E 1 E 2 E m ) = i=1 m Prob( E i ) i<j Prob( E i E j E k ) i<j<r<s Prob( E i E j E r E s )++ ( 1 ) ( m+1 ) Prob( E 1 E 2 E m )

The above correlations can be taken into account by comparing each event with all other events in the same conjunction. Let e1 and e2 be two basic events, and let E be either a basic or complex event expression, the implications of correlation ...

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