For an arbitrary subselection of the identities defining the stochastic independence (of several events), there exist random events, with prescribed probabilities, satisfying only the identities from the subselection. A similar statement holds if the events are required to be exchangeable.
✦ LIBER ✦
On the Conditional Independence of Random Events
✍ Scribed by Döhler, R.
- Book ID
- 118226761
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1981
- Tongue
- English
- Weight
- 706 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0040-585X
- DOI
- 10.1137/1125080
No coin nor oath required. For personal study only.
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👁 2 views
Why do some quite complex events appear to be built up from seemingly independent elementary events? It is, of course, fortunate that this is so, for otherwise, it would be hard to analyze the world around us. But the technical question remains. It is here argued that a sufficient condition is that