On the construction of independence counterexamples

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dc.contributor.authorJohnson, Bruce R.
dc.contributor.authorTilly, Benjamin J.
dc.date.accessioned2010-04-29T19:44:19Z
dc.date.available2010-04-29T19:44:19Z
dc.date.copyright1993en
dc.date.issued2010-04-29T19:44:19Z
dc.description.abstractA simple method of modifying probability to create independence counterexamples is given. This method can be used to construct counterexamples for finite collections of events and for infinite sequences of events. It is shown how to construct examples of countable collections of events where all equations in the (countable) family of "product rules" that define independence of the events that are satisfied except for one, or, more generally, except for an arbitrarily specified subfamily.en
dc.identifier.urihttp://hdl.handle.net/1828/2673
dc.language.isoenen
dc.relation.ispartofseriesDMS-632-IRen
dc.subjectcounterexamples
dc.subjectdependence
dc.subjectindependence
dc.subjectrandom events
dc.subjectteaching of probability
dc.subjectteaching of mathematical statistics
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleOn the construction of independence counterexamplesen
dc.typeTechnical Reporten

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