On the construction of independence counterexamples

Simple item page
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.subjectcounterexamplesen
dc.subjectdependenceen
dc.subjectindependenceen
dc.subjectrandom eventsen
dc.subjectteaching of probabilityen
dc.subjectteaching of mathematical statisticsen
dc.titleOn the construction of independence counterexamplesen
dc.typeTechnical Reporten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
DMS 632.pdf
Size:
300.68 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.84 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Technical Reports (Mathematics and Statistics)
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.