On the statistical Analysis of Feigenbaum Constants

Simple item page
dc.citation.epage758en_US
dc.citation.issueNumber7en_US
dc.citation.spage756en_US
dc.citation.volumeNumber343en_US
dc.contributor.authorSezgin, F.en_US
dc.contributor.authorSezgin, T. M.en_US
dc.date.accessioned2015-07-28T11:57:56Z
dc.date.available2015-07-28T11:57:56Z
dc.date.issued2006-11en_US
dc.departmentBusiness Information Managementen_US
dc.description.abstractWe present statistical analysis of blocks in the binary expansions of Feigenbaum constants a and d for the logistic map. The analysis is carried out on both 1016 and 3400 bit expansions. A w2 test is applied for lumping data and a serial test is applied on gliding data. Contrary to a previous research by Karamanos and Kotsireas, our test results did not indicate any evidence to reject randomness of these constants. Additional 25 randomness tests also support the conjecture of randomness of these constants having transcendental character.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T11:57:56Z (GMT). No. of bitstreams: 1 10.1016-j.jfranklin.2006.10.004.pdf: 103473 bytes, checksum: a2509a630daae5f51cc174fbeea4764f (MD5)en
dc.identifier.doi10.1016/j.jfranklin.2006.10.004en_US
dc.identifier.issn0016-0032
dc.identifier.urihttp://hdl.handle.net/11693/11503
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.jfranklin.2006.10.004en_US
dc.source.titleJournal of the Franklin Instituteen_US
dc.subjectFeigenbaum Constantsen_US
dc.subjectNormal Numbersen_US
dc.subjectRandom Number Generationen_US
dc.subjectStatistical Analysisen_US
dc.titleOn the statistical Analysis of Feigenbaum Constantsen_US
dc.typeArticleen_US

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
10.1016-j.jfranklin.2006.10.004.pdf
Size:
101.05 KB
Format:
Adobe Portable Document Format
Description:
Full printable version
Download

Collections

Business Information Management - Closed