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dc.date.accessioned2013-03-12T08:16:49Z
dc.date.available2013-03-12T08:16:49Z
dc.date.issued2005en_US
dc.date.submitted2009-11-26en_US
dc.identifier.urihttp://hdl.handle.net/10852/10594
dc.description.abstractThe paper introduces the pyramid probability distribution through its density in two dimensions, and investigates its properties and those of its copula. The research focuses on ways in which the pyramid distribution demonstrates dependence between its variables, primarily as revealed by its copula and related functions. The pyramid distribution bears an intimate relationship to the normal distribution, a relationship revealed and investigated. The pyramid density is built from the normal distribution function, making the pyramid the normal distribution once removed. Having normal margins, the pyramid returns to its foundation. The paper presents a general theory of this distribution, some formal, some discursive, including the presentation of a one-parameter family.eng
dc.language.isoengen_US
dc.publisherMatematisk Institutt, Universitetet i Oslo
dc.relation.ispartofPreprint series. Pure mathematics http://urn.nb.no/URN:NBN:no-8076en_US
dc.relation.urihttp://urn.nb.no/URN:NBN:no-8076
dc.rights© The Author(s) (2005). This material is protected by copyright law. Without explicit authorisation, reproduction is only allowed in so far as it is permitted by law or by agreement with a collecting society.
dc.titleTHE PYRAMID DISTRIBUTIONen_US
dc.typeResearch reporten_US
dc.date.updated2009-11-26en_US
dc.rights.holderCopyright 2005 The Author(s)
dc.creator.authorKettler, Paul C.en_US
dc.subject.nsiVDP::410en_US
dc.identifier.urnURN:NBN:no-23642en_US
dc.type.documentForskningsrapporten_US
dc.identifier.duo97365en_US
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/10594/1/pm39-05.pdf


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