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The probability weighted characteristic function and goodness-of-fit testing

dc.contributor.authorMeintanis, Simos G.
dc.contributor.authorSwanepoel, Jan
dc.contributor.authorAllison, James
dc.contributor.researchID21262977 - Meintanis, Simos George
dc.contributor.researchID10177507 - Swanepoel, Jan Willem Hendrik
dc.contributor.researchID11985682 - Allison, James Samuel
dc.date.accessioned2016-03-01T05:59:47Z
dc.date.available2016-03-01T05:59:47Z
dc.date.issued2014
dc.description.abstractWe introduce the notion of the probability weighted characteristic function (PWCF) as a generalization of the characteristic function. Some of the properties of the PWCF and of its empirical counterpart are studied and the potential use of these quantities in goodness-of-fit testing is examined in detail. The corresponding limiting null distributions and consistency results for location-scale models are derived and finite-sample comparisons are presented. Also, the notion of the PWCF is extended to arbitrary dimensionen_US
dc.description.sponsorshipResearch Grant 11699 of the Special Account for Research Grants of the National and Kapodistrian University of Athens. National Research Foundation of South Africaen_US
dc.identifier.citationMeintanis, S.G. et al. 2014. The probability weighted characteristic function and goodness-of-fit testing. Journal of statistical planning and inference, 146:122-132. [https://doi.org/10.1016/j.jspi.2013.09.011]en_US
dc.identifier.issn0378-3758
dc.identifier.urihttp://hdl.handle.net/10394/16481
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0378375813002358
dc.identifier.urihttps://doi.org/10.1016/j.jspi.2013.09.011
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subjectGoodness-of-fit testen_US
dc.subjectcharacteristic functionen_US
dc.subjectempirical characteristic functionen_US
dc.subjectexponential distributionen_US
dc.subjectnormal distributionen_US
dc.titleThe probability weighted characteristic function and goodness-of-fit testingen_US
dc.typeArticleen_US

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