Asymmetric generalizations of symmetric univariate probability distributions obtained through quantile splicing

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dc.contributor.author Mac’Oduol, B.V. (Brenda)
dc.contributor.author Van Staden, Paul Jacobus
dc.contributor.author King, Robert A.R.
dc.date.accessioned 2019-12-03T06:36:50Z
dc.date.issued 2020
dc.description.abstract Balakrishnan et al. proposed a two-piece skew logistic distribution by making use of the cumulative distribution function (CDF) of half distributions as the building block, to give rise to an asymmetric family of two-piece distributions, through the inclusion of a single shape parameter. This paper proposes the construction of asymmetric families of two-piece distributions by making use of quantile functions of symmetric distributions as building blocks. This proposition will enable the derivation of a general formula for the L-moments of two-piece distributions. Examples will be presented, where the logistic, normal, Student’s t(2) and hyperbolic secant distributions are considered. en_ZA
dc.description.department Statistics en_ZA
dc.description.embargo 2020-04-26
dc.description.librarian hj2019 en_ZA
dc.description.uri http://www.tandfonline.com/loi/lsta20 en_ZA
dc.identifier.citation Brenda V. Mac’Oduol, Paul J. van Staden & Robert A. R. King (2020): Asymmetric generalizations of symmetric univariate probability distributions obtained through quantile splicing, Communications in Statistics - Theory and Methods 49(18): 4413-4429, DOI: 10.1080/03610926.2019.1601219. en_ZA
dc.identifier.issn 0361-0926 (print)
dc.identifier.issn 1532-415X (online)
dc.identifier.other 10.1080/03610926.2019.1601219
dc.identifier.uri http://hdl.handle.net/2263/72469
dc.language.iso en en_ZA
dc.publisher Taylor and Francis en_ZA
dc.rights © 2019 Taylor & Francis Group, LLC. This is an electronic version of an article published in Communications in Statistics Theory and Methods , vol. 19, no. 18, pp. 4413-4429, 2020. doi : 10.1080/03610926.2019.1601219. Communications in Statistics Theory and Methods is available online at : http://www.tandfonline.comloi/lsta20. en_ZA
dc.subject Cumulative distribution function (CDF) en_ZA
dc.subject Two-piece en_ZA
dc.subject Half distributions en_ZA
dc.subject Quantile functions en_ZA
dc.subject L-moments en_ZA
dc.subject Asymmetric generalization en_ZA
dc.subject Symmetric univariate probability distribution en_ZA
dc.subject Quantile splicing en_ZA
dc.title Asymmetric generalizations of symmetric univariate probability distributions obtained through quantile splicing en_ZA
dc.type Postprint Article en_ZA


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